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 · weiss inequalities and existence of their...

VOLUME 370 NUMBER 12 WHOLE NUMBER 1003 DECEMBER 2018

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

EDITED BYAlejandro Adem, Managing EditorVitaly BergelsonRichard CanaryLucia CaporasoTed C. ChinburgHenri DarmonPatrick J. FitzsimmonsNoam GreenbergJim HaglundMichael HillAlexander A. KiselevMichael LarsenChiu-Chu Melissa LiuIan MelbourneIrena PeevaMalabika PramanikWilhelm SchlagTatiana ToroStefaan VaesMarie-France VignerasMonica Visan

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TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY

CONTENTS

Vol. 370, No. 12 Whole No. 1003 December 2018

Qi Ding, A rigidity theorem on the second fundamental form for self-shrinkers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8311

Jurgen Angst, Viet-Hung Pham, and Guillaume Poly, Universality ofthe nodal length of bivariate random trigonometric polynomials . . . . . . 8331

Gregor Bruns, Twists of Mukai bundles and the geometry of the level 3modular variety over M8 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8359

Ketil Tveiten, Period integrals and mutation . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8377

V. Trivedi, Hilbert-Kunz density function and Hilbert-Kunz multiplicity . 8403

Lu Chen, Zhao Liu, Guozhen Lu, and Chunxia Tao, Reverse Stein–Weiss inequalities and existence of their extremal functions . . . . . . . . . . 8429

Ricardo Freire and Victor Vargas, Equilibrium states and zerotemperature limit on topologically transitive countable Markov shifts 8451

Kelly Bickel, Michael Hartz, and John E. McCarthy, A multiplieralgebra functional calculus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8467

Alexander Lindner, Lei Pan, and Ken-iti Sato, On quasi-infinitelydivisible distributions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8483

Peter K. Friz and David J. Promel, Rough path metrics on a Besov–Nikolskii-type scale . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8521

Mordechai Katzman, Linquan Ma, Ilya Smirnov, and WenliangZhang, D-module and F -module length of local cohomology modules 8551

Jarod Hart, Rodolfo H. Torres, and Xinfeng Wu, Smoothing propertiesof bilinear operators and Leibniz-type rules in Lebesgue and mixedLebesgue spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8581

Y.-H. Bao, J.-W. He, and J. J. Zhang, Noncommutative Auslandertheorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8613

Guy Salomon, Orr M. Shalit, and Eli Shamovich, Algebras ofbounded noncommutative analytic functions on subvarieties of thenoncommutative unit ball . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8639

W. Cuellar Carrera, Non-ergodic Banach spaces are near Hilbert . . . . . . . 8691

Alexander Melnikov, Computable topological groups and Pontryaginduality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8709

N. Zhang, On bodies with congruent sections by cones or non-central planes 8739

Venkatesan Guruswami, Chaoping Xing, and Chen Yuan, Subspacedesigns based on algebraic function fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8757

Sami Assaf, Nonsymmetric Macdonald polynomials and a refinement ofKostka–Foulkes polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8777

Huy Quang Nguyen, Sharp Strichartz estimates for water waves systems 8797

Maria Elisa Fernandes, Dimitri Leemans, and Mark Mixer, Anextension of the classification of high rank regular polytopes . . . . . . . . . 8833

Iian B. Smythe, A local Ramsey theory for block sequences . . . . . . . . . . . . . 8859

Christoph Fischbacher, The nonproper dissipative extensions of a dualpair . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8895

Willian Hans Goes Correa, Twisting operator spaces . . . . . . . . . . . . . . . . . . 8921

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R. Pol and P. Zakrzewski, On Borel maps, calibrated σ-ideals, andhomogeneity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8959

Mieczys law Masty lo and Eduardo B. Silva, Interpolation of the measureof noncompactness of bilinear operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8979

Chunna Zeng and Dan Ma, SL(n) covariant vector valuations onpolytopes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8999

