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VOLUME 139 NUMBER 12 DECEMBER 2011

WHOLE NUMBER 630

A M E R I C A N M A T H E M A T I C A L S O C I E T Y

EDITED BYMario BonkLev BorisovKathrin BringmannJames E. CollianderWalter CraigHarm DerksenAlexander N. DranishnikovFranc ForstnericJim HaglundMichael HitrikBirge Huisgen-ZimmermannMarius JungeJulia KnightBryna KraMichael T. LaceyVarghese MathaiMark M. MeerschaertKailash C. Misra

Lei NiKen Ono,

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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY

CONTENTS

Vol. 139, No. 12 Whole No. 630 December 2011

A. ALGEBRA, NUMBER THEORY, AND COMBINATORICS

Igor Nikolaev, Langlands reciprocity for the even-dimensional noncommutativetori . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4153

Jodi Black, Implications of the Hasse principle for zero cycles of degree one onprincipal homogeneous spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4163

Indranil Biswas, Norbert Hoffmann, Amit Hogadi, and Alexander H. W.Schmitt, The Brauer group of moduli spaces of vector bundles over a realcurve . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4173

Enrico Carlini and Adam Van Tuyl, Star configuration points and generic planecurves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4181

Mordechai Katzman, Gennady Lyubeznik, and Wenliang Zhang, An upperbound on the number of F -jumping coefficients of a principal ideal . . . . . . . . . 4193

Abed Abedelfatah, On stably free modules over Laurent polynomial rings . . . . . 4199

Yuqun Chen and Qiuhui Mo, Embedding dendriform algebra into its universalenveloping Rota-Baxter algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4207

Koenraad M. R. Audenaert, A characterisation of anti-Lowner functions . . . . . 4217

Silvana Bazzoni, Francesca Mantese, and Alberto Tonolo, Derived equiva-lence induced by infinitely generated n-tilting modules . . . . . . . . . . . . . . . . . . . . . 4225

Louiza Fouli, Janet C. Vassilev, and Adela N. Vraciu, A formula for the∗-core of an ideal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4235

Margherita Barile, Dominique Bernardi, Alexander Borisov, and Jean-Michel Kantor, On empty lattice simplices in dimension 4 . . . . . . . . . . . . . . . 4247

Gilbert Strang, Groups of banded matrices with banded inverses . . . . . . . . . . . . . . 4255

Matija Kazalicki, 2-adic properties of modular functions associated to Fermatcurves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4265

Adrien Dubouloz, Lucy Moser-Jauslin, and P.-M. Poloni, Noncancellationfor contractible affine threefolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4273

Gabor Elek and Endre Szabo, Sofic representations of amenable groups . . . . . . 4285

Nguyen Ngoc Dong Quan, On the Hasse principle for certain quartic hyper-surfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4293

B. ANALYSIS

Eduardo Hernandez, Cα-classical solutions for abstract non-autonomous integro-differential equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4307

Micha l Kowalczyk and Yong Liu, Nondegeneracy of the saddle solution of theAllen-Cahn equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4319

C. Benhida and E. H. Zerouali, Spectral properties of commuting operationsfor n-tuples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4331

K. Q. Lan, Nonzero positive solutions of systems of elliptic boundary valueproblems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4343

Khaled Kefi, p(x)-Laplacian with indefinite weight . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4351

Todor Gramchev, Stevan Pilipovic, and Luigi Rodino, Eigenfunctionexpansions in Rn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4361

Boo Rim Choe, Hyungwoon Koo, and Wayne Smith, A note on compositionoperators acting on holomorphic Sobolev spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4369

Edmond E. Granirer, The Radon-Nikodym property for some Banach algebrasrelated to the Fourier algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4377

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Ji Li, Liang Song, and Chaoqiang Tan, Various characterizations of productHardy space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4385

Zair Ibragimov, Hyperbolizing metric spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4401

Baishun Lai and Zhihao Ge, Infinite multiplicity for an inhomogeneoussupercritical problem in entire space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4409

Gideon Schechtman, Tight embedding of subspaces of Lp in `np for even p . . . . . 4419

C. APPLIED MATHEMATICS

Steven E. Landsburg, Nash equilibria in quantum games . . . . . . . . . . . . . . . . . . . . . . 4423

D. GEOMETRY

Jian Ge, Soul theorem for 4-dimensional topologically regular open nonnegativelycurved Alexandrov spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4435

Roberta Musina, Planar loops with prescribed curvature: Existence, multiplicityand uniqueness results . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4445

Matthew Miller and Max Wakefield, Formality of Pascal arrangements . . . . . 4461

Rebecca Dorff, Drew Johnson, Gary R. Lawlor, and Donald Sampson,Isoperimetric surfaces with boundary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4467

Sergey Orshanskiy, A PL-manifold of nonnegative curvature homeomorphic toS2 × S2 is a direct metric product . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4475

E. LOGIC AND FOUNDATIONS

Fredrik Engstrom and Philipp Schlicht, Non-isomorphism invariant Borelquantifiers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4487

F. STATISTICS AND PROBABILITY

Peng Dai and Eugene A. Feinberg, On maximal ranges of vector measures forsubsets and purification of transition probabilities . . . . . . . . . . . . . . . . . . . . . . . . . . 4497

G. TOPOLOGY

Sebastian Baader and Masaharu Ishikawa, Legendrian framings for two-bridgelinks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4513






















INDEX TO VOLUME 139 (2011)

Abe, Tetsuya. The Rasmussen invariant of a homogeneous knot, 2647Abedelfatah, Abed. On stably free modules over Laurent polynomial rings, 4199

Aberbach, Ian M., and Aline Hosry. The Briancon-Skoda theorem and coefficient ideals fornon-m-primary ideals, 3903

Abhyankar, Shreeram S. Pillars and towers of quadratic transformations, 3067. More about dicriticals, 3083

Accardi, Luigi, and Andreas Boukas. The Schrodinger Fock kernel and the no-go theorem for

the first order and Renormalized Square of White Noise Lie algebras, 2973

Addington, Nicolas. Spinor sheaves on singular quadrics, 3867Afsari, Bijan. Riemannian Lp center of mass: Existence, uniqueness, and convexity, 655

Agore, A. L. Limits of coalgebras, bialgebras and Hopf algebras, 855

Ahlgren, Scott, and Jeremy Rouse. Congruences for newforms and the index of the Hecke alge-bra, 1247

Aistleitner, C., I. Berkes, and R. Tichy. On the asymptotic behavior of weakly lacunary series,

2505Alemany, Elena, Antonio Beltran, and Marıa Jose Felipe. Nilpotency of normal subgroups having

two G-class sizes, 2663Alfes, Claudia, Marie Jameson, and Robert J. Lemke Oliver. Proof of the Alder-Andrews con-

jecture, 63

Alikakos, Nicholas D. Some basic facts on the system ∆u−Wu(u) = 0, 153Alonso-Gutierrez, David. A remark on the isotropy constant of polytopes, 2565

Altınel, Tuna, and John S. Wilson. Linear representations of soluble groups of finite Morley

rank, 2957Amdeberhan, Tewodros, Mark W. Coffey, Olivier Espinosa, Christoph Koutschan, Dante V.

Manna, and Victor H. Moll. Integrals of powers of loggamma, 535

Anantharam, Venkat, and Takis Konstantopoulos. Integral representation of Skorokhod reflec-tion, 2227

Anciaux, Henri, and Brendan Guilfoyle. On the three-dimensional Blaschke-Lebesgue problem,

1831Anderson, Theresa C., Larry Rolen, and Ruth Stoehr. Benford’s law for coefficients of modular

forms and partition functions, 1533Angel, Omer, Alexander E. Holroyd, and Terry Soo. Deterministic thinning of finite Poisson

processes, 707

Antunovic, Tonci, Yuval Peres, and Brigitta Vermesi. Brownian motion with variable drift canbe space filling, 3359

Arias, Alvaro, and Frederic Latremoliere. Ergodic actions of convergent Fuchsian groups on

quotients of the noncommutative Hardy algebras, 2485Armstrong, Scott N., Charles K. Smart, and Stephanie J. Somersille. An infinity Laplace equation

with gradient term and mixed boundary conditions, 1763Aron, R. M., B. Cascales, and O. Kozhushkina. The Bishop-Phelps-Bollobas theorem and As-

plund operators, 3553

Arzhantsev, Ivan V. Flag varieties as equivariant compactifications of Gna , 783Athavale, Ameer, and Pramod Patil. On the duals of Szego and Cauchy tuples, 491Athreya, Krishna B., and Justin R. Peters. Continuity of translation operators, 4027

Audenaert, Koenraad M. R. A characterisation of anti-Lowner functions, 4217Baader, Sebastian, and Masaharu Ishikawa. Legendrian framings for two-bridge links, 4513

Baker, Hendrik. Good quotients of Mori dream spaces, 3135Ball, Joseph A., Vladimir Bolotnikov, and Sanne ter Horst. Interpolation in de Branges-Rovnyak

spaces, 609

Ballantine, Cristina, and Dan Ciubotaru. Ramanujan bigraphs associated with SU(3) over a

p-adic field, 1939Ban, Jung-Chao, and Chih-Hung Chang. Factor map, diamond and density of pressure func-

tions, 3985Banica, Teodor, Julien Bichon, and Stephen Curran. Quantum automorphisms of twisted group

algebras and free hypergeometric laws, 3961

Bannon, Jon P. A non-residually solvable hyperlinear one-relator group, 1409Barile, Margherita, Dominique Bernardi, Alexander Borisov, and Jean-Michel Kantor. On empty

lattice simplices in dimension 4, 4247

























































Barreira, Luis, and Claudia Valls. Smooth robustness of exponential dichotomies, 999

Basu, Rabeya, Pratyusha Chattopadhyay, and Ravi A. Rao. Some remarks on symplectic injec-

tive stability, 2317Battaglia, Fiammetta. Betti numbers of the geometric spaces associated to nonrational simple

convex polytopes, 2309

Bazzoni, Silvana, Francesca Mantese, and Alberto Tonolo. Derived equivalence induced by infin-itely generated n-tilting modules, 4225

Becker, Howard. Representing pointsets as unions of Borel sets, 4137

Bekjan, Turdebek N. Characterization of subdiagonal algebras, 1121Beltran, Antonio. See Alemany, Elena

Benhida, C., and E. H. Zerouali. Spectral properties of commuting operations for n-tuples , 4331

Benjamini, Itai, and Panos Papasoglu. Growth and isoperimetric profile of planar graphs, 4105Berezansky, Leonid, and Elena Braverman. On some constants for oscillation and stability of

delay equations, 4017Berg, Christian, and Henrik L. Pedersen. A one-parameter family of Pick functions defined by

the Gamma function and related to the volume of the unit ball in n-space, 2121

Bergeron, Nantel, and Jean-Louis Loday. The symmetric operation in a free pre-Lie algebra ismagmatic, 1585

Berkes, I. See Aistleitner, C.

