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ISSN 0002-9947

VOLUME 361 NUMBER 12 DECEMBER 2009

WHOLE NUMBER 895

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William P. Minicozzi II

Alexander Nagel

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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 andHn×R and applications

to 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 an

appendix 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 Huu

Tiep, 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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INDEX TO VOLUME 361 (2009)

Abdennadher, Jawhar, and Jean Ludwig. Disintegrating tensor representations of nilpotent Lie

groups, 819Abert, Miklos, and Yair Glasner. Generic groups acting on regular trees, 3597Abo, Hirotachi, Giorgio Ottaviani, and Chris Peterson. Induction for secant varieties of Segre

varieties, 767Agapito, Jose, and Leonor Godinho. Intersection numbers of polygon spaces, 4969Agrachev, Andrei, and Paul Lee. Optimal transportation under nonholonomic constraints, 6019Aladova, Elena V., and Alexei N. Krasilnikov. Polynomial identities in nil-algebras, 5629Alfaro, Manuel, Juan Jose Moreno–Balcazar, Ana Pena, and M. Luisa Rezola. Sobolev orthogonal

polynomials: Balance and asymptotics, 547Alibaud, Nathael, and Cyril Imbert. Fractional semi-linear parabolic equations with unbounded

data, 2527Alkan, Emre, Kevin Ford, and Alexandru Zaharescu. Diophantine approximation with arithmetic

functions, I, 2263Allison, Bruce, Stephen Berman, John Faulkner, and Arturo Pianzola. Multiloop realization of

extended affine Lie algebras and Lie tori, 4807Almeida, Jorge, Stuart Margolis, Benjamin Steinberg, and Mikhail Volkov. Representation the-

ory of finite semigroups, semigroup radicals and formal language theory, 1429Araujo, V., M. J. Pacifico, E. R. Pujals, and M. Viana. Singular-hyperbolic attractors are chaotic,

2431Archbold, Robert J., Douglas W. B. Somerset, and Richard M. Timoney. Completely bounded

mappings and simplicial complex structure in the primitive ideal space of a C∗-algebra,1397

Arioli, Gianni, Andrzej Szulkin, and Wenming Zou. Multibump solutions and critical groups,3159

Arnal, Didier, Bradley Currey, and Bechir Dali. Construction of canonical coordinates for expo-

nential Lie groups, 6283Aschenbrenner, Matthias, and Christopher J. Hillar. Erratum for “Finite generation of symmet-

ric ideals”, 5627Ash, J. Marshall, and Laura De Carli. Growth of Lp Lebesgue constants for convex polyhedra

and other regions, 4215Aubry, Erwann, Jerome Bertrand, and Bruno Colbois. Eigenvalue pinching on convex domains

in space forms, 1Baeumer, Boris, Mark M. Meerschaert, and Erkan Nane. Brownian subordinators and fractional

Cauchy problems, 3915Baier, Stephan, and Liangyi Zhao. The Sato-Tate conjecture on average for small angles, 1811Barlow, Martin T., Richard F. Bass, Zhen-Qing Chen, and Moritz Kassmann. Non-local Dirichlet

forms and symmetric jump processes, 1963Barza, Sorina, Viktor Kolyada, and Javier Soria. Sharp constants related to the triangle inequal-

ity in Lorentz spaces, 5555Bass, Richard F. See Barlow, Martin T.

Bauschke, Heinz H., and Xianfu Wang. The kernel average for two convex functions and its

application to the extension and representation of monotone operators, 5947Becerra, Edward, and Bernardo Uribe. Stringy product on twisted orbifold K-theory for abelian

quotients, 5781Beguin, F., S. Crovisier, Tobias Jager, and F. Le Roux. Denjoy constructions for fibered home-

omorphisms of the torus, 5851Beltita, Daniel. Iwasawa decompositions of some infinite-dimensional Lie groups, 6613Ben-Bassat, Oren. Twisting derived equivalences, 5469Benjamini, Itai, Ori Gurel-Gurevich, and Boris Solomyak. Branching random walk with expo-

nentially decreasing steps, and stochastically self-similar measures, 1625Benko, David, and Andras Kroo. A Weierstrass-type theorem for homogeneous polynomials,

1645Benson, Dave. An algebraic model for chains on ΩBG

∧

p , 2225Bergner, Julia E. Complete Segal spaces arising from simplicial categories, 525Berman, Stephen. See Allison, BruceBertrand, Jerome. See Aubry, ErwannBiquard, Olivier, and Yann Rollin. Wormholes in ACH Einstein manifolds, 2021





















































Birtea, Petre, Juan-Pablo Ortega, and Tudor S. Ratiu. Openness and convexity for momentum

maps, 603Blagojevic, Pavle V. M., Sinisa T. Vrecica, and Rade T. Zivaljevic. Computational topology of

equivariant maps from spheres to complements of arrangements, 1007Blair, Matthew D. Spectral cluster estimates for metrics of Sobolev regularity, 1209Blanc-Centi, Lea. Stationary discs glued to a Levi non-degenerate hypersurface, 3223Blank, Ivan A., Marianne K. Korten, and Charles N. Moore. The Hele-Shaw problem as a “Mesa”

limit of Stefan problems: Existence, uniqueness, and regularity of the free boundary, 1241

Bleher, Frauke M. Universal deformation rings and dihedral defect groups, 3661Blickle, Manuel, Mircea Mustata, and Karen E. Smith. F -thresholds of hypersurfaces, 6549

Bloom, Thomas. Weighted polynomials and weighted pluripotential theory, 2163Bohner, Martin, Ondrej Dosly, and Werner Kratz. Sturmian and spectral theory for discrete

symplectic systems, 3109Bonino, Marc. On the dynamics of homology-preserving homeomorphisms of the annulus, 1903Bouw, Irene I., Stefan Wewers, and Leonardo Zapponi. Deformation data, Belyi maps, and the

local lifting problem, 6645Bowden, Jonathan. The topology of symplectic circle bundles, 5457Bracci, Filippo, Giorgio Patrizio, and Stefano Trapani. The pluricomplex Poisson kernel for

strongly convex domains, 979

Brady, N., L. Ciobanu, A. Martino, and S. O Rourke. The equation xpyq = zr and groups that

act freely on Λ-trees, 223Brenti, Francesco. Parabolic Kazhdan-Lusztig polynomials for Hermitian symmetric pairs, 1703Bringmann, Kathrin. Asymptotics for rank partition functions, 3483Buckley, Stephen M., and Simon L. Kokkendorff. Comparing the Floyd and ideal boundaries of

a metric space, 715

Buescu, J. See Graca, D.S.Buijs, Urtzi, Yves Felix, and Aniceto Murillo. Lie models for the components of sections of a

nilpotent fibration, 5601Burillo, Jose, Sean Cleary, Melanie Stein, and Jennifer Taback. Combinatorial and metric prop-

erties of Thompson’s group T , 631Burke, Maxim R. Entire functions mapping uncountable dense sets of reals onto each other

monotonically, 2871Byczkowski, T., J. Ma lecki, and M. Ryznar. Bessel potentials, hitting distributions and Green

functions, 4871Cabot, Alexandre, Hans Engler, and Sebastien Gadat. On the long time behavior of second order

differential equations with asymptotically small dissipation, 5983

Cannarsa, P., H. Frankowska, and E. M. Marchini. Existence and Lipschitz regularity of solutions

to Bolza problems in optimal control, 4491

Carja, Ovidiu, Mihai Necula, and Ioan I. Vrabie. Necessary and sufficient conditions for viability

for semilinear differential inclusions, 343Carvalho, A. N., and J. W. Cholewa. Local well posedness, asymptotic behavior and asymptotic

bootstrapping for a class of semilinear evolution equations of the second order in time, 2567Cass, Thomas, Peter Friz, and Nicolas Victoir. Non-degeneracy of Wiener functionals arising

from rough differential equations, 3359Castravet, Ana-Maria. The Cox ring of M0,6, 3851Cattaneo, A. S., and M. Zambon. Coisotropic embeddings in Poisson manifolds, 3721

