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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

PROVIDENCE, RHODE ISLAND USA

ISSN 0894-0347

VOLUME 22 NUMBER 4 OCTOBER 2009

Available electronically at www.ams.org/jams/

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Journals of the AMS (JAMS)

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JOURNAL OF THE

EDITORSWeinan E Sergey Fomin Gregory LawlerJohn W. MorganKarl Rubin Terence Tao

ASSOCIATE EDITORSNoga Alon Francis BonahonAlexei BorodinRobert L. BryantEmmanuel CandesPavel I. Etingof Mark GoreskyChristopher HaconAlexander S. KechrisPeter KronheimerElon LindenstraussJacob LurieHaynes R. MillerAssaf NaorAndrew M. OdlyzkoBjorn Poonen Sorin T. PopaVictor S. ReinerFreydoon ShahidiRichard L. TaylorAvi WigdersonLai-Sang Young

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY

CONTENTS

Vol. 22, No. 4 October 2009

E. Mukhin, V. Tarasov, and A. Varchenko, Schubert calculus and repre-sentations of the general linear group . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 909

Danny Calegari, Stable commutator length is rational in free groups . . . . 941Manjul Bhargava, On P -orderings, rings of integer-valued polynomials, and

ultrametric analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 963Julien Dubedat, SLE and the free field: Partition functions and couplings 995Davesh Maulik and Alexei Oblomkov, Quantum cohomology of the

Hilbert scheme of points on An-resolutions . . . . . . . . . . . . . . . . . . . . . . . . . . . 1055Zeev Dvir, On the size of Kakeya sets in finite fields . . . . . . . . . . . . . . . . . . . . . 1093Laszlo Erdos, Benjamin Schlein, and Horng-Tzer Yau, Rigorous

derivation of the Gross-Pitaevskii equation with a large interactionpotential . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1099

David Gabai, Robert Meyerhoff, and Peter Milley, Minimum volumecusped hyperbolic three-manifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1157

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MATHEMATICS

OF

COMPUTATION

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

PROVIDENCE, RHODE ISLAND USA

ISSN 0025-5718

VOLUME 78 NUMBER 268 OCTOBER 2009

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Mathem

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Mathematics of Computations of the AMS (MCOM)

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EDITED BY David W. BoydSusanne C. BrennerDaniela CalvettiZhiming ChenRonald F. A. Cools Jean-Marc CouveignesRicardo G. DuranIvan P. GavrilyukVivette Girault Ernst HairerFred J. HickernellGregor Kemper Francis J. Narcowich Marian NeamtuStanley Osher Cheryl E. PraegerRenate ScheidlerChristoph SchwabJie ShenIgor E. ShparlinskiChi-Wang Shu, Managing EditorChris SmythMichael E. StillmanDaniel B. SzyldDenis TalayTao TangPaul Y. Tseng Hans Volkmer Jinchao Xu Zhimin Zhang

MATHEMATICS OF COMPUTATION

CONTENTS

Vol. 78, No. 268 October 2009

Jan Maes and Peter Oswald, Multilevel finite element preconditioning for√3 refinement . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1869

David Mora and Rodolfo Rodrıguez, A piecewise linear finite elementmethod for the buckling and the vibration problems of thin plates . . . 1891

Todd F. Dupont and Itir Mogultay, A symmetric error estimate forGalerkin approximations of time-dependent Navier-Stokes equations intwo dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1919

Ramiro Acevedo, Salim Meddahi, and Rodolfo Rodrıguez, An �-based mixed formulation for a time-dependent eddy current problem . 1929

M. Asadzadeh, A. H. Schatz, and W. Wendland, A new approach toRichardson extrapolation in the finite element method for second orderelliptic problems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1951

Kassem Mustapha and William McLean, Discontinuous Galerkinmethod for an evolution equation with a memory term of positive type 1975

Jiequan Li, Huazhong Tang, Gerald Warnecke, and Lumei Zhang,Local oscillations in finite difference solutions of hyperbolic conservationlaws . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1997

Istvan Gyongy and Nicolai Krylov, First derivatives estimates for finite-difference schemes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2019

Erwan Faou and Tony Lelievre, Conservative stochastic differentialequations: Mathematical and numerical analysis . . . . . . . . . . . . . . . . . . . . . 2047