Bernardi, Dominique. See Barile, MargheritaBerndt, Bruce C., and Byungchan Kim. Asymptotic expansions of certain partial theta functions,

3779

Betsakos, Dimitrios. Geometric versions of Schwarz’s lemma for quasiregular mappings, 1397. Multi-point variations of the Schwarz lemma with diameter and width conditions, 4041

Bevan, J. J. Extending the Knops-Stuart-Taheri technique to C1 weak local minimizers in non-linear elasticity, 1667

Bharali, Gautam, and Sushil Gorai. Uniform algebras generated by holomorphic and close-to-

harmonic functions, 2183Bichon, Julien. See Banica, Teodor

Biswas, Indranil, Norbert Hoffmann, Amit Hogadi, and Alexander H. W. Schmitt. The Brauer

group of moduli spaces of vector bundles over a real curve, 4173Biswas, Indranil, A. J. Parameswaran, and S. Subramanian. Essentially finite vector bundles on

varieties with trivial tangent bundle, 3821

Black, Jodi. Implications of the Hasse principle for zero cycles of degree one on principalhomogeneous spaces, 4163

Blecher, David P., and Matthew Neal. Metric characterizations of isometries and of unital

operator spaces and systems, 985Boij, Mats, Enrico Carlini, and Anthony V. Geramita. Monomials as sums of powers: The real

binary case, 3039Bolotnikov, Vladimir. See Ball, Joseph A.Borell, Stefan. The ball embedding property of the open unit disc, 3573Borisov, Alexander. See Barile, MargheritaBorisov, Lev A., and Renling Jin. Finding integral diagonal pairs in a two dimensional N–set,

2431

Boukas, Andreas. See Accardi, LuigiBownik, Marcin, John Jasper, and Darrin Speegle. Orthonormal dilations of non-tight frames,

3247Braun, A., and C. R. Hajarnavis. Smooth PI algebras with finite divisor class group, 849Braverman, Elena. See Berezansky, LeonidBrennan, Joseph P., and Neil Epstein. Noether normalizations, reductions of ideals, and ma-

troids, 2671Brodmann, M., E. Park, and P. Schenzel. On varieties of almost minimal degree II: A rank-depth

formula, 2025Bu latek, Wojciech, and Brunon Kaminski. On the topological Kolmogorov property of the Chacon

and Petersen subshifts, 1735

Cagliero, Leandro, and Fernando Szechtman. Jordan-Chevalley decomposition in finite dimen-sional Lie algebras, 3909

Calegari, Danny, and Joel Louwsma. Immersed surfaces in the modular orbifold, 2295

















































Calkin, Neil J., Julia Davis, Michelle Delcourt, Zebediah Engberg, Jobby Jacob, and Kevin James.

Discrete Bernoulli convolutions: An algorithmic approach toward bound improvement, 1579

Camargo, F., A. Caminha, and H. de Lima. Bernstein-type theorems in semi-Riemannian warpedproducts, 1841

Camerlo, Riccardo. Dendrites as Polish structures, 2217

Caminha, A. See Camargo, F.Cao, Wensheng, and Krishnendu Gongopadhyay. Commuting isometries of the complex hyper-

bolic space, 3317

Carlini, Enrico. See Boij, MatsCarlini, Enrico, and Adam Van Tuyl. Star configuration points and generic plane curves, 4181

Carlsson, Marcus. On truncated Wiener-Hopf operators and BMO(Z), 1717

Carrillo, M. Dıaz. See de Amo, E.Carrillo-Alanıs, Javier. On local Khintchine inequalities for spaces of exponential integrability,

2753Cascales, B. See Aron, R. M.

Cavalieri, Renzo, and Stephanie Yang. Tautological pairings on moduli spaces of curves, 51

Cerne, Miran, and Matej Zajec. Boundary differential relations for holomorphic functions onthe disc, 473

Chabert, Jean-Luc, and Youssef Fares. Preservation of the residual classes numbers by poly-

nomials, 2423Chacon, Gerardo R. Carleson measures on Dirichlet-type spaces, 1605

Chad, Ben, and Chris Good. Homeomorphisms of two-point sets, 2287

Chadam, John. See Chen, XinfuChamizo, Fernando. Hyperbolic lattice point problems, 451

Chang, Chih-Hung. See Ban, Jung-Chao

Charalambous, Hara. Topological constructions for multigraded squarefree modules, 2383Chattopadhyay, Pratyusha. See Basu, Rabeya

Chen, C., and C-H. Chu. Hypercyclic weighted translations on groups, 2839Chen, Dongyang, and Bentuo Zheng. Remarks on Lipschitz p-summing operators, 2891

Chen, Guanwei, and Shiwang Ma. Homoclinic orbits of superlinear Hamiltonian systems, 3973

Chen, Huaihui, and Paul M. Gauthier. The Landau theorem and Bloch theorem for planar har-monic and pluriharmonic mappings, 583

Chen, William Y. C., and Ernest X. W. Xia. The 2-log-convexity of the Apery numbers, 391

Chen, Xinfu, Huibin Cheng, and John Chadam. Far-from-expiry behavior of the American putoption on a dividend-paying asset, 273

Chen, Yong-Gao, and Jin-Hui Fang. On additive complements. II, 881

Chen, Yuqun, and Qiuhui Mo. Embedding dendriform algebra into its universal enveloping Rota-Baxter algebra, 4207

Chen, Zhengxin. See Wang, DengyinCheng, Huibin. See Chen, XinfuCheng, Qing-Ming, and Hongcang Yang. Universal inequalities for eigenvalues of a clamped

plate problem on a hyperbolic space, 461Cheng, Wei. On Mather’s α-function of mechanical systems, 2143

Chifan, Ionut, and Adrian Ioana. On a question of D. Shlyakhtenko, 1091

Cho, Bumkyu, and YoungJu Choie. Zagier duality for harmonic weak Maass forms of integralweight, 787

Cho, Sanghyun. Sobolev estimates for the local extension of ∂b-closed (0, 1)-forms on real

hypersurfaces in Cn with two positive eigenvalues, 4053Choe, Boo Rim, Hyungwoon Koo, and Wayne Smith. A note on composition operators acting

on holomorphic Sobolev spaces, 4369

Choi, Y., and M. J. Heath. Characterizing derivations from the disk algebra to its dual, 1073Choi, Y. S., and Craig Miller. Global existence of solutions to a coupled parabolic-hyperbolic

system with moving boundary, 3257

Choie, YoungJu. See Cho, BumkyuChristianson, Hans. Classification of order preserving isomorphisms between algebras of semi-

classical operators, 499

Chu, C-H. See Chen, C.Chu, Huah, Shou-Jen Hu, and Ming-chang Kang. A note on projective normality, 1989















































Chu, Lizhong. Top local cohomology modules with respect to a pair of ideals, 777

Chu, Wenchang, and Chenying Wang. Bilateral q-Watson and q-Whipple sums, 931

Ciubotaru, Dan. See Ballantine, CristinaClaesson, Anders, and Svante Linusson. n! matchings, n! posets, 435

Codes, Jeronimo Lopez - Salazar. Vector spaces of entire functions of unbounded type, 1347

Coffey, Mark W. See Amdeberhan, TewodrosColombini, Ferruccio, Vesselin Petkov, and Jeffrey Rauch. Incoming and disappearing solutions

for Maxwell’s equations, 2163

Colombo, Fabrizio, Irene Sabadini, and Daniele C. Struppa. The Runge theorem for slice hyper-holomorphic functions, 1787

Contreras, M. D., C. de Fabritiis, and S. Dıaz-Madrigal. Semigroups of holomorphic functions

in the polydisk, 1617Cook, David, II. The structure of the Boij-Soderberg posets, 2009

Cools, Filip, and Marc Coppens. Singular hypersurfaces possessing infinitely many star points,3413

Cooper, Andrew A. A characterization of the singular time of the mean curvature flow, 2933

Coppens, Marc. See Cools, Filipde Cornulier, Yves. Erratum to “Finitely presentable, non-Hopfian groups with Kazhdan’s Prop-

erty (T) and infinite outer automorphism group”, 383

Cortinas, G., C. Haesemeyer, Mark E. Walker, and C. Weibel. A negative answer to a questionof Bass, 1187

Cox, Ben, and Vyacheslav Futorny. DJKM algebras I: Their universal central extension, 3451

Cozzi, Elaine, and Robert L. Pego. On optimal estimates for the Laplace-Leray commutator inplanar domains with corners, 1691

Cuesta, Fernando Alcalde, Alvaro Lozano Rojo, and Marta Macho Stadler. Transversely Cantorlaminations as inverse limits, 2615

Cummings, James, and Menachem Magidor. Martin’s maximum and weak square, 3339

Curran, Stephen. See Banica, TeodorDai, Limei. Existence of solutions with asymptotic behavior of exterior problems of Hessian

equations, 2853

Dai, Peng, and Eugene A. Feinberg. On maximal ranges of vector measures for subsets andpurification of transition probabilities, 4497

Danilenko, Alexandre I., and Kyewon K. Park. Rank-one flows of transformations with infinite

ergodic index, 201Dasbach, Oliver T., and Adam M. Lowrance. Turaev genus, knot signature, and the knot ho-

mology concordance invariants, 2631da Silva, P. L. Dattori, and A. Meziani. Properties of solutions of a class of planar elliptic

operators with degeneracies, 3937

Davis, Damek, and Daqing Wan. Factorial and Noetherian subrings of power series rings, 823Davis, Julia. See Calkin, Neil J.

de Amo, E., M. Dıaz Carrillo, and J. Fernandez-Sanchez. Another proof of Euler’s formula for

ζ(2k), 1441de Fabritiis, C. See Contreras, M. D.

De Falco, M., F. de Giovanni, C. Musella, and Y. P. Sysak. On the upper central series of infinite

groups, 385de Giovanni, F. See De Falco, M.

Delcourt, Michelle. See Calkin, Neil J.

Delgado, Juan Manuel. See Pineiro, Candidode Lima, H. See Camargo, F.

De Maesschalck, P., and F. Dumortier. Bifurcations of multiple relaxation oscillations in poly-nomial Lienard equations, 2073

Deraux, Martin, and Harish Seshadri. Almost quarter-pinched Kahler metrics and Chern num-

bers, 2571Dıaz-Madrigal, S. See Contreras, M. D.