Cavalcanti, M. M., V. N. Domingos Cavalcanti, R. Fukuoka, and J. A. Soriano. Asymptotic

stability of the wave equation on compact surfaces and locally distributed damping–A sharp

result, 4561Ceniceros, Jose, and Sam Nelson. Virtual Yang-Baxter cocycle invariants, 5263Chen, Qingtao, and Fei Han. Modular invariance and twisted cancellations of characteristic

numbers, 1463Chen, Zhen-Qing. See Barlow, Martin T.Cheong, Daewoong. Quantum cohomology rings of Lagrangian and orthogonal Grassmannians

and total positivity, 5505Chiang, Yik-Man, and Shao-Ji Feng. On the growth of logarithmic differences, difference quo-

tients and logarithmic derivatives of meromorphic functions, 3767

























































Choi, D. Weakly holomorphic modular forms of half-integral weight with nonvanishing constant

terms modulo ℓ, 3817Choi, Sunhi, David Jerison, and Inwon Kim. Locating the first nodal set in higher dimensions,

5111Choi, Y. S., and Roger Lui. Existence of traveling domain solutions for a two-dimensional mov-

ing boundary problem, 4027Cholewa, J. W. See Carvalho, A. N.Chong, C. T., and Liang Yu. A Π1

1-uniformization principle for reals, 4233

Chung, Fan, Yi-Jing Xu, and Stephen S.-T. Yau. Classification of weighted dual graphs with

only complete intersection singularities structures, 3535

Cibils, Claude, and Pu Zhang. Calabi-Yau objects in triangulated categories, 6501Cimpric, Jaka, Salma Kuhlmann, and Claus Scheiderer. Sums of squares and moment problems

in equivariant situations, 735Ciobanu, L. See Brady, N.Cleary, Sean. See Burillo, JoseCline, Edward T., Brian J. Parshall, and Leonard L. Scott. Reduced standard modules and co-

homology, 5223Colbois, Bruno. See Aubry, Erwann

Collins, Benoıt, and Piotr Sniady. Representations of Lie groups and random matrices, 3269Comets, Francis, Jeremy Quastel, and Alejandro F. Ramırez. Fluctuations of the front in a one

dimensional model of X + Y → 2X, 6165Cordero, Elena, Fabio Nicola, and Luigi Rodino. Boundedness of Fourier Integral Operators on

FLp spaces, 6049Corso, Alberto, and Uwe Nagel. Monomial and toric ideals associated to Ferrers graphs, 1371

Cortinas, G., C. Haesemeyer, Mark E. Walker, and C. Weibel. The K-theory of toric varieties,3325

Crandall, Michael G., Changyou Wang, and Yifeng Yu. Derivation of the Aronsson equation for

C1 Hamiltonians, 103Crovisier, S. See Beguin, F.Cruz-Uribe, D., SFO, and A. Fiorenza. L logL results for the maximal operator in variable Lp

spaces, 2631Currey, Bradley. See Arnal, DidierDai, Feng, and Yuan Xu. Boundedness of projection operators and Cesaro means in weighted

Lp space on the unit sphere, 3189Dali, Bechir. See Arnal, DidierDalibard, Anne-Laure. See Perthame, BenoıtDamian, Mihai. On the homotopy of finite CW-complexes with polycyclic fundamental group,

1791Dancer, E. N., and Juncheng Wei. Spike solutions in coupled nonlinear Schrodinger equations

with attractive interaction, 1189Daners, Daniel, and Pavel Drabek. A priori estimates for a class of quasi-linear elliptic equa-

tions, 6475Daniel, Benoıt. Isometric immersions into Sn × R and Hn × R and applications to minimal

surfaces, 6255

De Carli, Laura. See Ash, J. MarshallDebs, Gabriel, and Jean Saint Raymond. Effective refining of Borel coverings, 2831

Delort, J.-M. Long-time Sobolev stability for small solutions of quasi-linear Klein-Gordon equa-

tions on the circle, 4299Derridj, M., and B. Helffer. Subelliptic estimates for some systems of complex vector fields:

Quasihomogeneous case, 2607Desvillettes, Laurent, Giulia Furioli, and Elide Terraneo. Propagation of Gevrey regularity for

solutions of the Boltzmann equation for Maxwellian molecules, 1731Diaconis, Persi, and Nathaniel Thiem. Supercharacter formulas for pattern groups, 3501Dikranjan, Dikran, Brendan Goldsmith, Luigi Salce, and Paolo Zanardo. Algebraic entropy for

Abelian groups, 3401

Diller, Jeffrey, and Vincent Guedj. Regularity of dynamical Green’s functions, 4783














































Dintelmann, Eva, Matthias Geissert, and Matthias Hieber. Strong Lp-solutions to the Navier-

Stokes flow past moving obstacles: The case of several obstacles and time dependent veloc-

ity, 653Dodos, Pandelis. On classes of Banach spaces admitting “small” universal spaces, 6407Domingos Cavalcanti, V. N. See Cavalcanti, M. M.Dong, Hongjie, and Seick Kim. Green’s matrices of second order elliptic systems with measurable

coefficients in two dimensional domains, 3303Dosly, Ondrej. See Bohner, Martin

Drabek, Pavel. See Daners, DanielDuan, Ran, Hongxia Liu, and Huijiang Zhao. Nonlinear stability of rarefaction waves for the

compressible Navier-Stokes equations with large initial perturbation, 453Duval, Art M., Caroline J. Klivans, and Jeremy L. Martin. Simplicial matrix-tree theorems, 6073Dykema, Ken, and Hanne Schultz. Brown measure and iterates of the Aluthge transform for

some operators arising from measurable actions, 6583Ebenfelt, Peter, Bernhard Lamel, and Dmitri Zaitsev. Degenerate real hypersurfaces in C2 with

few automorphisms, 3241Eisworth, Todd, and Peter Nyikos. Antidiamond principles and topological applications, 5695El Soufi, Ahmad, Evans M. Harrell II, and Saıd Ilias. Universal inequalities for the eigenvalues

of Laplace and Schrodinger operators on submanifolds, 2337

Engler, Hans. See Cabot, AlexandreEnglis, Miroslav. Toeplitz operators and localization operators, 1039

. Berezin transforms on pluriharmonic Bergman spaces, 1173Esnault, Helene, and Chenyang Xu. Congruence for rational points over finite fields and coniveau

over local fields, 2679Eswara Rao, Senapathi, and Vyacheslav Futorny. Integrable modules for affine Lie superalgebras,

5435Eudave-Munoz, Mario, and Enrique Ramırez-Losada. Meridional surfaces and (1, 1)-knots, 671Faria Martins, Joao. The fundamental crossed module of the complement of a knotted surface,

4593Faulkner, John. See Allison, Bruce

Felix, Yves. See Buijs, UrtziFelmer, Patricio L., and Alexander Quaas. Fundamental solutions and two properties of elliptic

maximal and minimal operators, 5721Feng, Shao-Ji. See Chiang, Yik-ManFernandez, Isabel, and Pablo Mira. Holomorphic quadratic differentials and the Bernstein prob-

lem in Heisenberg space, 5737Fiorenza, A. See Cruz-Uribe, D., SFOFischer, Andreas, and Christian Remling. The absolutely continuous spectrum of discrete canon-

ical systems, 793Fisher, T., and M. Rodriguez Hertz. Quasi-Anosov diffeomorphisms of 3-manifolds, 3707Fleming, Thomas, and Ryo Nikkuni. Homotopy on spatial graphs and the Sato-Levine invariant,

1885Ford, Kevin. See Alkan, Emre

Francaviglia, Stefano. Geodesic currents and length compactness for automorphisms of free

groups, 161Frankowska, H. See Cannarsa, P.Friz, Peter. See Cass, ThomasFrosini, P., and C. Landi. Reparametrization invariant norms, 407Fuchs, Shay. Additivity of spinc-quantization under cutting, 5345Fukuoka, R. See Cavalcanti, M. M.