G. N. Milstein and M. V. Tretyakov, Solving parabolic stochastic partialdifferential equations via averaging over characteristics . . . . . . . . . . . . . . . 2075

J. Cermak and J. Jansky, On the asymptotics of the trapezoidal rule forthe pantograph equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2107

Jian-Feng Cai, Stanley Osher, and Zuowei Shen, Convergence of thelinearized Bregman iteration for ℓ1-norm minimization . . . . . . . . . . . . . . . 2127

Ping Zhou, Annie Cuyt, and Jieqing Tan, General order multivariatePade approximants for pseudo-multivariate functions. II . . . . . . . . . . . . . 2137

Edward J. Fuselier, Francis J. Narcowich, Joseph D. Ward,and Grady B. Wright, Error and stability estimates for surface-divergence free RBF interpolants on the sphere . . . . . . . . . . . . . . . . . . . . . . 2157

J. Arias de Reyna and J. van de Lune, High precision computation ofa constant in the theory of trigonometric series . . . . . . . . . . . . . . . . . . . . . . 2187

Qiu-Ming Luo, Fourier expansions and integral representations for theApostol-Bernoulli and Apostol-Euler polynomials . . . . . . . . . . . . . . . . . . . . 2193

Jun-ichi Tamura and Shin-ichi Yasutomi, A new multidimensionalcontinued fraction algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2209

(Continued on inside back cover)

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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

PROVIDENCE, RHODE ISLAND USA

ISSN 0002-9939

VOLUME 137 NUMBER 12 DECEMBER 2009

EDITED BYMario Bonk Richard C. BradleyTed ChinburgPeter A. Clarkson Walter CraigAlexander N. DranishnikovRonald A. Fintushel, Managing EditorFranc ForstnericMatthew J. GurskyJim Haglund Jonathan I. HallBirge Huisgen-ZimmermannMarius JungeNigel J. KaltonJulia KnightBryna KraMichael T. Lacey

Gail R. LetzterWen-Ching Winnie Li Martin LorenzVarghese MathaiKen OnoDaniel RubermanMei-Chi ShawBrooke ShipleyHart F. SmithChuu-Lian TerngTatiana ToroBernd UlrichWalter Van AsscheEdward C. WaymireRichard A. Wentworth Jon G. WolfsonYingfei Yi

Available electronically at www.ams.org/proc/

Proceedings of the AMS (PROC)

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PROCEEDINGS OF THE

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CONTENTS

Vol. 137, No. 12 Whole No. 606 December 2009

A. ALGEBRA, NUMBER THEORY, AND COMBINATORICS

B. A. Sethuraman and Klemen Sivic, Jet schemes of the commuting matrixpairs scheme . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3953

Sebastian Burciu, Normal Hopf subalgebras of semisimple Hopf algebras . . . . . . 3969

Mathias Beiglbock, Arithmetic progressions in abundance by combinatorial tools 3981

Atsushi Noma, Multisecant subspaces to smooth projective varieties in arbitrarycharacteristic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3985

William Y. C. Chen and Cindy C. Y. Gu, The reverse ultra log-concavity ofthe Boros-Moll polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3991

Youngook Choi, On the syzygies of quasi-complete intersection space curves . . . 3999

Alberto Elduque, Jordan gradings on exceptional simple Lie algebras . . . . . . . . . . 4007

Cristian Virdol, On the Birch and Swinnerton-Dyer conjecture for elliptic curvesover totally real number fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4019

Stephane R. Louboutin, On the divisibility of the class number of imaginaryquadratic number fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4025

Claude Cibils, Aaron Lauve, and Sarah Witherspoon, Hopf quivers andNichols algebras in positive characteristic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4029

Tobias J. Osborne, Almost commuting unitaries with spectral gap are nearcommuting unitaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4043

Vorrapan Chandee, Explicit upper bounds for L-functions on the critical line . 4049

Daniel J. Katz, Point count divisibility for algebraic sets over Z/p�Z and otherfinite principal rings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4065

D. Arcara and F. Sato, Recursive formula for ψg − λ1ψg−1 + · · · + (−1)gλg in

Mg,1 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4077

Fernando Sancho de Salas and Pedro Sancho de Salas, A direct proof of thetheorem on formal functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4083

Cindy De Volder and Halszka Tutaj-Gasinska, Higher order embeddings ofcertain blow-ups ofP2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4089