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VOLUME 139 2011

A M E R I C A N M A T H E M A T I C A L S O C I E T Y

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CONTENTS

Vol. 139, No. 1 Whole No. 619 January 2011


Pha.m Ti´en So

,

n, The Lojasiewicz exponent of a continuous subanalytic functionat an isolated zero . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1

Dinesh S. Thakur, Higher diophantine approximation exponents and continuedfraction symmetries for function fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11

Hui Xue, Central values of L-functions and half-integral weight forms . . . . . . . . . . . 21

Clemens Fuchs and Attila Petho, Composite rational functions having abounded number of zeros and poles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31

Kevin G. Hare, Shanta Laishram, and Thomas Stoll, Stolarsky’s conjectureand the sum of digits of polynomial values . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39

Renzo Cavalieri and Stephanie Yang, Tautological pairings on moduli spaces ofcurves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51

Claudia Alfes, Marie Jameson, and Robert J. Lemke Oliver, Proof of theAlder-Andrews conjecture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63

Melissa Lindsey, A class of Hilbert series and the strong Lefschetz property . . . . 79

Ales Drapal, A simplified proof of Moufang’s theorem . . . . . . . . . . . . . . . . . . . . . . . . . . 93

S. Launois and T. H. Lenagan, Twisting the quantum grassmannian . . . . . . . . . 99

Mihran Papikian, On finite arithmetic simplicial complexes . . . . . . . . . . . . . . . . . . . . 111

Yi Zhang, A property of local cohomology modules of polynomial rings . . . . . . . . . 125

B. ANALYSIS

Sung-Yeon Kim, Regularity of rigid CR hypersurfaces in a sphere . . . . . . . . . . . . . . 129

Rados law Wieczorek, Nearest neighbour distance and dimension of intensitymeasure of Poisson point process . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139

Nicholas D. Alikakos, Some basic facts on the system ∆u−Wu(u) = 0 . . . . . . . . 153

Ebrahim Samei, Reflexivity and hyperreflexivity of bounded N -cocycles fromgroup algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 163

Stefano Trapani, Divisorial Zariski decomposition and algebraic Morse inequali-ties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 177

Mariusz Lemanczyk, Francois Parreau, and Emmanuel Roy, Joiningprimeness and disjointness from infinitely divisible systems . . . . . . . . . . . . . . . . . 185

Alexandre I. Danilenko and Kyewon K. Park, Rank-one flows oftransformations with infinite ergodic index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201

Patrice Rivard, A Schwarz–Pick Theorem for higher-order hyperbolic derivatives 209

Yimin Zhang, Jun Yang, and Yaotian Shen, Solutions for nonlinear ellipticequations with general weight in the Sobolev-Hardy space . . . . . . . . . . . . . . . . . . 219

Kazuyoshi Kiyohara and Peter Topalov, On Liouville integrability ofh-projectively equivalent Kahler metrics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 231

Steven Lord and Fedor A. Sukochev, Noncommutative residues and acharacterisation of the noncommutative integral . . . . . . . . . . . . . . . . . . . . . . . . . . . . 243

Costas Poulios, Regular methods of summability on tree-sequences in Banachspaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 259

Xinfu Chen, Huibin Cheng, and John Chadam, Far-from-expiry behavior ofthe American put option on a dividend-paying asset . . . . . . . . . . . . . . . . . . . . . . . 273


C. A. Marx, Continuity of spectral averaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283











































D. GEOMETRY

Mohammad Ghomi, A Riemannian four vertex theorem for surfaces withboundary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 293

Benjamin Schmidt, Spherical points in Riemannian manifolds . . . . . . . . . . . . . . . . . 305

Kazuyuki Hasegawa, Surfaces in four-dimensional hyperkahler manifolds whosetwistor lifts are harmonic sections . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 309


Chris Miller, Expansions of o-minimal structures on the real field by trajectoriesof linear vector fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 319

Gejza Jenca, Coexistence in interval effect algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 331

Johanna N. Y. Franklin and Keng Meng Ng, Difference randomness . . . . . . . 345


Xiaofei Wang, Jianhua Guo, and Xuming He, Finding the minimal set forcollapsible graphical models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 361

G. TOPOLOGY

Louis Funar, Two questions on mapping class groups . . . . . . . . . . . . . . . . . . . . . . . . . . . 375

ERRATA

Yves de Cornulier, Erratum to “Finitely presentable, non-Hopfian groups withKazhdan’s Property (T) and infinite outer automorphism group” . . . . . . . . . . . 383

Vol. 139, No. 2 Whole No. 620 February 2011


M. De Falco, F. de Giovanni, C. Musella, and Y. P. Sysak, On the uppercentral series of infinite groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 385

William Y. C. Chen and Ernest X. W. Xia, The 2-log-convexity of the Aperynumbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 391

J. D. Mitchell, M. Morayne, and Y. Peresse, Generating the infinitesymmetric group using a closed subgroup and the least number of otherelements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 401

Laszlo Merai, Construction of pseudorandom binary lattices using elliptic curves 407

Peter Linnell, Wolfgang Luck, and Roman Sauer, The limit of Fp-Bettinumbers of a tower of finite covers with amenable fundamental groups . . . . . 421

Anders Claesson and Svante Linusson, n! matchings, n! posets . . . . . . . . . . . . . 435

Fernando Chamizo, Hyperbolic lattice point problems . . . . . . . . . . . . . . . . . . . . . . . . . 451

B. ANALYSIS

Qing-Ming Cheng and Hongcang Yang, Universal inequalities for eigenvaluesof a clamped plate problem on a hyperbolic space . . . . . . . . . . . . . . . . . . . . . . . . . . 461

Miran Cerne and Matej Zajec, Boundary differential relations for holomorphicfunctions on the disc . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 473

Marko Kandic, Ideal-triangularizability of nil-algebras generated by positiveoperators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 485

































Ameer Athavale and Pramod Patil, On the duals of Szego and Cauchy tuples 491

Hans Christianson, Classification of order preserving isomorphisms betweenalgebras of semiclassical operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 499

Yufeng Lu, Yixin Yang, and Rongwei Yang, An index formula for the twovariable Jordan block . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 511

Asen L. Dontchev and Helene Frankowska, Lyusternik-Graves theorem andfixed points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 521

Tewodros Amdeberhan, Mark W. Coffey, Olivier Espinosa, ChristophKoutschan, Dante V. Manna, and Victor H. Moll, Integrals of powersof loggamma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 535

Young Joo Lee and Quang Dieu Nguyen, Toeplitz operators on the Dirichletspaces of planar domains . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 547

Lukasz Kosinski, Geometry of quasi-circular domains and applications to tetra-block . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 559

Franz Luef, Projections in noncommutative tori and Gabor frames . . . . . . . . . . . . . 571

Huaihui Chen and Paul M. Gauthier, The Landau theorem and Bloch theoremfor planar harmonic and pluriharmonic mappings . . . . . . . . . . . . . . . . . . . . . . . . . . 583

Andrzej Fryszkowski and Tadeusz Rzezuchowski, Pointwise estimates forretractions on the solution set to Lipschitz differential inclusions . . . . . . . . . . . 597

Joseph A. Ball, Vladimir Bolotnikov, and Sanne ter Horst, Interpolation inde Branges-Rovnyak spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 609

Francesco Degli Innocenti and Chiara Frosini, Upper-bound for the numberof robust parabolic curves for a class of maps tangent to identity . . . . . . . . . . . 619

Nathaniel Johnston and David W. Kribs, Generalized multiplicative domainsand quantum error correction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 627

D. GEOMETRY

Alberto Saracco and Adriano Tomassini, On deformations of compactbalanced manifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 641

Bijan Afsari, Riemannian Lp center of mass: Existence, uniqueness, and convexity 655

Davi Maximo, Non-negative Ricci curvature on closed manifolds under Ricci flow 675

Jianming Wan, Closed geodesics and volume growth of Riemannian manifolds . 687


Marjorie G. Hahn, Kei Kobayashi, and Sabir Umarov, Fokker-Planck-Kolmogorov equations associated with time-changed fractional Brownianmotion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 691

Omer Angel, Alexander E. Holroyd, and Terry Soo, Deterministic thinningof finite Poisson processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 707

Adam Osekowski, Maximal inequalities for continuous martingales and theirdifferential subordinates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 721

Lutz Mattner and Uwe Rosler, Optimal L1-bounds for submartingales . . . . . . 735

G. TOPOLOGY

Vesko Valov, Parametric Bing and Krasinkiewicz maps: revisited . . . . . . . . . . . . . . . 747

Zhe Du, On the spectrum of (Spin(10, 2), SL(2,R)) in E7,3 . . . . . . . . . . . . . . . . . . . . . 757








































Vol. 139, No. 3 Whole No. 621 March 2011


Marek Karas, There is no tame automorphism of C3 with multidegree (3, 4, 5) . 769

Lizhong Chu, Top local cohomology modules with respect to a pair of ideals . . . 777

Ivan V. Arzhantsev, Flag varieties as equivariant compactifications of Gna . . . . . 783

Bumkyu Cho and YoungJu Choie, Zagier duality for harmonic weak Maassforms of integral weight . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 787

Rostyslav Kozhan, Equivalence classes of block Jacobi matrices . . . . . . . . . . . . . . . 799

John W. Jones, Wild ramification bounds and simple group Galois extensionsramified only at 2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 807

Damek Davis and Daqing Wan, Factorial and Noetherian subrings of powerseries rings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 823

Nicolas Ressayre and Edward Richmond, Branching Schubert calculus and theBelkale-Kumar product on cohomology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 835

A. Braun and C. R. Hajarnavis, Smooth PI algebras with finite divisor classgroup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 849

A. L. Agore, Limits of coalgebras, bialgebras and Hopf algebras . . . . . . . . . . . . . . . . 855

Matthias Waldherr, On certain explicit congruences for mock theta functions . 865

Yong-Gao Chen and Jin-Hui Fang, On additive complements. II . . . . . . . . . . . . 881

B. ANALYSIS

Claus Kostler, On Lehner’s ‘free’ noncommutative analogue of de Finetti’stheorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 885

R. Exel, Non-Hausdorff etale groupoids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 897

M. Pavlovic and Jose Angel Pelaez, Remarks on the area theorem in the theoryof univalent functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 909

John Mallet-Paret and Roger D. Nussbaum, Inequivalent measures ofnoncompactness and the radius of the essential spectrum . . . . . . . . . . . . . . . . . . . 917