Furioli, Giulia. See Desvillettes, LaurentFutorny, Vyacheslav. See Eswara Rao, Senapathi

Gadat, Sebastien. See Cabot, AlexandreGarion, Shelly, and Aner Shalev. Commutator maps, measure preservation, and T -systems, 4631

Geissert, Matthias. See Dintelmann, EvaGelfert, Katrin, and Micha l Rams. Geometry of limit sets for expansive Markov systems, 2001Ghate, Eknath, and Ariane Mezard. Filtered modules with coefficients, 2243








































Ghergu, Marius. Steady-state solutions for Gierer-Meinhardt type systems with Dirichlet bound-

ary condition, 3953Ghisi, Marina, and Massimo Gobbino. A class of local classical solutions for the one-dimensional

Perona-Malik equation, 6429Ghoussoub, Nassif, and Frederic Robert. Elliptic equations with critical growth and a large set

of boundary singularities, 4843Ghrist, R. W., and R. C. Vandervorst. Scalar parabolic PDEs and braids, 2755Gimigliano, Alessandro, Brian Harbourne, and Monica Ida. Betti numbers for fat point ideals in

the plane: A geometric approach, 1103Glasner, Yair. See Abert, Miklos

Gobbino, Massimo. See Ghisi, MarinaGodinho, Leonor. See Agapito, JoseGol’dshtein, V., and A. Ukhlov. Weighted Sobolev spaces and embedding theorems, 3829Goldsmith, Brendan. See Dikranjan, DikranGoldston, D. A., S. W. Graham, J. Pintz, and C. Y. Yıldırım. Small gaps between primes or

almost primes, 5285Goncalves, Daciberg Lima, and John Guaschi. The lower central and derived series of the braid

groups of the sphere, 3375Goodearl, K. R., and M. Yakimov. Poisson structures on affine spaces and flag varieties. II,

5753Goodwin, Simon M., and Gerhard Rohrle. Rational points on generalized flag varieties and

unipotent conjugacy in finite groups of Lie type, 177Grabovsky, Yury, and Tadele Mengesha. Sufficient conditions for strong local minima: The case

of C1 extremals, 1495Graca, D.S., N. Zhong, and J. Buescu. Computability, noncomputability and undecidability of

maximal intervals of IVPs, 2913Graham, S. W. See Goldston, D. A.

Grbac, Neven. The residual spectrum of an inner form of Sp8 supported in the minimal parabolic

subgroup, 3977

Grech, Mariusz. Automorphisms of the lattice of equational theories of commutative semigroups,3435

Green, Edward L., and Dan Zacharia. Auslander-Reiten components containing modules with

bounded Betti numbers, 4195Groisser, David. Certain optimal correspondences between plane curves, I: Manifolds of shapes

and bimorphisms, 2959. Certain optimal correspondences between plane curves, II: Existence, local uniqueness,

regularity, and other properties, 3001Grunrock, Axel, and Luis Vega. Local well-posedness for the modified KdV equation in almost

critical Hrs -spaces, 5681

Guan, Pengfei, and Eric Sawyer. Regularity of subelliptic Monge-Ampere equations in the plane,

4581Guaschi, John. See Goncalves, Daciberg Lima

Guedj, Vincent. See Diller, JeffreyGuido, Daniele, Tommaso Isola, and Michel L. Lapidus. A trace on fractal graphs and the Ihara

zeta function, 3041Guralnick, Robert, and Susan Montgomery. Frobenius-Schur indicators for subgroups and the

Drinfel’d double of Weyl groups, 3611Gurel-Gurevich, Ori. See Benjamini, ItaiHaesemeyer, C. See Cortinas, G.Hagelstein, Paul, and Alexander Stokolos. Tauberian conditions for geometric maximal opera-

tors, 3031Hampton, Marshall, and Richard Moeckel. Finiteness of stationary configurations of the four-

vortex problem, 1317Han, Fei. See Chen, Qingtao

Han, Zhigang. Bi-invariant metrics on the group of symplectomorphisms, 3343Happel, Dieter, and Luise Unger. Reconstruction of path algebras from their posets of tilting

modules, 3633Harbourne, Brian. See Gimigliano, Alessandro














































Harrell, Evans M., II. See El Soufi, AhmadHassett, Brendan, and Donghoon Hyeon. Log canonical models for the moduli space of curves:

The first divisorial contraction, 4471Helffer, B. See Derridj, M.Hibi, Takayuki. See Murai, SatoshiHieber, Matthias. See Dintelmann, EvaHiep, Pham Hoang. See Khue, Nguyen VanHillar, Christopher J. See Aschenbrenner, Matthias

Hirschfeldt, Denis R., Richard A. Shore, and Theodore A. Slaman. The atomic model theorem

and type omitting, 5805

Hirschorn, James. Random gaps, 19Hogadi, Amit, and Chenyang Xu. Degenerations of rationally connected varieties, 3931Hryniv, Rostyslav O., and Yaroslav V. Mykytyuk. On zeros of some entire functions, 2207Hu, Yaozhong, and David Nualart. Rough path analysis via fractional calculus, 2689Hurder, Steven, and Dirk Toben. Transverse LS category for Riemannian foliations, 5647Hyeon, Donghoon. See Hassett, BrendanIda, Monica. See Gimigliano, AlessandroIgbida, Noureddine. From fast to very fast diffusion in the nonlinear heat equation, 5089Ikeda, Takeshi, and Hiroshi Naruse. Excited Young diagrams and equivariant Schubert calculus,

5193Ilias, Saıd. See El Soufi, AhmadImbert, Cyril. See Alibaud, NathaelIosevich, Alex, Hadi Jorati, and Izabella Laba. Geometric incidence theorems via Fourier anal-

ysis, 6595Isaacs, I. M., Alexander Moreto, Gabriel Navarro, and Pham Huu Tiep. Groups with just one

character degree divisible by a given prime, 6521Isola, Tommaso. See Guido, Daniele

Iyer, Jaya NN. Murre’s conjectures and explicit Chow–Kunneth projectors for varieties with a

nef tangent bundle, 1667

Izumi, Masaki. Every sum system is divisible, 4247Jachymski, Jacek. Konig chains for submultiplicative functions and infinite products of opera-

tors, 5967Jackson, Marcel, and Mikhail Volkov. Relatively inherently nonfinitely q-based semigroups, 2181Jager, Tobias. See Beguin, F.Jeanjean, Louis, and Stefan Le Coz. Instability for standing waves of nonlinear Klein-Gordon

equations via mountain-pass arguments, 5401

Jensen, Bernt Tore, Dag Madsen, and Xiuping Su. Degeneration of A-infinity modules, 4125Jerison, David. See Choi, Sunhi

Johnson, Jesse. Stable functions and common stabilizations of Heegaard splittings, 3747Jorati, Hadi. See Iosevich, AlexJuschenko, K., I. G. Todorov, and L. Turowska. Multidimensional operator multipliers, 4683Kaczorowski, Jerzy, and Kazimierz Wiertelak. Oscillations of a given size of some arithmetic

error terms, 5023Kaftal, Victor, David R. Larson, and Shuang Zhang. Operator-valued frames, 6349Kajikiya, Ryuji. A priori estimates of positive solutions for sublinear elliptic equations, 3793Kallstrom, Rolf. Liftable derivations for generically separably algebraic morphisms of schemes,

495

Kassmann, Moritz. See Barlow, Martin T.Kenig, Carlos E., and David J. Rule. The regularity and Neumann problem for non-symmetric

elliptic operators, 125Khue, Nguyen Van, and Pham Hoang Hiep. A comparison principle for the complex Monge-

Ampere operator in Cegrell’s classes and applications, 5539Kim, Inwon. See Choi, SunhiKim, Seick. See Dong, HongjieKimoto, Kazufumi, Sho Matsumoto, and Masato Wakayama, with an appendix by Kazufumi