B. ANALYSIS

R. Dhanya, J. Giacomoni, and S. Prashanth, Isolated singularities for theexponential type semilinear elliptic equation in R2 . . . . . . . . . . . . . . . . . . . . . . . . . 4099

Jason Asher, A Kurosh-type theorem for type III factors . . . . . . . . . . . . . . . . . . . . . . . 4109

Jitsuro Sugie and Ayano Endo, Attractivity for two-dimensional linear systemswhose anti-diagonal coefficients are periodic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4117

Krzysztof Fra�czek, Density of mild mixing property for vertical flows of Abeliandifferentials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4129

Boo Rim Choe, Hyungwoon Koo, and Michael Stessin, Carleson measuresfor Bergman spaces and their dual Berezin transforms . . . . . . . . . . . . . . . . . . . . . 4143

Kyung Hoon Han, Noncommutative Lp-space and operator system . . . . . . . . . . . . 4157

(Continued on inside back cover)

WHOLE NUMBER 606

TRANSACTIONS OF THE

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

PROVIDENCE, RHODE ISLAND USA

ISSN 0002-9947

VOLUME 361 NUMBER 12 DECEMBER 2009

WHOLE NUMBER 895

EDITED BYDan Abramovich Alejandro AdemLuchezar L. AvramovRichard F. BassMark FeighnRobert Guralnick, Managing Editor Yunping JiangAlexander KleshchevSteffen LemppWilliam P. Minicozzi IIAlexander NagelPeter PolacikGustavo PonceJonathan RogawskiShankar SenDimitri ShlyakhtenkoRobert J. StantonJohn R. Stembridge Daniel TataruMina Teicher Chris Woodward

Available electronically at www.ams.org/tran/

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TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

CONTENTS

Vol. 361, No. 12 Whole No. 895 December 2009

Ismail Kombe and Murad Ozaydin, Improved Hardy and Rellichinequalities on Riemannian manifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6191

Yohei Sato and Kazunaga Tanaka, Sign-changing multi-bump solutionsfor nonlinear Schrodinger equations with steep potential wells . . . . . . . . 6205

Benoıt Daniel, Isometric immersions into Sn×R and Hn×R and applicationsto minimal surfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6255

Didier Arnal, Bradley Currey, and Bechir Dali, Construction ofcanonical coordinates for exponential Lie groups . . . . . . . . . . . . . . . . . . . . . 6283

Victor Kaftal, David R. Larson, and Shuang Zhang, Operator-valuedframes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6349

Manel Sanchon and Jose Miguel Urbano, Entropy solutions for thep(x)-Laplace equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6387

Pandelis Dodos, On classes of Banach spaces admitting “small” universalspaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6407

Marina Ghisi and Massimo Gobbino, A class of local classical solutionsfor the one-dimensional Perona-Malik equation . . . . . . . . . . . . . . . . . . . . . . 6429

Kazufumi Kimoto, Sho Matsumoto, and Masato Wakayama, with anappendix by Kazufumi Kimoto, Alpha-determinant cyclic modulesand Jacobi polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6447

Daniel Daners and Pavel Drabek, A priori estimates for a class of quasi-linear elliptic equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6475

Claude Cibils and Pu Zhang, Calabi-Yau objects in triangulatedcategories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6501

I. M. Isaacs, Alexander Moreto, Gabriel Navarro, and Pham HuuTiep, Groups with just one character degree divisible by a given prime 6521

Manuel Blickle, Mircea Mustata, and Karen E. Smith, F -thresholdsof hypersurfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6549

El Maati Ouhabaz, A spectral multiplier theorem for non-self-adjointoperators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6567

Ken Dykema and Hanne Schultz, Brown measure and iterates of theAluthge transform for some operators arising from measurable actions 6583

Alex Iosevich, Hadi Jorati, and Izabella �Laba, Geometric incidencetheorems via Fourier analysis . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6595

Daniel Beltita, Iwasawa decompositions of some infinite-dimensional Liegroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6613

Irene I. Bouw, Stefan Wewers, and Leonardo Zapponi, Deformationdata, Belyi maps, and the local lifting problem . . . . . . . . . . . . . . . . . . . . . . . 6645

Bob Oliver and Joana Ventura, Saturated fusion systems over 2-groups 6661

Benoıt Kloeckner, Almost homogeneous manifolds with boundary . . . . . . 6729

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