Wenchang Chu and Chenying Wang, Bilateral q-Watson and q-Whipple sums 931

Amin Esfahani and Ademir Pastor, Ill-posedness results for the (generalized)Benjamin-Ono-Zakharov-Kuznetsov equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 943

Candido Pineiro and Juan Manuel Delgado, p-convergent sequences andBanach spaces in which p-compact sets are q-compact . . . . . . . . . . . . . . . . . . . . . . 957

Miroslav Pavlovic, A Schwarz lemma for the modulus of a vector-valued analyticfunction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 969

Yasuhito Miyamoto, Nondegeneracy of the second bifurcating branches for theChafee-Infante problem on a planar symmetric domain . . . . . . . . . . . . . . . . . . . . . 975

David P. Blecher and Matthew Neal, Metric characterizations of isometries andof unital operator spaces and systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 985

Luis Barreira and Claudia Valls, Smooth robustness of exponential dichotomies 999

Dimitar K. Dimitrov and Fabio R. Lucas, Higher order Turan inequalities forthe Riemann ξ-function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1013

Changfeng Gui, Andrea Malchiodi, and Haoyuan Xu, Axial symmetry ofsome steady state solutions to nonlinear Schrodinger equations . . . . . . . . . . . . . 1023

Tian Xiang and Rong Yuan, Critical type of Krasnosel’skii fixed point theorem 1033

Wen-Guei Hu and Song-Sun Lin, Nonemptiness problems of plane square tilingwith two colors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1045

Igor V. Evstigneev, Sergey A. Pirogov, and Klaus R. Schenk-Hoppe,Linearization and local stability of random dynamical systems . . . . . . . . . . . . . 1061













































Y. Choi and M. J. Heath, Characterizing derivations from the disk algebra to itsdual . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1073

G. Ramesh, The Horn-Li-Merino formula for the gap and the spherical gap ofunbounded operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1081

Ionut Chifan and Adrian Ioana, On a question of D. Shlyakhtenko . . . . . . . . . . 1091

A. S. Granero, J. M. Hernandez, and H. Pfitzner, The distance dist(B, X)when B is a boundary of B(X∗∗) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1095

Pavel Ludvık and Jirı Spurny, Isomorphisms of spaces of continuous affinefunctions on compact convex sets with Lindelof boundaries . . . . . . . . . . . . . . . . . 1099

Jan Emonds and Hartmut Fuhr, Strictly positive definite functions on compactabelian groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1105

Vern I. Paulsen, Syndetic sets, paving and the Feichtinger conjecture . . . . . . . . . . 1115

Turdebek N. Bekjan, Characterization of subdiagonal algebras . . . . . . . . . . . . . . . . 1121

D. GEOMETRY

Yan He and Weimin Sheng, Prescribing the symmetric function of theeigenvalues of the Schouten tensor . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1127

Vol. 139, No. 4 Whole No. 622 April 2011


Edward Formanek, Theorems of W. W. Stothers and the Jacobian Conjecture intwo variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1137

David Harbater and Katherine Stevenson, Embedding problems and opensubgroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1141

Wojciech Kucharz and Kamil Rusek, An application of ample vector bundlesin real algebraic geometry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1155

Johannes Nicaise, Motivic invariants of algebraic tori . . . . . . . . . . . . . . . . . . . . . . . . . . 1163

Holly Swisher, The Andrews-Stanley partition function and p(n): congruences . 1175

G. Cortinas, C. Haesemeyer, Mark E. Walker, and C. Weibel, A negativeanswer to a question of Bass . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1187

Tomasz Rodak and Stanis law Spodzieja, Lojasiewicz exponent near the fibreof a mapping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1201

Makoto Matsumoto, Difference between Galois representations in automorphismand outer-automorphism groups of a fundamental group . . . . . . . . . . . . . . . . . . . 1215

Hirotaka Ishida, The existence of hyperelliptic fibrations with slope four and highrelative Euler-Poincare characteristic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1221

Takao Satoh, The Johnson filtration of the McCool stabilizer subgroup of theautomorphism group of a free group . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1237

Scott Ahlgren and Jeremy Rouse, Congruences for newforms and the index ofthe Hecke algebra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1247

Goncalo Tabuada, A universal characterization of the Chern character maps . . . 1263

Robert J. Lemke Oliver, Gauss sums over finite fields and roots of unity . . . . . . 1273

M. Ram Murty and R. Thangadurai, The class number of Q(√−p) and digits

of 1/p . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1277

Shoyu Nagaoka and Yoshitugu Nakamura, On the restriction of the HermitianEisenstein series and its applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1291










































Hideki Miyachi and Hiroshige Shiga, Holonomies and the slope inequality ofLefschetz fibrations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1299

Benjamin Allen Otto, Sets of integers as superdegrees and superclass sizes . . . . 1309

Martin Raum, Hecke algebras related to the unimodular and modular groups overquadratic field extensions and quaternion algebras . . . . . . . . . . . . . . . . . . . . . . . . . 1321

B. ANALYSIS

Fumiyama Shu, Masaki Tanaka, and Minoru Yanagishita, Neumannproblem on a half-space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1333

Jeronimo Lopez - Salazar Codes, Vector spaces of entire functions of unboundedtype . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1347

Jian Fang, Junjie Wei, and Xiao-Qiang Zhao, Uniqueness of traveling wavesfor nonlocal lattice equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1361

Viktor Harangi, The Koch snowflake curve is tube-null . . . . . . . . . . . . . . . . . . . . . . . . 1375

Eloi Medina Galego, On spaces of compact operators on C(K,X) spaces . . . . . . 1383

Bebe Prunaru, Toeplitz and Hankel operators associated with subdiagonalalgebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1387

Dimitrios Betsakos, Geometric versions of Schwarz’s lemma for quasiregularmappings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1397

Jon P. Bannon, A non-residually solvable hyperlinear one-relator group . . . . . . . . 1409

Shin Kikuta, Caratheodory measure hyperbolicity and positivity of canonicalbundles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1411

Joana Terra and Noemi Wolanski, Asymptotic behavior for a nonlocal diffusionequation with absorption and nonintegrable initial data. The supercritical case 1421

Elizabeth S. Meckes and Mark W. Meckes, Another observation aboutoperator compressions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1433

E. de Amo, M. Dıaz Carrillo, and J. Fernandez-Sanchez, Another proof ofEuler’s formula for ζ(2k) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1441

Jill Pipher and Sergei Treil, Weak-star convergence in multiparameter Hardyspaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1445

Jie Xiao and Kehe Zhu, Volume integral means of holomorphic functions . . . . . 1455

Mario Ponce, Fibred quadratic polynomials can admit two attracting invariantcurves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1467

D. GEOMETRY

Chengjie Yu, Nonpositively curved Hermitian metrics on product manifolds . . . . 1469

Ai-Jun Li and Gangsong Leng, A new proof of the Orlicz Busemann-Pettycentroid inequality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1473


Amadou Sarr and Arjun K. Gupta, Exponential scale mixture of matrix variateCauchy distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1483

G. TOPOLOGY

Lex G. Oversteegen and Kirsten I. S. Valkenburg, Characterizing isotopiccontinua in the sphere . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1495

Clayton Shonkwiler and David Shea Vela-Vick, Higher-dimensional linkingintegrals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1511









































Vol. 139, No. 5 Whole No. 623 May 2011


Shigeru Kanemitsu, Hailong Li, and Nianliang Wang, Weighted short-interval character sums . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1521

Theresa C. Anderson, Larry Rolen, and Ruth Stoehr, Benford’s law forcoefficients of modular forms and partition functions . . . . . . . . . . . . . . . . . . . . . . . 1533

X.-F. Mao and Q.-S. Wu, A criterion for Gorenstein algebras to be regular . . . 1543

Deepak Naidu, Piyush Shroff, and Sarah Witherspoon, Hochschildcohomology of group extensions of quantum symmetric algebras . . . . . . . . . . . . 1553

Zhi-Wei Sun and Wei Zhang, Binomial coefficients and the ring of p-adic integers 1569

Neil J. Calkin, Julia Davis, Michelle Delcourt, Zebediah Engberg, JobbyJacob, and Kevin James, Discrete Bernoulli convolutions: An algorithmicapproach toward bound improvement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1579

Nantel Bergeron and Jean-Louis Loday, The symmetric operation in a freepre-Lie algebra is magmatic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1585

B. ANALYSIS

Botong Wang, Homomorphisms between fundamental groups of Kahler manifolds 1599

Gerardo R. Chacon, Carleson measures on Dirichlet-type spaces . . . . . . . . . . . . . . 1605

M. D. Contreras, C. de Fabritiis, and S. Dıaz-Madrigal, Semigroups ofholomorphic functions in the polydisk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1617

Vladimir P. Kostov, Boris Shapiro, and Mikhail Tyaglov, Maximal univalentdisks of real rational functions and Hermite-Biehler polynomials . . . . . . . . . . . . 1625

Xiaobao Zhu, Hamilton’s gradient estimates and Liouville theorems for fastdiffusion equations on noncompact Riemannian manifolds . . . . . . . . . . . . . . . . . . 1637

Vy Khoi Le, A range and existence theorem for pseudomonotone perturbations ofmaximal monotone operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1645

Xin Li, A comparison inequality for rational functions . . . . . . . . . . . . . . . . . . . . . . . . . . 1659

J. J. Bevan, Extending the Knops-Stuart-Taheri technique to C1 weak localminimizers in nonlinear elasticity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1667

Daniel Spector, Simple proofs of some results of Reshetnyak . . . . . . . . . . . . . . . . . . . 1681

Elaine Cozzi and Robert L. Pego, On optimal estimates for the Laplace-Leraycommutator in planar domains with corners . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1691

Boil Musev and Nadezhda Ribarska, On a question of J. Borwein andH. Wiersma . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1707

Marcus Carlsson, On truncated Wiener-Hopf operators and BMO(Z) . . . . . . . . . 1717

Wojciech Bu latek and Brunon Kaminski, On the topological Kolmogorovproperty of the Chacon and Petersen subshifts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1735

D. S. Lubinsky, New integral identities for orthogonal polynomials on the real line 1743

Daniel Meyer, Bounded turning circles are weak-quasicircles . . . . . . . . . . . . . . . . . . . 1751

Scott N. Armstrong, Charles K. Smart, and Stephanie J. Somersille, Aninfinity Laplace equation with gradient term and mixed boundary conditions 1763