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and their functional equations, 4405

Kokkendorff, Simon L. See Buckley, Stephen M.Kolyada, Viktor. See Barza, Sorina

Kombe, Ismail, and Murad Ozaydin. Improved Hardy and Rellich inequalities on Riemannian

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CONTENTS

Vol. 361, No. 1 Whole No. 884 January 2009

Erwann Aubry, Jerome Bertrand, and Bruno Colbois, Eigenvaluepinching on convex domains in space forms . . . . . . . . . . . . . . . . . . . . . . . . . . . 1

James Hirschorn, Random gaps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19

Sandro Zagatti, On viscosity solutions of Hamilton-Jacobi equations . . . . . 41

James Kingsbery, Alex Levin, Anatoly Preygel, and Cesar E. Silva,

On measure-preserving C1 transformations of compact-open subsets ofnon-archimedean local fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61

Scott Simon, A Dolbeault isomorphism theorem in infinite dimensions . . . 87

Michael G. Crandall, Changyou Wang, and Yifeng Yu, Derivation ofthe Aronsson equation for C1 Hamiltonians . . . . . . . . . . . . . . . . . . . . . . . . . . 103

Carlos E. Kenig and David J. Rule, The regularity and Neumann problemfor non-symmetric elliptic operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125

Stefano Francaviglia, Geodesic currents and length compactness forautomorphisms of free groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161

Simon M. Goodwin and Gerhard Rohrle, Rational points on generalizedflag varieties and unipotent conjugacy in finite groups of Lie type . . . . 177

Pascal Lambrechts and Victor Turchin, Homotopy graph-complex forconfiguration and knot spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 207

N. Brady, L. Ciobanu, A. Martino, and S. O Rourke, The equationxpyq = zr and groups that act freely on Λ-trees . . . . . . . . . . . . . . . . . . . . . . 223

Sang Youl Lee, Towards invariants of surfaces in 4-space via classical linkinvariants . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 237

Gregory Lupton, N. Christopher Phillips, Claude L. Schochet,

and Samuel B. Smith, Banach algebras and rational homotopy theory 267

Cedric Lecouvey, Crystal bases and combinatorics of infinite rank quantumgroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 297

David M. McClendon, Continuity of conditional measures associated tomeasure-preserving semiflows . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 331

Ovidiu Carja, Mihai Necula, and Ioan I. Vrabie, Necessary andsufficient conditions for viability for semilinear differential inclusions . . 343

Jesse Ratzkin and Andrejs Treibergs, A capture problem in Brownianmotion and eigenvalues of spherical domains . . . . . . . . . . . . . . . . . . . . . . . . . 391

P. Frosini and C. Landi, Reparametrization invariant norms . . . . . . . . . . . . 407

Ran Duan, Hongxia Liu, and Huijiang Zhao, Nonlinear stability ofrarefaction waves for the compressible Navier-Stokes equations withlarge initial perturbation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 453

Rolf Kallstrom, Liftable derivations for generically separably algebraicmorphisms of schemes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 495

Julia E. Bergner, Complete Segal spaces arising from simplicial categories 525

Manuel Alfaro, Juan Jose Moreno–Balcazar, Ana Pena, and M.

Luisa Rezola, Sobolev orthogonal polynomials: Balance and asymp-totics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 547








































Vol. 361, No. 2 Whole No. 885 February 2009

William J. Mitchell, I[ω2] can be the nonstationary ideal on Cof(ω1) . . . . 561

Petre Birtea, Juan-Pablo Ortega, and Tudor S. Ratiu, Openness andconvexity for momentum maps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 603

Jose Burillo, Sean Cleary, Melanie Stein, and Jennifer Taback,

Combinatorial and metric properties of Thompson’s group T . . . . . . . . . 631

Eva Dintelmann, Matthias Geissert, and Matthias Hieber, StrongLp-solutions to the Navier-Stokes flow past moving obstacles: The caseof several obstacles and time dependent velocity . . . . . . . . . . . . . . . . . . . . . . 653

Mario Eudave-Munoz and Enrique Ramırez-Losada, Meridionalsurfaces and (1, 1)-knots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 671

Vladimir Kondratiev, Vitali Liskevich, and Zeev Sobol, Positivesuper-solutions to semi-linear second-order non-divergence type ellipticequations in exterior domains . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 697

Stephen M. Buckley and Simon L. Kokkendorff, Comparing the Floydand ideal boundaries of a metric space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 715

Jaka Cimpric, Salma Kuhlmann, and Claus Scheiderer, Sums ofsquares and moment problems in equivariant situations . . . . . . . . . . . . . . . 735

Hirotachi Abo, Giorgio Ottaviani, and Chris Peterson, Induction forsecant varieties of Segre varieties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 767

Andreas Fischer and Christian Remling, The absolutely continuousspectrum of discrete canonical systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 793

Jawhar Abdennadher and Jean Ludwig, Disintegrating tensorrepresentations of nilpotent Lie groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 819

Christian Le Merdy, Eric Ricard, and Jean Roydor, Completely 1-complemented subspaces of Schatten spaces . . . . . . . . . . . . . . . . . . . . . . . . . . 849

Gabor Simonyi, Gabor Tardos, and Sinisa T. Vrecica, Local chromaticnumber and distinguishing the strength of topological obstructions . . . 889

Ichiro Shimada, Transcendental lattices and supersingular reduction latticesof a singular K3 surface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 909

G. Tenenbaum and M. Tucsnak, Fast and strongly localized observationfor the Schrodinger equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 951

Filippo Bracci, Giorgio Patrizio, and Stefano Trapani, Thepluricomplex Poisson kernel for strongly convex domains . . . . . . . . . . . . . 979

Pavle V. M. Blagojevic, Sinisa T. Vrecica, and Rade T.

Zivaljevic, Computational topology of equivariant maps from spheresto complements of arrangements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1007

Miroslav Englis, Toeplitz operators and localization operators . . . . . . . . . . . 1039

Ioanna Kyrezi and Michel Marias, Hp-bounds for spectral multipliers ongraphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1053

Meihua Yang and Chunyou Sun, Dynamics of strongly dampedwave equations in locally uniform spaces: Attractors and asymptoticregularity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1069

Alessandro Gimigliano, Brian Harbourne, and Monica Ida, Bettinumbers for fat point ideals in the plane: A geometric approach . . . . . . 1103











































Vol. 361, No. 3 Whole No. 886 March 2009

Volodymyr Mazorchuk, Serge Ovsienko, and Catharina Stroppel,

Quadratic duals, Koszul dual functors, and applications . . . . . . . . . . . . . . 1129

Miroslav Englis, Berezin transforms on pluriharmonic Bergman spaces . . . 1173

E. N. Dancer and Juncheng Wei, Spike solutions in coupled nonlinearSchrodinger equations with attractive interaction . . . . . . . . . . . . . . . . . . . . . 1189

Matthew D. Blair, Spectral cluster estimates for metrics of Sobolevregularity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1209

Ivan A. Blank, Marianne K. Korten, and Charles N. Moore, TheHele-Shaw problem as a “Mesa” limit of Stefan problems: Existence,uniqueness, and regularity of the free boundary . . . . . . . . . . . . . . . . . . . . . . 1241

Jean-Louis Tu, Twisted K-theory and Poincare duality . . . . . . . . . . . . . . . . . . 1269

Markus Linckelmann, Trivial source bimodule rings for blocks andp-permutation equivalences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1279

Marshall Hampton and Richard Moeckel, Finiteness of stationaryconfigurations of the four-vortex problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1317

Chaoping Xing and Sze Ling Yeo, Construction of global function fieldsfrom linear codes and vice versa . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1333

Genkai Zhang, Radon transform on symmetric matrix domains . . . . . . . . . . 1351

Alberto Corso and Uwe Nagel, Monomial and toric ideals associated toFerrers graphs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1371