Takayuki Kihara and Antonio Montalban, The uniform Martin’sconjecture for many-one degrees . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9025









INDEX TO VOLUME 370 (2018)

Abo, Hirotachi, and Nick Vannieuwenhoven. Most secant varieties of tangential varieties toVeronese varieties are nondefective, 393

Achar, Pramod N., and Simon Riche. Modular perverse sheaves on flag varieties III: Positivityconditions, 447

Ai, Chunrui, Chongying Dong, Xiangyu Jiao, and Li Ren. The irreducible modules and fusion

rules for the parafermion vertex operator algebras, 5963Akopyan, Arseniy V., and Alexander I. Bobenko. Incircular nets and confocal conics, 2825

Alesker, Semyon. See Berg, Astrid

Allcock, Daniel. Spherical space forms revisited, 5561Aluffi, Paolo. Projective duality and a Chern-Mather involution, 1803

Amend, Nils, Angela Berardinelli, J. Matthew Douglass, and Gerhard Rohrle. Restricting in-

variants of unitary reflection groups, 5401An, Yulian, Jann-Long Chern, and Junping Shi. Uniqueness of positive solutions to some coupled

cooperative variational elliptic systems, 5209

Angel, Omer, Richard Balka, Andras Mathe, and Yuval Peres. Restrictions of Holder continuousfunctions, 4223

Angles, Bruno, Federico Pellarin, and Floric Tavares Ribeiro. Anderson-Stark units for Fq [θ],1603

Angst, Jurgen, Viet-Hung Pham, and Guillaume Poly. Universality of the nodal length of bi-

variate random trigonometric polynomials, 8331Anoop, T. V., Vladimir Bobkov, and Sarath Sasi. On the strict monotonicity of the first eigen-

value of the p-Laplacian on annuli, 7181

Aougab, Tarik. Local geometry of the k-curve graph, 2657Aprodu, Marian, Laura Costa, and Rosa Maria Miro-Roig. Rank-two vector bundles on non-

minimal ruled surfaces, 3913

Assaf, Sami. Nonsymmetric Macdonald polynomials and a refinement of Kostka–Foulkes poly-nomials, 8777

Asselah, Amine, Bruno Schapira, and Perla Sousi. Capacity of the range of random walk on Zd,

7627Attouch, Hedy, Alexandre Cabot, and Marc-Olivier Czarnecki. Asymptotic behavior of nonau-

tonomous monotone and subgradient evolution equations, 755Baader, S., P. Feller, L. Lewark, and L. Liechti. On the topological 4-genus of torus knots, 2639

Bachiller, D., F. Cedo, E. Jespers, and J. Okninski. Iterated matched products of finite braces

and simplicity; new solutions of the Yang-Baxter equation, 4881Bahri, Yakine. On the asymptotic stability in the energy space for multi-solitons of the Landau-

Lifshitz equation, 4683

Balister, Paul, Bela Bollobas, Karen Gunderson, Imre Leader, and Mark Walters. Random geo-metric graphs and isometries of normed spaces, 7361

Balka, Richard. See Angel, Omer

Bamberg, John, Cai Heng Li, and Eric Swartz. A classification of finite antiflag-transitive gen-eralized quadrangles, 1551

Bambusi, Dario. Reducibility of 1-d Schrodinger equation with time quasiperiodic unbounded

perturbations. I, 1823Bankovic, Anja, and Christopher J. Leininger. Marked-length-spectral rigidity for flat metrics,

1867

Banuelos, Rodrigo, and Adam Osekowski. Weighted L2 inequalities for square functions, 2391Bao, Y.-H., J.-W. He, and J. J. Zhang. Noncommutative Auslander theorem, 8613Baraglia, David, and Laura P. Schaposnik. Monodromy of rank 2 twisted Hitchin systems and

real character varieties, 5491Barany, Balazs, and Micha l Rams. Dimension maximizing measures for self-affine systems, 553

Baratchart, Laurent, Pei Dang, and Tao Qian. Hardy-Hodge decomposition of vector fields inRn, 2005