Yoshikazu Giga, Przemys law Gorka, and Piotr Rybka, A comparisonprinciple for Hamilton-Jacobi equations with discontinuous Hamiltonians . . . 1777

Fabrizio Colombo, Irene Sabadini, and Daniele C. Struppa, The Rungetheorem for slice hyperholomorphic functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1787

Rowan Killip and Monica Visan, The radial defocusing energy-supercriticalnonlinear wave equation in all space dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1805

Sawian Jaidee, Shaun Stevens, and Thomas Ward, Mertens’ theorem for toralautomorphisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1819














































Tapio Rajala, Planar Sobolev homeomorphisms and Hausdorff dimension distor-tion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1825

D. GEOMETRY

Henri Anciaux and Brendan Guilfoyle, On the three-dimensional Blaschke-Lebesgue problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1831

F. Camargo, A. Caminha, and H. de Lima, Bernstein-type theorems in semi-Riemannian warped products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1841

Daniel A. Ramras, On the Yang–Mills stratification for surfaces . . . . . . . . . . . . . . . 1851


Noam Greenberg, Antonio Montalban, and Theodore A. Slaman, TheSlaman-Wehner theorem in higher recursion theory . . . . . . . . . . . . . . . . . . . . . . . . 1865


Ping He, A formula on scattering length of dual Markov processes . . . . . . . . . . . . . . 1871

G. TOPOLOGY

George Raptis, Some remarks on configuration spaces . . . . . . . . . . . . . . . . . . . . . . . . . 1879

David Futer, Efstratia Kalfagianni, and Jessica S. Purcell, Slopes andcolored Jones polynomials of adequate knots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1889

Vol. 139, No. 6 Whole No. 624 June 2011


Carlos Sancho de Salas and Fernando Sancho de Salas, The linear dual of thederived category of a scheme . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1897

Chikashi Miyazaki, Buchsbaum varieties with next to sharp bounds onCastelnuovo-Mumford regularity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1909

Zhi-Hong Sun, Congruences concerning Legendre polynomials . . . . . . . . . . . . . . . . . . 1915

Catherine Lennon, Gaussian hypergeometric evaluations of traces of Frobenius forelliptic curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1931

Cristina Ballantine and Dan Ciubotaru, Ramanujan bigraphs associated withSU(3) over a p-adic field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1939

Akaki Tikaradze, On the Azumaya locus of almost commutative algebras . . . . . . 1955

Luis Dieulefait, Enrique Gonzalez-Jimenez, and Jorge Jimenez Urroz,On fields of definition of torsion points of elliptic curves with complexmultiplication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1961

Antonio Laface, Special systems through double points on an algebraic surface . 1971

Hatem Hamrouni, Remarks on a conjecture of Chabauty . . . . . . . . . . . . . . . . . . . . . . 1983

Huah Chu, Shou-Jen Hu, and Ming-chang Kang, A note on projectivenormality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1989

Hassan Haghighi, Naoki Terai, Siamak Yassemi, and Rahim Zaare-Nahandi, Sequentially Sr simplicial complexes and sequentially S2 graphs . 1993

Pei-Chu Hu and Zhuan Ye, A formula for the discriminant of number fields . . 2007

David Cook II, The structure of the Boij-Soderberg posets . . . . . . . . . . . . . . . . . . . . . 2009

Jason McCullough, A family of ideals with few generators in low degree and largeprojective dimension . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2017



































M. Brodmann, E. Park, and P. Schenzel, On varieties of almost minimal degreeII: A rank-depth formula . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2025

B. Sury, The Tits building and an application to abstract central extensions ofp-adic algebraic groups by finite p-groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2033

Alice Garbagnati, The dihedral group D5 as a group of symplectic automorphismson K3 surfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2045

B. ANALYSIS

Xavier Jarque, On the connectivity of the escaping set for complex exponentialMisiurewicz parameters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2057

Sherwin Kouchekian and James E. Thomson, A note on density for the coreof unbounded Bergman operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2067

P. De Maesschalck and F. Dumortier, Bifurcations of multiple relaxationoscillations in polynomial Lienard equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2073

Hattab Hawete, Relatively pointwise recurrent graph map . . . . . . . . . . . . . . . . . . . . . 2087

Peter Elias, Dirichlet sets, Erdos-Kunen-Mauldin theorem, and analytic subgroupsof the reals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2093

Yunus E. Zeytuncu, Weighted Bergman projections and kernels: Lp regularity andzeros . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2105

Oliver Dragicevic, Weighted estimates for powers of the Ahlfors-Beurlingoperator . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2113

Christian Berg and Henrik L. Pedersen, A one-parameter family ofPick functions defined by the Gamma function and related to the volumeof the unit ball in n-space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2121

D. W. Lee, On multiple Appell polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2133

Wei Cheng, On Mather’s α-function of mechanical systems . . . . . . . . . . . . . . . . . . . . . 2143

Hans-Christoph Grunau, Frederic Robert, and Guido Sweers, Optimalestimates from below for biharmonic Green functions . . . . . . . . . . . . . . . . . . . . . . 2151

Ferruccio Colombini, Vesselin Petkov, and Jeffrey Rauch, Incoming anddisappearing solutions for Maxwell’s equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2163

Christian Remling, Uniqueness of reflectionless Jacobi matrices and the Denisov-Rakhmanov Theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2175

Gautam Bharali and Sushil Gorai, Uniform algebras generated by holomorphicand close-to-harmonic functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2183

D. GEOMETRY

Bobo Hua, Harmonic functions of polynomial growth on singular spaces withnonnegative Ricci curvature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2191

Debora Impera, Luciano Mari, and Marco Rigoli, Some geometric propertiesof hypersurfaces with constant r-mean curvature in Euclidean space . . . . . . . . 2207


Riccardo Camerlo, Dendrites as Polish structures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2217


Venkat Anantharam and Takis Konstantopoulos, Integral representation ofSkorokhod reflection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2227

G. TOPOLOGY

Ku Yong Ha, Jong Bum Lee, and Pieter Penninckx, Anosov theorem forcoincidences on special solvmanifolds of type (R) . . . . . . . . . . . . . . . . . . . . . . . . . . . 2239










































Marco Mucha, Polar actions on certain principal bundles over symmetric spaces ofcompact type . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2249

Yevhen Zelenyuk, Almost maximal topologies on semigroups . . . . . . . . . . . . . . . . . . 2257

Joshua M. Lansky and C. Ryan Vinroot, Klyachko models of p-adic speciallinear groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2271

Vol. 139, No. 7 Whole No. 625 July 2011


Martin Kassabov and Francesco Matucci, Bounding the residual finiteness offree groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2281

Ben Chad and Chris Good, Homeomorphisms of two-point sets . . . . . . . . . . . . . . 2287

Danny Calegari and Joel Louwsma, Immersed surfaces in the modular orbifold 2295

Fiammetta Battaglia, Betti numbers of the geometric spaces associated tononrational simple convex polytopes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2309

Rabeya Basu, Pratyusha Chattopadhyay, and Ravi A. Rao, Some remarkson symplectic injective stability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2317

Wenbin Guo and Alexander N. Skiba, New criterions of existence andconjugacy of Hall subgroups of finite groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2327

Francesco Pappalardi, On the exponent of the group of points of an elliptic curveover a finite field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2337

Rebecca L. Jayne and Kailash C. Misra, On Demazure crystals for Uq(G(1)2 ) 2343

Matteo Varbaro, Symbolic powers and matroids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2357

Xiangqian Guo and Kaiming Zhao, Irreducible weight modules over Wittalgebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2367

Robert Osburn and Brundaban Sahu, Congruences via modular forms . . . . . . 2375

Hara Charalambous, Topological constructions for multigraded squarefreemodules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2383

Shiro Goto, Jooyoun Hong, and Mousumi Mandal, The positivity of the firstcoefficients of normal Hilbert polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2399

Elzbieta Sowa, Picard-Vessiot extensions for real fields . . . . . . . . . . . . . . . . . . . . . . . . . 2407

Edgar E. Enochs and Zhaoyong Huang, Canonical filtrations of Gorensteininjective modules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2415

Jean-Luc Chabert and Youssef Fares, Preservation of the residual classesnumbers by polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2423

Lev A. Borisov and Renling Jin, Finding integral diagonal pairs in a twodimensional N–set . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2431

Kristen Stagg and Ernest Stitzinger, Minimal non-elementary Lie algebras . . 2435

B. ANALYSIS

Elisha Falbel, Gabor Francsics, Peter D. Lax, and John R. Parker,Generators of a Picard modular group in two complex dimensions . . . . . . . . . . 2439

Giuseppe Della Sala, Local equivalence problem for Levi flat hypersurfaces . . . . 2449

David Kalaj, Estimates of gradient and of Jacobian of harmonic mappings definedin the unit disk . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2463

Philip T. Gressman, On multilinear determinant functionals . . . . . . . . . . . . . . . . . . 2473

Alvaro Arias and Frederic Latremoliere, Ergodic actions of convergentFuchsian groups on quotients of the noncommutative Hardy algebras . . . . . . . 2485










































Quanlei Fang and Jingbo Xia, Multipliers and essential norm on the Drury-Arveson space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2497

C. Aistleitner, I. Berkes, and R. Tichy, On the asymptotic behavior of weaklylacunary series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2505

Dmitriy Drusvyatskiy and Adrian S. Lewis, Generic nondegeneracy in convexoptimization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2519

G. Racher, On injective von Neumann algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2529

G. A. Karagulyan, On the sweeping out property for convolution operators ofdiscrete measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2543

Jacob Steel, Concave unimodal maps have no majorisation relations between theirergodic measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2553

D. GEOMETRY

Fernando Galaz-Garcia and Catherine Searle, Low-dimensional manifoldswith non-negative curvature and maximal symmetry rank . . . . . . . . . . . . . . . . . . 2559

David Alonso-Gutierrez, A remark on the isotropy constant of polytopes . . . . . 2565

Martin Deraux and Harish Seshadri, Almost quarter-pinched Kahler metricsand Chern numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2571

G. Brock Williams, Circle packing coordinates for the moduli space of tori . . . . 2577


Thomas Simon, Multiplicative strong unimodality for positive stable laws . . . . . . 2587

G. TOPOLOGY

Scott O. Wilson, Differential forms, fluids, and finite models . . . . . . . . . . . . . . . . . . . 2597

Chuichiro Hayashi and Miwa Hayashi, Minimal sequences of Reidemeistermoves on diagrams of torus knots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2605

Fernando Alcalde Cuesta, Alvaro Lozano Rojo, and Marta MachoStadler, Transversely Cantor laminations as inverse limits . . . . . . . . . . . . . . . . . 2615