Robert J. Archbold, Douglas W. B. Somerset, and Richard

M. Timoney, Completely bounded mappings and simplicial complexstructure in the primitive ideal space of a C∗-algebra . . . . . . . . . . . . . . . . . 1397

Jorge Almeida, Stuart Margolis, Benjamin Steinberg, and Mikhail

Volkov, Representation theory of finite semigroups, semigroup radicalsand formal language theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1429

Qingtao Chen and Fei Han, Modular invariance and twisted cancellationsof characteristic numbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1463

Yury Grabovsky and Tadele Mengesha, Sufficient conditions for stronglocal minima: The case of C1 extremals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1495

Chao Liang, Geng Liu, and Wenxiang Sun, Approximation propertieson invariant measure and Oseledec splitting in non-uniformly hyperbolicsystems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1543

Tianxuan Miao, Approximation properties and approximate identities ofAp(G) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1581

Laura Molino, The dynamics of maps tangent to the identity and withnonvanishing index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1597

Itai Benjamini, Ori Gurel-Gurevich, and Boris Solomyak, Branchingrandom walk with exponentially decreasing steps, and stochastically self-similar measures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1625

David Benko and Andras Kroo, A Weierstrass-type theorem forhomogeneous polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1645

Jaya NN. Iyer, Murre’s conjectures and explicit Chow–Kunneth projectorsfor varieties with a nef tangent bundle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1667










































Vol. 361, No. 4 Whole No. 887 April 2009

Xuan Hien Nguyen, Construction of complete embedded self-similarsurfaces under mean curvature flow. Part I. . . . . . . . . . . . . . . . . . . . . . . . . . . 1683

Francesco Brenti, Parabolic Kazhdan-Lusztig polynomials for Hermitiansymmetric pairs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1703

Laurent Desvillettes, Giulia Furioli, and Elide Terraneo, Propagationof Gevrey regularity for solutions of the Boltzmann equation forMaxwellian molecules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1731

John Pardon, On the unfolding of simple closed curves . . . . . . . . . . . . . . . . . . . 1749

Luke G. Rogers, Robert S. Strichartz, and Alexander Teplyaev,

Smooth bumps, a Borel theorem and partitions of smooth functions onp.c.f. fractals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1765

Mihai Damian, On the homotopy of finite CW-complexes with polycyclicfundamental group . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1791

Stephan Baier and Liangyi Zhao, The Sato-Tate conjecture on average forsmall angles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1811

Tahl Nowik, Immersions of surfaces into aspherical 3-manifolds . . . . . . . . . . . 1833

Satoshi Murai and Takayuki Hibi, Algebraic shifting and graded Bettinumbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1853

Ruifeng Qiu and Mingxing Zhang, Reducible and ∂-reducible handleadditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1867

Thomas Fleming and Ryo Nikkuni, Homotopy on spatial graphs and theSato-Levine invariant . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1885

Marc Bonino, On the dynamics of homology-preserving homeomorphisms ofthe annulus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1903

Hadi Salmasian, Small principal series and exceptional duality for twosimply laced exceptional groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1925

Efton Park and Jody Trout, On the nonexistence of nontrivial involutiven-homomorphisms of C⋆-algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1949

Martin T. Barlow, Richard F. Bass, Zhen-Qing Chen, and Moritz

Kassmann, Non-local Dirichlet forms and symmetric jump processes 1963

Katrin Gelfert and Micha l Rams, Geometry of limit sets for expansiveMarkov systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2001

Olivier Biquard and Yann Rollin, Wormholes in ACH Einstein manifolds 2021

Zhi-Cheng Wang, Wan-Tong Li, and Shigui Ruan, Entire solutions inbistable reaction-diffusion equations with nonlocal delayed nonlinearity 2047

Takao Satoh, The cokernel of the Johnson homomorphisms of theautomorphism group of a free metabelian group . . . . . . . . . . . . . . . . . . . . . . 2085

Radu Laza, Deformations of singularities and variation of GIT quotients . 2109

Thomas Bloom, Weighted polynomials and weighted pluripotential theory 2163

Marcel Jackson and Mikhail Volkov, Relatively inherently nonfinitelyq-based semigroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2181

Rostyslav O. Hryniv and Yaroslav V. Mykytyuk, On zeros of someentire functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2207

Dave Benson, An algebraic model for chains on ΩBG∧

p. . . . . . . . . . . . . . . . . . . 2225











































Vol. 361, No. 5 Whole No. 888 May 2009

Eknath Ghate and Ariane Mezard, Filtered modules with coefficients . 2243

Emre Alkan, Kevin Ford, and Alexandru Zaharescu, Diophantineapproximation with arithmetic functions, I . . . . . . . . . . . . . . . . . . . . . . . . . . . 2263

Ki-Seng Tan, Generalized Stark formulae over function fields . . . . . . . . . . . . . 2277

Heike Mildenberger and Saharon Shelah, The near coherence of filtersprinciple does not imply the filter dichotomy principle . . . . . . . . . . . . . . . . 2305

Benoıt Perthame and Anne-Laure Dalibard, Existence of solutions ofthe hyperbolic Keller-Segel model . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2319

Ahmad El Soufi, Evans M. Harrell II, and Saıd Ilias, Universalinequalities for the eigenvalues of Laplace and Schrodinger operatorson submanifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2337

Paul Levy, Isomorphism problems of noncommutative deformations of typeD Kleinian singularities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2351

Jorge Lauret and Cynthia E. Will, Nilmanifolds of dimension ≤ 8admitting Anosov diffeomorphisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2377

Sean Lawton, Poisson geometry of SL(3,C)-character varieties relative to asurface with boundary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2397

V. Araujo, M. J. Pacifico, E. R. Pujals, and M. Viana, Singular-hyperbolic attractors are chaotic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2431

Luis Paris, Residual p properties of mapping class groups and surface groups 2487

U. Meierfrankenfeld and B. Stellmacher, F -stability in finite groups . 2509

Nathael Alibaud and Cyril Imbert, Fractional semi-linear parabolicequations with unbounded data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2527

A. N. Carvalho and J. W. Cholewa, Local well posedness, asymptoticbehavior and asymptotic bootstrapping for a class of semilinearevolution equations of the second order in time . . . . . . . . . . . . . . . . . . . . . . . 2567

Stefaan Vaes, Factors of type II1 without non-trivial finite index subfactors 2587

M. Derridj and B. Helffer, Subelliptic estimates for some systems ofcomplex vector fields: Quasihomogeneous case . . . . . . . . . . . . . . . . . . . . . . . . 2607

D. Cruz-Uribe, SFO and A. Fiorenza, L logL results for the maximaloperator in variable Lp spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2631

S. Kouchekian and V. A. Prokhorov, On estimates for the ratio of errorsin best rational approximation of analytic functions . . . . . . . . . . . . . . . . . . 2649

Seunghun Lee, Depths of multiplier ideals and integral closure . . . . . . . . . . . 2665

Helene Esnault and Chenyang Xu, Congruence for rational points overfinite fields and coniveau over local fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2679

Yaozhong Hu and David Nualart, Rough path analysis via fractionalcalculus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2689

Gitta Kutyniok and Demetrio Labate, Resolution of the wavefront setusing continuous shearlets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2719

R. W. Ghrist and R. C. Vandervorst, Scalar parabolic PDEs and braids 2755

Mirjana Vuletic, A generalization of MacMahon’s formula . . . . . . . . . . . . . . . 2789











































Vol. 361, No. 6 Whole No. 889 June 2009

Jack Spielberg, Semiprojectivity for certain purely infinite C∗-algebras . . 2805

Gabriel Debs and Jean Saint Raymond, Effective refining of Borelcoverings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2831

Maxim R. Burke, Entire functions mapping uncountable dense sets of realsonto each other monotonically . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2871

D.S. Graca, N. Zhong, and J. Buescu, Computability, noncomputabilityand undecidability of maximal intervals of IVPs . . . . . . . . . . . . . . . . . . . . . . 2913