Bartholdi, Laurent, and Dzmitry Dudko. Algorithmic aspects of branched coverings IV/V. Ex-

panding maps, 7679Bavard, Juliette, and Alden Walker. The Gromov boundary of the ray graph, 7647

Bayraktar, Erhan, Andrea Cosso, and Huyen Pham. Randomized dynamic programming prin-

ciple and Feynman-Kac representation for optimal control of McKean-Vlasov dynamics,2115

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Beck, Thomas. The shape of the level sets of the first eigenfunction of a class of two-dimensional

Schrodinger operators, 3197

Bedaride, Nicolas, and Jean-Francois Bertazzon. An example of PET. Computation of the Haus-dorff dimension of the aperiodic set, 357

Bellazzini, Jacopo, Marco Ghimenti, Carlo Mercuri, Vitaly Moroz, and Jean Van Schaftingen.

Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces, 8285Bennett, Jonathan, Neal Bez, Taryn C. Flock, Susana Gutierrez, and Marina Iliopoulou. A sharp

k-plane Strichartz inequality for the Schrodinger equation, 5617

Berardinelli, Angela. See Amend, NilsBerg, Astrid, Lukas Parapatits, Franz E. Schuster, and Manuel Weberndorfer, contributor Semyon

Alesker. Log-concavity properties of Minkowski valuations, 5245

Bergunde, Felix, and Lennart Gehrmann. Leading terms of anticyclotomic Stickelberger elementsand p-adic periods, 6297

Berkesch, Christine, Jens Forsgard, and Laura Felicia Matusevich. On the parametric behaviorof A-hypergeometric series, 4089

Bertazzon, Jean-Francois. See Bedaride, Nicolas

Besau, Florian, Monika Ludwig, and Elisabeth M. Werner. Weighted floating bodies and polytopalapproximation, 7129

Bettiol, Renato G., and Benjamin Schmidt. Three-manifolds with many flat planes, 669

Bez, Neal. See Bennett, JonathanBeznea, Lucian, and Iulian Cımpean. Quasimartingales associated to Markov processes, 7761

Bhat, B. V. Rajarama, J. Martin Lindsay, and Mithun Mukherjee. Additive units of product

systems, 2605Bickel, Kelly, Michael Hartz, and John E. McCarthy. A multiplier algebra functional calculus,

8467

i Bigas, Montserrat Teixidor. See Chan, MelodyBillerey, Nicolas, and Ricardo Menares. Strong modularity of reducible Galois representations,

967Blagojevic, Pavle V. M., Florian Frick, Albert Haase, and Gunter M. Ziegler. Topology of the

Grunbaum–Hadwiger–Ramos hyperplane mass partition problem, 6795

Blecher, David P., and Louis Labuschagne. Ueda’s peak set theorem for general von Neumannalgebras, 8215

Bobenko, Alexander I. See Akopyan, Arseniy V.

Bobkov, Vladimir. See Anoop, T. V.Bogachev, Vladimir I., Egor D. Kosov, and Georgii I. Zelenov. Fractional smoothness of distri-

butions of polynomials and a fractional analog of the Hardy–Landau–Littlewood inequality,

4401Bollobas, Bela. See Balister, Paul

Bondesson, Lennart, and Thomas Simon. Stieltjes functions of finite order and hyperbolic mono-tonicity, 4201

Bonheure, Denis, Juraj Foldes, Ederson Moreira dos Santos, Alberto Saldana, and Hugo Tavares.Paths to uniqueness of critical points and applications to partial differential equations, 7081

Bor, Gil, Luis Hernandez Lamoneda, and Pawel Nurowski. The dancing metric, G2-symmetry

and projective rolling, 4433

Borodachov, S. V., D. P. Hardin, A. Reznikov, and E. B. Saff. Optimal discrete measures forRiesz potentials, 6973

Boscaggin, Alberto, Guglielmo Feltrin, and Fabio Zanolin. Positive solutions for super-sublinearindefinite problems: High multiplicity results via coincidence degree, 791