Oliver T. Dasbach and Adam M. Lowrance, Turaev genus, knot signature, andthe knot homology concordance invariants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2631

Tetsuya Abe, The Rasmussen invariant of a homogeneous knot . . . . . . . . . . . . . . . . . 2647

Vol. 139, No. 8 Whole No. 626 August 2011


Deke Zhao, Skew categories, smash product categories and quasi-Koszul categories 2657

Elena Alemany, Antonio Beltran, and Marıa Jose Felipe, Nilpotency ofnormal subgroups having two G-class sizes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2663

Joseph P. Brennan and Neil Epstein, Noether normalizations, reductions ofideals, and matroids . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2671

Louiza Fouli and Craig Huneke, What is a system of parameters? . . . . . . . . . . . 2681

Yu Tsumura, Primality tests for 2p ± 2(p+1)/2 + 1 using elliptic curves . . . . . . . . . . 2697

Guyan Robertson, Invariant distributions on projective spaces over local fields . 2705


































B. ANALYSIS

Heping Liu and Yingzhan Wang, A restriction theorem for the H-type groups 2713

Derek Gustafson, A generalized Poincare inequality for a class of constantcoefficient differential operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2721

Fan Jinhua, On extremal quasiconformal mappings of non-landslide type . . . . . . . 2729

Victor Kaftal, P. W. Ng, and Shuang Zhang, Positive combinations andsums of projections in purely infinite simple C∗-algebras and their multiplieralgebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2735

Dawei Yang, Stably weakly shadowing transitive sets and dominated splittings . 2747

Javier Carrillo-Alanıs, On local Khintchine inequalities for spaces of exponentialintegrability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2753

A. Alexandrou Himonas and Gerson Petronilho, Real-valued non-analyticsolutions for the generalized Korteweg-de Vries equation . . . . . . . . . . . . . . . . . . . 2759

Eugen Mihailescu and Mariusz Urbanski, Hausdorff dimension of the limit setof conformal iterated function systems with overlaps . . . . . . . . . . . . . . . . . . . . . . . 2767

Simon Lucking, Subspaces of almost Daugavet spaces . . . . . . . . . . . . . . . . . . . . . . . . . . 2777

Christopher Mouron, Positive entropy homeomorphisms of chainable continuaand indecomposable subcontinua . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2783

Y. Gordon, M. Junge, M. Meyer, and S. Reisner, The GL-l.u.st. constant andasymmetry of the Kalton-Peck twisted sum in finite dimensions . . . . . . . . . . . . 2793

P. J. Rippon and G. M. Stallard, Boundaries of escaping Fatou components . 2807

Yun-guang Lu, Resonance for the isothermal system of isentropic gas dynamics 2821

Ting Zhang and Daoyuan Fang, Random data Cauchy theory for the incom-pressible three dimensional Navier–Stokes equations . . . . . . . . . . . . . . . . . . . . . . . . 2827

C. Chen and C-H. Chu, Hypercyclic weighted translations on groups . . . . . . . . . 2839

Can Minh Le, On subspace-hypercyclic operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2847

Limei Dai, Existence of solutions with asymptotic behavior of exterior problems ofHessian equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2853

Dong-Huang Wei, On the asymptotic formula for the solution of degenerateelliptic partial differential equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2863

Michael Didas and Jorg Eschmeier, Inner functions and spherical isometries 2877

Dongyang Chen and Bentuo Zheng, Remarks on Lipschitz p-summingoperators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2891

Adrian Infante, A remark on the maximal operator for radial measures . . . . . . . . 2899

D. GEOMETRY

Seong-Hun Paeng, Buser’s isoperimetric inequalities with integral norms of Riccicurvature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2903

Bin Guo and Haizhong Li, The second variational formula for the functional∫v(6)(g)dVg . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2911

Oliver Ebner and Stefan Haller, Harmonic cohomology of symplectic fiberbundles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2927

Andrew A. Cooper, A characterization of the singular time of the mean curvatureflow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2933

Hans-Joachim Hein, Weighted Sobolev inequalities under lower Ricci curvaturebounds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2943


Tuna Altınel and John S. Wilson, Linear representations of soluble groups offinite Morley rank . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2957















































Luigi Accardi and Andreas Boukas, The Schrodinger Fock kernel and theno-go theorem for the first order and Renormalized Square of White NoiseLie algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2973

G. TOPOLOGY

Alejandro Illanes, A circle is not the generalized inverse limit of a subset of [0, 1]2 2987

D. Dikranjan and Gabor Lukacs, On zero-dimensionality and the connectedcomponent of locally pseudocompact groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2995

Hiroaki Ishida, Symplectic real Bott manifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3009

Libing Huang and Xiaohuan Mo, On geodesics of Finsler metrics via navigationproblem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3015

Vol. 139, No. 9 Whole No. 627 September 2011


Kimball Martin, Nonunique factorization and principalization in number fields . 3025

Mats Boij, Enrico Carlini, and Anthony V. Geramita, Monomials as sums ofpowers: The real binary case . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3039

Matthew Stover, Volumes of Picard modular surfaces . . . . . . . . . . . . . . . . . . . . . . . . . . 3045

Kohji Yanagawa, Higher Cohen-Macaulay property of squarefree modules andsimplicial posets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3057

Shreeram S. Abhyankar, Pillars and towers of quadratic transformations . . . . . . 3067

Shreeram S. Abhyankar, More about dicriticals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3083

Andrei S. Rapinchuk and Igor A. Rapinchuk, Centrality of the congru-ence kernel for elementary subgroups of Chevalley groups of rank > 1 overnoetherian rings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3099

Shinya Harada, Hasse-Weil zeta function of absolutely irreducible SL2-representations of the figure 8 knot group . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3115

Luis E. Lopez, The incidence correspondence and its associated maps in homotopy 3127

Hendrik Baker, Good quotients of Mori dream spaces . . . . . . . . . . . . . . . . . . . . . . . . . . 3135

Wenhua Zhao, New proofs for the Abhyankar-Gurjar inversion formula and theequivalence of the Jacobian conjecture and the vanishing conjecture . . . . . . . . 3141

Pedro Macias Marques and Rosa Marıa Miro-Roig, Stability of syzygybundles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3155

Yong Yang, Large character degrees of solvable 3′-groups . . . . . . . . . . . . . . . . . . . . . . . 3171

Marıa-Cruz Fernandez-Fernandez and Uli Walther, Restriction of hyper-geometric D-modules with respect to coordinate subspaces . . . . . . . . . . . . . . . . . 3175

Chia-Fu Yu, Geometry of the Siegel modular threefold with paramodular levelstructure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3181

Akihide Hanaki, Faithful representations of association schemes . . . . . . . . . . . . . . . 3191

Ahmet Muhtar Guloglu, Sums with convolutions of Dirichlet characters to cube-free modulus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3195

Manfred Droste and Rudiger Gobel, Countable random p-groups with pre-scribed Ulm-invariants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3203

Wen-yuan Yang, Separable subgroups have bounded packing . . . . . . . . . . . . . . . . . . 3217








































B. ANALYSIS

R. Korhonen and O. Ronkainen, Order reduction method for linear differenceequations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3219

T. Sheil-Small, Area extremal problems for non-vanishing functions . . . . . . . . . . . . 3231

Marcin Bownik, John Jasper, and Darrin Speegle, Orthonormal dilations ofnon-tight frames . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3247

Y. S. Choi and Craig Miller, Global existence of solutions to a coupled parabolic-hyperbolic system with moving boundary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3257

Nick Wright, Simultaneous metrizability of coarse spaces . . . . . . . . . . . . . . . . . . . . . . . 3271

Philippe Jaming and Alexander M. Powell, Time-frequency concentration ofgenerating systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3279

Dorin Ervin Dutkay and Palle E. T. Jorgensen, Affine fractals as boundariesand their harmonic analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3291


Bjørn Kjos-Hanssen and Tamas Szabados, Kolmogorov complexity and strongapproximation of Brownian motion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3307

D. GEOMETRY

Wensheng Cao and Krishnendu Gongopadhyay, Commuting isometries of thecomplex hyperbolic space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3317

Stuart J. Hall and Thomas Murphy, On the linear stability of Kahler-Riccisolitons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3327


James Cummings and Menachem Magidor, Martin’s maximum and weaksquare . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3339

Vincent Guingona, Dependence and isolated extensions . . . . . . . . . . . . . . . . . . . . . . . 3349


Tonci Antunovic, Yuval Peres, and Brigitta Vermesi, Brownian motion withvariable drift can be space filling . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3359

Jean B. Lasserre, Bounding the support of a measure from its marginal moments 3375

G. TOPOLOGY

John Oprea and Jeff Strom, Mixing categories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3383

Vol. 139, No. 10 Whole No. 628 October 2011


L. V. Rammea and G. K. Sankaran, Boundedness for surfaces in weightedprojective 4-spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3393

Xavier Roulleau, The Fano surface of the Fermat cubic threefold, the del Pezzosurface of degree 5 and a ball quotient . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3405

Filip Cools and Marc Coppens, Singular hypersurfaces possessing infinitelymany star points . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3413

Vassil S. Dimitrov and Everett W. Howe, Lower bounds on the lengths ofdouble-base representations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3423


































Keith Johnson, Super-additive sequences and algebras of polynomials . . . . . . . . . . 3431

Yoav Segev, Almost regular involutory automorphisms of uniquely 2-divisiblegroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3445

Ben Cox and Vyacheslav Futorny, DJKM algebras I: Their universal centralextension . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3451

B. ANALYSIS

Igor E. Pritsker, Distribution of point charges with small discrete energy . . . . . . 3461

Jitsuro Sugie, Yasuhisa Saito, and Meng Fan, Global asymptotic stability forpredator-prey systems whose prey receives time-variation of the environment 3475

Xiangsheng Xu, Logarithmic up bounds for solutions of elliptic partial differentialequations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3485

Meng Wang, Liouville theorems for the ancient solution of heat flows . . . . . . . . . . . 3491

Eleonora Pinto de Moura, James C. Robinson, and J. J. Sanchez-Gabites,Embedding of global attractors and their dynamics . . . . . . . . . . . . . . . . . . . . . . . . 3497

Aleksandar Ignjatovic and Ahmed I. Zayed, Multidimensional chromaticderivatives and series expansions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3513

D. Motreanu and N. S. Papageorgiou, Multiple solutions for nonlinearNeumann problems driven by a nonhomogeneous differential operator . . . . . . 3527