Scott T. Parsell, Asymptotic estimates for rational linear spaces onhypersurfaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2929

David Groisser, Certain optimal correspondences between plane curves, I:Manifolds of shapes and bimorphisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2959

David Groisser, Certain optimal correspondences between plane curves, II:Existence, local uniqueness, regularity, and other properties . . . . . . . . . . 3001

Paul Hagelstein and Alexander Stokolos, Tauberian conditions forgeometric maximal operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3031

Daniele Guido, Tommaso Isola, and Michel L. Lapidus, A trace onfractal graphs and the Ihara zeta function . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3041

Wenxiang Sun, Todd Young, and Yunhua Zhou, Topological entropiesof equivalent smooth flows . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3071

David Savitt, Polynomials, meanders, and paths in the lattice of noncrossingpartitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3083

Martin Bohner, Ondrej Dosly, and Werner Kratz, Sturmian andspectral theory for discrete symplectic systems . . . . . . . . . . . . . . . . . . . . . . . 3109

Marius Mitrea and Sylvie Monniaux, On the analyticity of the semigroupgenerated by the Stokes operator with Neumann-type boundaryconditions on Lipschitz subdomains of Riemannian manifolds . . . . . . . . . 3125

Gianni Arioli, Andrzej Szulkin, and Wenming Zou, Multibumpsolutions and critical groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3159

Feng Dai and Yuan Xu, Boundedness of projection operators and Cesaromeans in weighted Lp space on the unit sphere . . . . . . . . . . . . . . . . . . . . . . . 3189

Lea Blanc-Centi, Stationary discs glued to a Levi non-degeneratehypersurface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3223

Peter Ebenfelt, Bernhard Lamel, and Dmitri Zaitsev, Degenerate realhypersurfaces in C

2 with few automorphisms . . . . . . . . . . . . . . . . . . . . . . . . . 3241

Benoıt Collins and Piotr Sniady, Representations of Lie groups andrandom matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3269

Steven D. Taliaferro, Blow-up of solutions of nonlinear parabolicinequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3289

Hongjie Dong and Seick Kim, Green’s matrices of second order ellipticsystems with measurable coefficients in two dimensional domains . . . . . 3303

G. Cortinas, C. Haesemeyer, Mark E. Walker, and C. Weibel, TheK-theory of toric varieties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3325

Zhigang Han, Bi-invariant metrics on the group of symplectomorphisms . . 3343

Thomas Cass, Peter Friz, and Nicolas Victoir, Non-degeneracy ofWiener functionals arising from rough differential equations . . . . . . . . . . 3359














































Masakazu Teragaito, Erratum to “Distance between toroidal surgeries onhyperbolic knots in the 3-sphere” . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3373

Vol. 361, No. 7 Whole No. 890 July 2009

Daciberg Lima Goncalves and John Guaschi, The lower central andderived series of the braid groups of the sphere . . . . . . . . . . . . . . . . . . . . . . . 3375

Dikran Dikranjan, Brendan Goldsmith, Luigi Salce, and Paolo

Zanardo, Algebraic entropy for Abelian groups . . . . . . . . . . . . . . . . . . . . . . 3401

Mariusz Grech, Automorphisms of the lattice of equational theories ofcommutative semigroups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3435

Lei Zhang, Prescribing curvatures on three dimensional Riemannianmanifolds with boundaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3463

Kathrin Bringmann, Asymptotics for rank partition functions . . . . . . . . . . . 3483

Persi Diaconis and Nathaniel Thiem, Supercharacter formulas forpattern groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3501

Fan Chung, Yi-Jing Xu, and Stephen S.-T. Yau, Classificationof weighted dual graphs with only complete intersection singularitiesstructures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3535

Miklos Abert and Yair Glasner, Generic groups acting on regular trees 3597

Robert Guralnick and Susan Montgomery, Frobenius-Schur indicatorsfor subgroups and the Drinfel’d double of Weyl groups . . . . . . . . . . . . . . . 3611

Dieter Happel and Luise Unger, Reconstruction of path algebras fromtheir posets of tilting modules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3633

Frauke M. Bleher, Universal deformation rings and dihedral defect groups 3661

T. Fisher and M. Rodriguez Hertz, Quasi-Anosov diffeomorphisms of3-manifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3707

A. S. Cattaneo and M. Zambon, Coisotropic embeddings in Poissonmanifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3721

Jesse Johnson, Stable functions and common stabilizations of Heegaardsplittings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3747

Yik-Man Chiang and Shao-Ji Feng, On the growth of logarithmic dif-ferences, difference quotients and logarithmic derivatives of meromorphicfunctions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3767

Ryuji Kajikiya, A priori estimates of positive solutions for sublinear ellipticequations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3793

D. Choi, Weakly holomorphic modular forms of half-integral weight withnonvanishing constant terms modulo ℓ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3817

V. Gol’dshtein and A. Ukhlov, Weighted Sobolev spaces and embeddingtheorems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3829

Ana-Maria Castravet, The Cox ring of M0,6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3851

Dennis The, Invariant Yang–Mills connections over non-reductive pseudo-Riemannian homogeneous spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3879

Boris Baeumer, Mark M. Meerschaert, and Erkan Nane, Browniansubordinators and fractional Cauchy problems . . . . . . . . . . . . . . . . . . . . . . . . 3915










































Amit Hogadi and Chenyang Xu, Degenerations of rationally connectedvarieties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3931

Isaac Pesenson, Erratum to “Sampling in Paley-Wiener spaces oncombinatorial graphs” . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3951

Vol. 361, No. 8 Whole No. 891 August 2009

Marius Ghergu, Steady-state solutions for Gierer-Meinhardt type systemswith Dirichlet boundary condition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3953

Neven Grbac, The residual spectrum of an inner form of Sp8 supported inthe minimal parabolic subgroup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3977

Laszlo Lempert, On the cohomology groups of holomorphic Banach bundles 4013

Y. S. Choi and Roger Lui, Existence of traveling domain solutions for atwo-dimensional moving boundary problem . . . . . . . . . . . . . . . . . . . . . . . . . . . 4027

Jay Kovats, Value functions and the Dirichlet problem for Isaacs equation ina smooth domain . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4045

Gabriel P. Paternain and Jimmy Petean, Collapsing manifolds obtainedby Kummer-type constructions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4077

Paul Kirk and Charles Livingston, The geography problem for4–manifolds with specified fundamental group . . . . . . . . . . . . . . . . . . . . . . . . 4091

Bernt Tore Jensen, Dag Madsen, and Xiuping Su, Degeneration ofA-infinity modules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4125

Wilhelm Winter, Covering dimension for nuclear C∗-algebras II . . . . . . . . . 4143

Ariane M. Masuda and Michael E. Zieve, Permutation binomials overfinite fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4169

Dominique Lecomte, A dichotomy characterizing analytic digraphs ofuncountable Borel chromatic number in any dimension . . . . . . . . . . . . . . . 4181

Edward L. Green and Dan Zacharia, Auslander-Reiten componentscontaining modules with bounded Betti numbers . . . . . . . . . . . . . . . . . . . . . 4195

J. Marshall Ash and Laura De Carli, Growth of Lp Lebesgue constantsfor convex polyhedra and other regions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4215

C. T. Chong and Liang Yu, A Π1

1-uniformization principle for reals . . . . 4233

Masaki Izumi, Every sum system is divisible . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4247

Swagato K. Ray and Rudra P. Sarkar, Fourier and Radon transform onharmonic NA groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4269

J.-M. Delort, Long-time Sobolev stability for small solutions of quasi-linearKlein-Gordon equations on the circle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4299

Wolfgang M. Ruess, Flow invariance for nonlinear partial differential delayequations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4367

Benjamin Klopsch and Christopher Voll, Igusa-type functionsassociated to finite formed spaces and their functional equations . . . . . . 4405

Peter R. W. McNamara and Stephanie van Willigenburg, Towards acombinatorial classification of skew Schur functions . . . . . . . . . . . . . . . . . . . 4437

Brendan Hassett and Donghoon Hyeon, Log canonical models for themoduli space of curves: The first divisorial contraction . . . . . . . . . . . . . . . 4471











































Vol. 361, No. 9 Whole No. 892 September 2009

P. Cannarsa, H. Frankowska, and E. M. Marchini, Existence andLipschitz regularity of solutions to Bolza problems in optimal control . 4491

Wentang Kuo and Yu-Ru Liu, A Carlitz module analogue of a conjectureof Erdos and Pomerance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4519

J. Lopez-Abad and S. Todorcevic, A c0-saturated Banach space with nolong unconditional basic sequences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4541

M. M. Cavalcanti, V. N. Domingos Cavalcanti, R. Fukuoka,

and J. A. Soriano, Asymptotic stability of the wave equation oncompact surfaces and locally distributed damping–A sharp result . . . . . 4561

Pengfei Guan and Eric Sawyer, Regularity of subelliptic Monge-Ampereequations in the plane . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4581

Joao Faria Martins, The fundamental crossed module of the complement ofa knotted surface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4593

Shelly Garion and Aner Shalev, Commutator maps, measure preserva-tion, and T -systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4631

P. J. Lamberson, The Milnor Fiber Conjecture and iterated branched cycliccovers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4653

K. Juschenko, I. G. Todorov, and L. Turowska, Multidimensionaloperator multipliers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4683

Akira Yasuhara, Self delta-equivalence for links whose Milnor’s isotopyinvariants vanish . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4721

James A. Mingo, Roland Speicher, and Edward Tan, Second ordercumulants of products . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4751

Jeffrey Diller and Vincent Guedj, Regularity of dynamical Green’sfunctions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4783

Bruce Allison, Stephen Berman, John Faulkner, and Arturo

Pianzola, Multiloop realization of extended affine Lie algebras and Lietori . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4807

Nassif Ghoussoub and Frederic Robert, Elliptic equations with criticalgrowth and a large set of boundary singularities . . . . . . . . . . . . . . . . . . . . . . 4843

T. Byczkowski, J. Ma lecki, and M. Ryznar, Bessel potentials, hittingdistributions and Green functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4871

Piotr Oprocha, Distributional chaos revisited . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4901

Sebastian Klein, Totally geodesic submanifolds of the complex and thequaternionic 2-Grassmannians . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4927

Jose Agapito and Leonor Godinho, Intersection numbers of polygonspaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4969

Jorge Neves and Stavros Argyrios Papadakis, A construction ofnumerical Campedelli surfaces with torsion Z/6 . . . . . . . . . . . . . . . . . . . . . . 4999

Jerzy Kaczorowski and Kazimierz Wiertelak, Oscillations of a given sizeof some arithmetic error terms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5023

Ross G. Pinsky, Spectral analysis of a class of nonlocal elliptic operatorsrelated to Brownian motion with random jumps . . . . . . . . . . . . . . . . . . . . . . 5041










































Vol. 361, No. 10 Whole No. 893 October 2009

Pedro Sanchez Terraf and Diego J. Vaggione, Varieties with definablefactor congruences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5061

Noureddine Igbida, From fast to very fast diffusion in the nonlinear heatequation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5089

Sunhi Choi, David Jerison, and Inwon Kim, Locating the first nodal setin higher dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5111

Panos Papasoglu, Cheeger constants of surfaces and isoperimetricinequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5139

Jingbo Xia, A characterization of compact perturbations of Toeplitzoperators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5163

Michael Kunzinger, Roland Steinbauer, and James A. Vickers,

Sheaves of nonlinear generalized functions and manifold-valueddistributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5177

Takeshi Ikeda and Hiroshi Naruse, Excited Young diagrams andequivariant Schubert calculus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5193

Edward T. Cline, Brian J. Parshall, and Leonard L. Scott, Reducedstandard modules and cohomology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5223

Jose Ceniceros and Sam Nelson, Virtual Yang-Baxter cocycle invariants 5263

D. A. Goldston, S. W. Graham, J. Pintz, and C. Y. Yıldırım, Smallgaps between primes or almost primes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5285

Gabor P. Nagy, A class of finite simple Bol loops of exponent 2 . . . . . . . . . . 5331

Shay Fuchs, Additivity of spinc-quantization under cutting . . . . . . . . . . . . . . . 5345

Elizabeth Meckes, On the approximate normality of eigenfunctions of theLaplacian . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5377

Louis Jeanjean and Stefan Le Coz, Instability for standing waves ofnonlinear Klein-Gordon equations via mountain-pass arguments . . . . . . 5401

Jan van Mill, Analytic groups and pushing small sets apart . . . . . . . . . . . . . . 5417

Senapathi Eswara Rao and Vyacheslav Futorny, Integrable modules foraffine Lie superalgebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5435

Jonathan Bowden, The topology of symplectic circle bundles . . . . . . . . . . . . 5457

Oren Ben-Bassat, Twisting derived equivalences . . . . . . . . . . . . . . . . . . . . . . . . . 5469

Daewoong Cheong, Quantum cohomology rings of Lagrangian andorthogonal Grassmannians and total positivity . . . . . . . . . . . . . . . . . . . . . . . 5505

Nguyen Van Khue and Pham Hoang Hiep, A comparison principlefor the complex Monge-Ampere operator in Cegrell’s classes andapplications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5539

Sorina Barza, Viktor Kolyada, and Javier Soria, Sharp constantsrelated to the triangle inequality in Lorentz spaces . . . . . . . . . . . . . . . . . . . 5555

Shuichiro Takeda, Some local-global non-vanishing results for theta liftsfrom orthogonal groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5575

Urtzi Buijs, Yves Felix, and Aniceto Murillo, Lie models for thecomponents of sections of a nilpotent fibration . . . . . . . . . . . . . . . . . . . . . . . 5601

A. Stapledon, Inequalities and Ehrhart δ-vectors . . . . . . . . . . . . . . . . . . . . . . . . . 5615

Matthias Aschenbrenner and Christopher J. Hillar, Erratum for“Finite generation of symmetric ideals” . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5627













































Vol. 361, No. 11 Whole No. 894 November 2009

Elena V. Aladova and Alexei N. Krasilnikov, Polynomial identities innil-algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5629

Steven Hurder and Dirk Toben, Transverse LS category for Riemannianfoliations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5647

Axel Grunrock and Luis Vega, Local well-posedness for the modified KdV

equation in almost critical Hrs-spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5681

Todd Eisworth and Peter Nyikos, Antidiamond principles and topologicalapplications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5695

Patricio L. Felmer and Alexander Quaas, Fundamental solutions andtwo properties of elliptic maximal and minimal operators . . . . . . . . . . . . . 5721

Isabel Fernandez and Pablo Mira, Holomorphic quadratic differentialsand the Bernstein problem in Heisenberg space . . . . . . . . . . . . . . . . . . . . . . . 5737

K. R. Goodearl and M. Yakimov, Poisson structures on affine spaces andflag varieties. II . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5753

Edward Becerra and Bernardo Uribe, Stringy product on twistedorbifold K-theory for abelian quotients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5781

Denis R. Hirschfeldt, Richard A. Shore, and Theodore A. Slaman,

The atomic model theorem and type omitting . . . . . . . . . . . . . . . . . . . . . . . . 5805

Yanir A. Rubinstein, On the construction of Nadel multiplier ideal sheavesand the limiting behavior of the Ricci flow . . . . . . . . . . . . . . . . . . . . . . . . . . . 5839

F. Beguin, S. Crovisier, Tobias Jager, and F. Le Roux, Denjoyconstructions for fibered homeomorphisms of the torus . . . . . . . . . . . . . . . 5851

Maria Antonietta Pascali and Carlo Petronio, Surface branched coversand geometric 2-orbifolds . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5885