H. J. Hupkes, D. Pelinovsky, and B. Sandstede, Propagation failure in thediscrete Nagumo equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3537

R. M. Aron, B. Cascales, and O. Kozhushkina, The Bishop-Phelps-Bollobastheorem and Asplund operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3553

Karl-Heinz Forster and Kerstin Gunther, Stability of semi-Fredholm prop-erties in complex interpolation spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3561

Stefan Borell, The ball embedding property of the open unit disc . . . . . . . . . . . . . . 3573

Xiangjin Xu, Eigenfunction estimates for Neumann Laplacian and applications tomultiplier problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3583

Janusz Matkowski, Power means generated by some mean-value theorems . . . . . 3601

Guangying Lv and Mingxin Wang, Stability of planar waves in mono-stablereaction-diffusion equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3611

Nicolas Juillet, On displacement interpolation of measures involved in Brenier’stheorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3623

Bassam Shayya, The WAT conjecture on the torus . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3633

M. Filali and M. Sangani Monfared, Finite-dimensional left ideals in the dualsof introverted spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3645

Dorin Ervin Dutkay and Sergei Silvestrov, Reducibility of the wavelet repre-sentation associated to the Cantor set . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3657


Eran Shmaya, The determinacy of infinite games with eventual perfect monitoring 3665

D. GEOMETRY

Lin Feng Wang, Rigid properties of quasi-Einstein metrics . . . . . . . . . . . . . . . . . . . . . 3679

Hiroyoshi Mitake, On convergence rates for solutions of approximate meancurvature equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3691

Zejun Hu, Cece Li, and Dong Zhang, A differential geometric characterizationof the Cayley hypersurface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3697

Yi Li, Harnack inequality for the negative power Gaussian curvature flow . . . . . . . 3707

Daniel A. Klain, On the equality conditions of the Brunn-Minkowski theorem . . 3719

Takayuki Hibi, Akihiro Higashitani, and Hidefumi Ohsugi, Roots of Ehrhartpolynomials of Gorenstein Fano polytopes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3727















































Dang-Zheng Liu, Chunwei Song, and Zheng-Dong Wang, On explicitprobability densities associated with Fuss-Catalan numbers . . . . . . . . . . . . . . . . 3735

Jorge M. Ramirez, Multi-skewed Brownian motion and diffusion in layered media 3739

B. Yang and H. Xiao, Law of large numbers under the nonlinear expectation . . 3753

G. TOPOLOGY

Yves Felix, Mapping spaces between manifolds and the evaluation map . . . . . . . . . 3763

Vol. 139, No. 11 Whole No. 629 November 2011


W. E. Longstaff and Peter Rosenthal, On the lengths of irreducible pairs ofcomplex matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3769

Bruce C. Berndt and Byungchan Kim, Asymptotic expansions of certain par-tial theta functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3779

Zachary A. Kent, Periods of Eisenstein series and some applications . . . . . . . . . . . 3789

Man Kam Kwong and Anton Zettl, New proofs and extensions of Sylvester’sand Johnson’s inertia theorems to non-Hermitian matrices . . . . . . . . . . . . . . . . . 3795

Takayuki Hibi, Akihiro Higashitani, Kyouko Kimura, and Augustine B.O’Keefe, Depth of edge rings arising from finite graphs . . . . . . . . . . . . . . . . . . . 3807

Alina Ostafe and Igor E. Shparlinski, On the Waring problem with Dicksonpolynomials in finite fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3815

Indranil Biswas, A. J. Parameswaran, and S. Subramanian, Essentiallyfinite vector bundles on varieties with trivial tangent bundle . . . . . . . . . . . . . . . 3821

Jan O. Kleppe and Rosa M. Miro-Roig, Families of determinantal schemes . 3831

Ann Lemahieu and Lise Van Proeyen, The holomorphy conjecture for ideals indimension two . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3845

Saeid Hamzeh Zarghani, Hecke operators for non-congruence subgroups ofBianchi groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3853

Nicolas Addington, Spinor sheaves on singular quadrics . . . . . . . . . . . . . . . . . . . . . . . 3867

Dengyin Wang and Zhengxin Chen, Invertible linear maps on simple Liealgebras preserving commutativity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3881

Karl Schwede, A note on discreteness of F -jumping numbers . . . . . . . . . . . . . . . . . . . 3895

Ian M. Aberbach and Aline Hosry, The Briancon-Skoda theorem and coefficientideals for non-m-primary ideals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3903

Leandro Cagliero and Fernando Szechtman, Jordan-Chevalley decompositionin finite dimensional Lie algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3909

B. ANALYSIS

Frank Kutzschebauch and Andreas Lind, Holomorphic automorphisms ofDanielewski surfaces I — density of the group of overshears . . . . . . . . . . . . . . . . 3915

Francisco Marcellan and Fernando R. Rafaeli, Monotonicity and asymptoticsof zeros of Laguerre-Sobolev-type orthogonal polynomials of higher orderderivatives . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3929

P. L. Dattori da Silva and A. Meziani, Properties of solutions of a class of planarelliptic operators with degeneracies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3937






































Ling Hei Yeung and Manwai Yuen, Analytical solutions to the Navier-Stokes-Poisson equations with density-dependent viscosity and with pressure . . . . . . 3951

Teodor Banica, Julien Bichon, and Stephen Curran, Quantum automor-phisms of twisted group algebras and free hypergeometric laws . . . . . . . . . . . . . 3961

Guanwei Chen and Shiwang Ma, Homoclinic orbits of superlinear Hamiltoniansystems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3973

Jung-Chao Ban and Chih-Hung Chang, Factor map, diamond and density ofpressure functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3985

You Qing Ji and Yuan Hang Zhang, A note on the topological stable rank ofan ideal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3999

Craig A. Sloane, A fractional Hardy-Sobolev-Maz’ya inequality on the upperhalfspace . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4003

Leonid Berezansky and Elena Braverman, On some constants for oscillationand stability of delay equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4017

Krishna B. Athreya and Justin R. Peters, Continuity of translation operators 4027

Dimitrios Betsakos, Multi-point variations of the Schwarz lemma with diameterand width conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4041

Sanghyun Cho, Sobolev estimates for the local extension of ∂b-closed (0, 1)-formson real hypersurfaces in Cn with two positive eigenvalues . . . . . . . . . . . . . . . . . . 4053

Greg Knese, Schur-Agler class rational inner functions on the tridisk . . . . . . . . . . . 4063

Michael Kupper and Gregor Svindland, Dual representation of monotoneconvex functions on L0 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4073


Shin-ya Matsushita and Li Xu, On convergence of the proximal point algorithmin Banach spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4087

D. GEOMETRY

Jia-Yong Wu and Yu Zheng, Relating diameter and mean curvature forRiemannian submanifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4097

Itai Benjamini and Panos Papasoglu, Growth and isoperimetric profile ofplanar graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4105

Benjamin Schmidt and Craig J. Sutton, Two remarks on the length spectrumof a Riemannian manifold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4113

Marius Munteanu and Kristopher Tapp, On totally geodesic foliations anddoubly ruled surfaces in a compact Lie group . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4121


Howard Becker, Representing pointsets as unions of Borel sets . . . . . . . . . . . . . . . . . 4137

G. TOPOLOGY

Youngsik Huh, Sungjong No, and Seungsang Oh, Stick numbers of 2-bridgeknots and links . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4143



















































Gilbert Strang, Groups of banded matrices with banded inverses . . . . . . . . . . . . . . . 4255




Nguyen Ngoc Dong Quan, On the Hasse principle for certain quartic hyper-surfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4293

B. ANALYSIS



C. Benhida and E. H. Zerouali, Spectral properties of commuting operations forn-tuples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4331



























































D. GEOMETRY










G. TOPOLOGY
















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Information for Authors

Initial submission. The AMS uses Centralized Manuscript Processing for initial sub-mission. Authors should submit a PDF file using the Initial Manuscript Submissionform found at www.ams.org/submission/proc, or send one copy of the manuscript to thefollowing address: Centralized Manuscript Processing, PROCEEDINGS OF THE AMS,201 Charles Street, Providence, RI 02904-2294 USA. If a paper copy is being forwardedto the AMS, indicate that it is for Proceedings and include the name of the correspondingauthor, contact information such as email address or mailing address, and the name of anappropriate Editor to review the paper (see the list of Editors below).

The first page of an article must consist of a descriptive title, followed by an abstractthat summarizes the article in language suitable for workers in the general field (algebra,analysis, etc.). The descriptive title should be short, but informative; useless or vaguephrases such as “some remarks about” or “concerning” should be avoided. The abstractshould be at least one complete sentence, and at most 150 words. Included with thefootnotes to the paper should be the 2010 Mathematics Subject Classification represent-ing the primary and secondary subjects of the article. The classifications are accessiblefrom www.ams.org/msc/. The Mathematics Subject Classification footnote may be fol-lowed by a list of key words and phrases describing the subject matter of the articleand taken from it. Journal abbreviations used in bibliographies are listed in the latestMathematical Reviews annual index. The series abbreviations are also accessible fromwww.ams.org/msnhtml/serials.pdf. To help in preparing and verifying references, theAMS offers MR Lookup, a Reference Tool for Linking, at www.ams.org/mrlookup/.

Electronically prepared manuscripts. The AMS encourages electronically pre-pared manuscripts, with a strong preference for AMS-LATEX. To this end, the Societyhas prepared AMS-LATEX author packages for each AMS publication. Author packagesinclude instructions for preparing electronic manuscripts, samples, and a style file thatgenerates the particular design specifications of that publication series. Articles properlyprepared using the AMS-LATEX style file and the \label and \ref commands automaticallyenable extensive intra-document linking to the bibliography and other elements of thearticle for searching electronically on the Web. Because linking must often be added man-ually to electronically prepared manuscripts in other forms of TEX, using AMS-LATEX alsoreduces the amount of technical intervention once the files are received by the AMS. Thisresults in fewer errors in processing and saves the author proofreading time. AMS-LATEXpapers also move more efficiently through the production stream, helping to minimizepublishing costs.

AMS-LATEX is the highly preferred format of TEX, but author packages are also availablein AMS-TEX. Those authors who make use of these style files from the beginning of thewriting process will further reduce their own efforts. Manuscripts prepared electronicallyin LATEX or plain TEX are normally not acceptable due to the high amount of technical timerequired to insure that the file will run properly through the AMS in-house productionsystem. LATEX users will find that AMS-LATEX is the same as LATEX with additionalcommands to simplify the typesetting of mathematics, and users of plain TEX should havethe foundation for learning AMS-LATEX.