D. Rogalski, GK-dimension of birationally commutative surfaces . . . . . . . . . 5921

Heinz H. Bauschke and Xianfu Wang, The kernel average for two convexfunctions and its application to the extension and representation ofmonotone operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5947

Jacek Jachymski, Konig chains for submultiplicative functions and infiniteproducts of operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5967

Alexandre Cabot, Hans Engler, and Sebastien Gadat, On the longtime behavior of second order differential equations with asymptoticallysmall dissipation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5983

Andrei Agrachev and Paul Lee, Optimal transportation undernonholonomic constraints . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6019

Elena Cordero, Fabio Nicola, and Luigi Rodino, Boundedness of FourierIntegral Operators on FLp spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6049

Art M. Duval, Caroline J. Klivans, and Jeremy L. Martin, Simplicialmatrix-tree theorems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6073

Tanguy Rivoal, Rational approximations for values of derivatives of theGamma function . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6115

Martina Kubitzke and Eran Nevo, The Lefschetz property for barycentricsubdivisions of shellable complexes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6151

Francis Comets, Jeremy Quastel, and Alejandro F. Ramırez,

Fluctuations of the front in a one dimensional model of X + Y → 2X 6165















































Benoıt Daniel, Isometric immersions into Sn×R andHn×R and applications


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


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


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




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



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



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




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






































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papers 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 Transactions of the AMS fromwww.ams.org/tran/tranauthorpac.html or via FTP to ftp.ams.org (login as anonymous,enter your complete email address as password, and type cd pub/author-info). The AMS

Author Handbook and the Instruction Manual are available in PDF format from the au-thor package link. The author package can also be obtained free of charge by sending emailto [email protected] (Internet) or from the Publication Division, American Math-ematical Society, 201 Charles Street, Providence, RI 02904-2294 USA. When requestingan author package, please specify AMS-LATEX or AMS-TEX and the publication in whichyour paper will 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] (Internet), or sent on diskette to the Electronic PrepressDepartment, American Mathematical Society, 201 Charles Street, Providence, RI 02904-2294 USA. When sending a manuscript electronically via email or diskette, please be sureto include a message indicating in which publication the paper has been accepted. Nocorrections will be accepted electronically. Authors must mark their changes on theirproof copies and return them to the Providence office. Complete instructions on how tosend files are included 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 manu-scripts through the AMS journal production process using the personal AMS ID andArticle ID printed in the upper right-hand corner of the Consent to Publish form sentto each author who publishes in AMS journals. Access to the tracking system is avail-able from www.ams.org/mstrack/. An explanation of each production step is providedon the web through links from the manuscript tracking screen. Questions can be sent [email protected].

TEX files available upon request. TEX files are available upon request for authorsby sending email to [email protected] or by contacting the Electronic Prepress De-partment, American Mathematical Society, 201 Charles Street, Providence, RI 02904-2294USA. The request should include the title of the paper, the name(s) of the author(s), thename of the publication in which the paper has or will appear, and the volume and issuenumbers if known. The TEX file will be sent to the author making the request after thearticle goes to the printer. If the requestor can receive Internet email, please include theemail address to which the file should be sent. Otherwise please indicate a diskette formatand postal address to which a disk should be mailed. Note: Because TEX production atthe AMS sometimes requires extra fonts and macros that are not yet publicly available,TEX files cannot be guaranteed to run through the author’s version of TEX without errors.The AMS regrets that it cannot provide support to eliminate such errors in the author’sTEX environment.

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 journals. Au-

thors should follow instructions listed on the Initial Submission page found at www.ams.org/tran/

transubmit.html.

Algebra, ALEXANDER KLESHCHEV, Department of Mathematics, University of Oregon, Eugene,OR 97403-1222 USA; e-mail: [email protected]

Algebraic geometry, DAN ABRAMOVICH, Department of Mathematics, Brown University, Box1917, Providence, RI 02912 USA; e-mail: [email protected]

Algebraic geometry and its applications, MINA TEICHER, Emmy Noether Research Institutefor Mathematics, Bar-Ilan University, Ramat-Gan 52900, Israel; e-mail: [email protected]

Algebraic topology, ALEJANDRO ADEM, Department of Mathematics, University of BritishColumbia, Room 121, 1984 Mathematics Road, Vancouver, British Columbia, Canada V6T 1Z2; e-mail:[email protected]

Combinatorics, JOHN R. STEMBRIDGE, Department of Mathematics, University of Michigan,Ann Arbor, MI 48109-1043 USA; e-mail: [email protected]

Commutative and homological algebra, LUCHEZAR L. AVRAMOV, Department of Mathe-matics, University of Nebraska, Lincoln, NE 68588-0130 USA; e-mail: [email protected]

Complex analysis and harmonic analysis, ALEXANDER NAGEL, Department of Mathematics,University of Wisconsin, 480 Lincoln Drive, Madison, WI 53706-1313 USA; e-mail: [email protected]

Differential geometry and global analysis, CHRIS WOODWARD, Department of Mathematics,Rutgers University, 110 Frelinghuysen Road, Piscataway, NJ 08854 USA; e-mail: [email protected]

Dynamical systems and ergodic theory and complex analysis, YUNPING JIANG, Depart-ment of Mathematics, CUNY Queens College and Graduate Center, 65-30 Kissena Boulevard, Flushing,NY 11367 USA; e-mail: [email protected]

Functional analysis and operator algebras, DIMITRI SHLYAKHTENKO, Department of Math-ematics, University of California, Los Angeles, CA 90095 USA; e-mail: [email protected]

Geometric analysis, WILLIAM P. MINICOZZI II, Department of Mathematics, Johns HopkinsUniversity, 3400 N. Charles Street, Baltimore, MD 21218 USA; e-mail: [email protected]

Geometric topology, MARK FEIGHN, Department of Mathematics, Rutgers University, Newark,NJ 07102 USA; e-mail: [email protected]

Harmonic analysis, representation theory, and Lie theory, ROBERT J. STANTON, Depart-ment of Mathematics, Ohio State University, 231 West 18th Avenue, Columbus, OH 43210-1174 USA;e-mail: [email protected]

Logic, STEFFEN LEMPP, Department of Mathematics, University of Wisconsin, 480 Lincoln Drive,Madison, WI 53706-1388 USA; e-mail: [email protected]

Number theory, JONATHAN ROGAWSKI, Department of Mathematics, University of California,Los Angeles, CA 90095 USA; e-mail: [email protected]

Number theory, SHANKAR SEN, Department of Mathematics, 505 Malott Hall, Cornell Univer-sity, Ithaca, NY 14853 USA; e-mail: [email protected]

Partial differential equations, GUSTAVO PONCE, Department of Mathematics, South Hall,Room 6607, University of California, Santa Barbara, CA 93106 USA; e-mail: [email protected]

Partial differential equations and dynamical systems, PETER POLACIK, School of Mathe-matics, University of Minnesota, Minneapolis, MN 55455 USA; e-mail: [email protected]

Probability and statistics, RICHARD F. BASS, Department of Mathematics, University of Con-necticut, Storrs, CT 06269-3009 USA; e-mail: [email protected]

Real analysis and partial differential equations, DANIEL TATARU, Department of Mathemat-ics, University of California, Berkeley, CA 94720 USA; e-mail: [email protected]

All other communications to the editors should be addressed to the Managing Editor,

ROBERT GURALNICK, Department of Mathematics, University of Southern California, Los

Angeles, CA 90089-1113 USA; e-mail: [email protected]

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY

Memoirs is devoted to research in pure and applied mathematics of the same nature as Trans-

actions. An issue consists of one or more separately bound research tracts for which the authors

provide reproduction copy. Papers intended for Memoirs should normally be at least 80 pages

in length. Memoirs has the same editorial committee as Transactions; authors may choose an

Editor from the list above upon submission.

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CONTENTS




Benoıt Daniel, Isometric immersions into Sn×R and Hn×R and applications


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


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


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




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



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



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




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

volume 361 number 12 december 2009 transactions - … filetransactions of the american mathematical...

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