Authors may retrieve an author package for Proceedings of the AMS from www.ams.org/

proc/procauthorpac.html or via FTP to ftp.ams.org (login as anonymous, enter yourcomplete email address as password, and type cd pub/author-info). The AMS AuthorHandbook and the Instruction Manual are available in PDF format from the author pack-age link. The author package can also be obtained free of charge by sending email [email protected] or from the Publication Division, American Mathematical Soci-ety, 201 Charles Street, Providence, RI 02904-2294 USA. When requesting an authorpackage, please specify AMS-LATEX or AMS-TEX and the publication in which your paperwill appear. Please be sure to include your complete email address.

After acceptance. The source files for the final version of the electronic manuscriptshould be sent to the Providence office immediately after the paper has been accepted forpublication. The author should also submit a PDF of the final version of the paper to theEditor, who will forward a copy to the Providence office. Accepted electronically preparedmanuscripts can be submitted via the Web at www.ams.org/submit-book-journal/, sentvia email to [email protected], or sent on CD to the Electronic Prepress Department,American Mathematical Society, 201 Charles Street, Providence, RI 02904-2294 USA.When sending a manuscript electronically via email or CD, please be sure to include amessage indicating in which publication the paper has been accepted. No correctionswill be accepted electronically. Authors must mark their changes on their proof copiesand return them to the Providence office. Complete instructions on how to send files areincluded in the author package.

Electronic graphics. Comprehensive instructions on preparing graphics are availablestarting from www.ams.org/authors/journals.html. A few of the major requirementsare given here.

Submit files for graphics as EPS (Encapsulated PostScript) files. This includes graphicsoriginated via a graphics application as well as scanned photographs or other computer-generated images. If this is not possible, TIFF files are acceptable as long as they can beopened in Adobe Photoshop or Illustrator.

Authors using graphics packages for the creation of electronic art should also avoid theuse of any lines thinner than 0.5 points in width. Many graphics packages allow the userto specify a “hairline” for a very thin line. Hairlines often look acceptable when proofedon a typical laser printer. However, when produced on a high-resolution laser imagesetter,hairlines become nearly invisible and will be lost entirely in the final printing process.

Screens should be set to values between 15% and 85%. Screens which fall outside of thisrange are too light or too dark to print correctly. Variations of screens within a graphicshould be no less than 10%.

AMS policy on making changes to articles after posting. Articles are posted tothe AMS website individually after proof is returned from authors and before appearingin an issue. To preserve the integrity of electronically published articles, once an article isindividually posted to the AMS website but not yet in an issue, changes cannot be madein place in the paper. However, an “Added after posting” section may be added to thepaper right before the References when there is a critical error in the content of the paper.The “Added after posting” section gives the author an opportunity to correct this typeof critical error before the article is put into an issue for printing and before it is thenreposted with the issue. The “Added after posting” section remains a permanent part of

the paper. The AMS does not keep author-related information, such as affiliation, currentaddress, and email address, up to date after a paper is initially posted.

Once the article is assigned to an issue, even if the issue has not yet been posted to theAMS website, corrections may be made to the paper by submitting a traditional errataarticle. The errata article will appear in a future print issue and will link back and forthon the Web to the original article online.

Secure manuscript tracking on the Web. Authors can track their manuscriptsthrough the AMS journal production process using the personal AMS ID and Arti-cle ID printed in the upper right-hand corner of the Consent to Publish form sent toeach author who publishes in AMS journals. Access to the tracking system is availablefrom www.ams.org/mstrack/. An explanation of each production step is provided onthe Web through links from the manuscript tracking screen. Questions can be sent [email protected].

Inquiries. Any inquiries concerning a paper that has been accepted for publicationthat cannot be answered via the manuscript tracking system mentioned above should besent to [email protected] or directly to the Electronic Prepress Department, AmericanMathematical Society, 201 Charles Street, Providence, RI 02904-2294 USA.

Editors

The AMS uses Centralized Manuscript Processing for initial submissions to AMS jour-nals. Authors should follow instructions listed on the Initial Submission page found atwww.ams.org/proc/procsubmit.html.

Managing Editor: Ken Ono, Emory University, Atlanta, GA 30322 USA; and Universityof Wisconsin, Madison, WI 53706 USA; e-mail: [email protected]

1. ODE, PDE, GLOBAL ANALYSIS, AND DYNAMICAL SYSTEMSCoordinating Editor: Chuu-Lian Terng, University of California, Irvine, CA 92697-3875USA; e-mail: [email protected]

Ergodic theory and dynamical systems, Bryna Kra, Northwestern University,Evanston, IL 60208-2730 USA; e-mail: [email protected]

Global analysis, noncommutative geometry, and the mathematics of stringtheory, Varghese Mathai, School of Mathematical Sciences, The University of Adelaide,SA 5005, Australia; e-mail: [email protected]

Ordinary differential equations and dynamical systems, Yingfei Yi, Schoolof Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0001 USA;e-mail: [email protected]

Partial differential equations, James E. Colliander, University of Toronto,40 St. George Street, Toronto, ON, Canada M5S 2E4; e-mail: james.colliander@

utoronto.ca

2. TOPOLOGY AND GEOMETRYCoordinating Editor: Daniel Ruberman, Brandeis University, Waltham, MA 02254-9110 USA; e-mail: [email protected]

Algebraic topology, Brooke Shipley, University of Illinois at Chicago, 851 S. MorganStreet, Chicago, IL 60607-7045 USA; e-mail: [email protected]

Differential geometry, Lei Ni, University of California, San Diego, La Jolla, CA92093 USA; e-mail: [email protected]; [email protected]

Geometric analysis, Michael Wolf, Rice University, Mailstop 136, Houston, TX77005-1892 USA; e-mail: [email protected]

Geometric topology, Alexander N. Dranishnikov, University of Florida, 358 LittleHall, Gainesville, FL 32611-8105 USA; e-mail: [email protected]

Low dimensional topology, gauge theory, 4-manifolds, Daniel Ruberman

3. ANALYSISCoordinating Editor: Mei-Chi Shaw, University of Notre Dame, Notre Dame, IN 46556-0398 USA; e-mail: [email protected]

Banach spaces and linear functional analysis, Thomas Schlumprecht, Texas A&MUniversity, 3368 TAMU, College Station, TX 77843-3368 USA; e-mail: [email protected]

Microlocal analysis and spectral theory, Michael Hitrik, University of California,Los Angeles, Los Angeles, CA 90095-1555 USA; e-mail: [email protected]

Operator theory and spaces of holomorphic functions, Richard Rochberg,Washington University in St. Louis, One Brookings Drive, St. Louis, MO 63130 USA;e-mail: [email protected]

Geometric function theory, Mario Bonk, University of California, Los Angeles,Los Angeles, CA 90095-1555 USA; e-mail: [email protected]

Geometric measure theory and its applications, Tatiana Toro, Universityof Washington, Box 354350, Seattle, WA 98195-4350 USA; e-mail: toro@math.

washington.edu

Harmonic analysis, Michael T. Lacey, School of Mathematics, Georgia Institute ofTechnology, 686 Cherry Street NW, Atlanta, GA 30332-4301 USA; e-mail: [email protected]

Operator algebras, Marius Junge, University of Illinois at Urbana-Champaign, 1409W. Green Street, Urbana, IL 61801-2975 USA; e-mail: [email protected]

Several complex variables, Franc Forstneric, University of Ljubljana, Jadranska 19,1000 Ljubljana, Slovenia; e-mail: [email protected]

4. ALGEBRA, NUMBER THEORY, COMBINATORICS, AND LOGICCoordinating Editor: Birge Huisgen-Zimmermann, University of California, SantaBarbara, Santa Barbara, CA 93106-3080 USA; e-mail: [email protected]

Algebraic and arithmetic geometry, Lev Borisov, Rutgers University, Piscataway,NJ 08854 USA; e-mail: [email protected]

Automorphic and modular forms, Kathrin Bringmann, Mathematisches Institutder Universitat zu Koeln, Weyertal 86-90, D-50931 Koeln, Germany; e-mail: [email protected]

Combinatorics, Jim Haglund, University of Pennsylvania, 209 S. 33rd Street,Philadelphia, PA 19104-6395 USA; e-mail: [email protected]

Commutative algebra, Irena Peeva, Cornell University, Ithaca, NY 14853 USA;e-mail: [email protected]

Group theory, Pham Huu Tiep, University of Arizona, 617 N. Santa Rita Avenue,Tucson, AZ 85721-0089 USA; e-mail: [email protected]

Lie algebras and quantized enveloping algebras, Kailash C. Misra, North Caro-lina State University, Raleigh, NC 27695-8205 USA; e-mail: [email protected]

Logic and foundations, Julia Knight, University of Notre Dame, 255 Hurley, NotreDame, IN 46556-4618 USA; e-mail: [email protected]

Noncommutative algebra and invariant theory, Harm Derksen, University ofMichigan, 530 Church Street, Ann Arbor, MI 48109-1043 USA; e-mail: hderksen@

umich.edu

Number theory, Matthew A. Papanikolas, Texas A&M University, 3368 TAMU,College Station, TX 77843-3368 USA; e-mail: [email protected]

5. APPLIED MATHEMATICS, PROBABILITY, AND STATISTICSCoordinating Editor: Walter Craig, McMaster University, Hamilton, Ontario, L8S 4K1Canada; e-mail: [email protected]

Applied probability and statistics, Edward C. Waymire, Oregon State University,Corvallis, OR 97331-4605 USA; e-mail: [email protected]

Integrable systems and special functions, Sergei K. Suslov, School of Mathemat-ical and Statistical Sciences, Arizona State University, Tempe, AZ 85287-1807 USA;e-mail: [email protected]

Partial differential equations and dynamical systems, Walter Craig

Probability, Mark M. Meerschaert, Department of Probability and Statistics, Michi-gan State University, East Lansing, MI 48823 USA; e-mail: [email protected]

Special functions and approximation theory, Walter Van Assche, KatholiekeUniversiteit Leuven, Celestijnenlaan 200B, Box 2400, BE-3001 Leuven, Belgium;e-mail: [email protected]

(Continued from back cover)










D. GEOMETRY










G. TOPOLOGY






























CONTENTS














Gilbert Strang, Groups of banded matrices with banded inverses . . . . . . . . . . . . . . 4255




Nguyen Ngoc Dong Quan, On the Hasse principle for certain quartic hyper-surfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4293

B. ANALYSIS



C. Benhida and E. H. Zerouali, Spectral properties of commuting operationsfor n-tuples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4331



(Continued on inside back cover)

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