Bouclet, Jean-Marc, and Haruya Mizutani. Uniform resolvent and Strichartz estimates for Schro-

dinger equations with critical singularities, 7293

Bowman, C., and L. Speyer. Kleshchev’s decomposition numbers for diagrammatic Cherednikalgebras, 3551

Boyer, Charles P., Hongnian Huang, Eveline Legendre, and Christina W. Tønnesen-Friedman.Reducibility in Sasakian geometry, 6825

Brumer, Armand, Kenneth Kramer, and Maria Sabitova. Explicit determination of root numbers

of abelian varieties, 2589Bruns, Gregor. Twists of Mukai bundles and the geometry of the level 3 modular variety over

M8, 8359














































Bucur, Dorin, Ilaria Fragala, Bozhidar Velichkov, and Gianmaria Verzini. On the honeycomb

conjecture for a class of minimal convex partitions, 7149

Bui, H. M., and Alexandra Florea. Zeros of quadratic Dirichlet L-functions in the hyperellipticensemble, 8013

Bui, The Anh, Xuan Thinh Duong, and Fu Ken Ly. Maximal function characterizations for new

local Hardy-type spaces on spaces of homogeneous type, 7229Buyukboduk, Kazım. On the Iwasawa theory of CM fields for supersingular primes, 927

Buzano, Reto, and Ben Sharp. Qualitative and quantitative estimates for minimal hypersurfaces

with bounded index and area, 4373Buzzi, Jerome, Sylvain Crovisier, and Todd Fisher. The entropy of C1-diffeomorphisms without

a dominated splitting, 6685

Byszewski, Jakub, and Jakub Konieczny. Sparse generalised polynomials, 8081Byun, Sun-Sig, Mikyoung Lee, and Jihoon Ok. Nondivergence parabolic equations in weighted

variable exponent spaces, 2263Cabot, Alexandre. See Attouch, Hedy

Cai, Li, Yihua Chen, and Yu Liu. Heegner points on modular curves, 3721

Calegari, Frank, and Zoey Guo. Abelian spiders and real cyclotomic integers, 6515Cameron, Peter J., Andrea Lucchini, and Colva M. Roney-Dougal. Generating sets of finite

groups, 6751

Carderi, A., and F. Le Maıtre. Orbit full groups for locally compact groups, 2321Carminati, Carlo, Stefano Isola, and Giulio Tiozzo. Continued fractions with SL(2, Z)-branches:

combinatorics and entropy, 4927

Carrell, S. R., and I. P. Goulden. Contents of partitions and the combinatorics of permutationfactorizations in genus 0, 5051

Carrera, W. Cuellar. Non-ergodic Banach spaces are near Hilbert, 8691

Caruso, Xavier, Agnes David, and Ariane Mezard. Un calcul d’anneaux de deformations poten-tiellement Barsotti–Tate, 6041

Cascini, Paolo, and Luca Tasin. On the Chern numbers of a smooth threefold, 7923Castro, Alejandro J., Salvador Rodrıguez-Lopez, and Wolfgang Staubach. L2-solvability of the

Dirichlet, Neumann and regularity problems for parabolic equations with time-independent

Holder-continuous coefficients, 265Cedo, F. See Bachiller, D.

Chan, Melody, Alberto Lopez Martın, Nathan Pflueger, and Montserrat Teixidor i Bigas. Genera

of Brill-Noether curves and staircase paths in Young tableaux, 3405Chen, Kuo-Chang, and Jun-Shian Hsiao. Strictly convex central configurations of the planar

five-body problem, 1907

Chen, Lina, Xiaochun Rong, and Shicheng Xu. Quantitative volume space form rigidity underlower Ricci curvature bound II, 4509

Chen, Lu, Zhao Liu, Guozhen Lu, and Chunxia Tao. Reverse Stein–Weiss inequalities and ex-istence of their extremal functions, 8429

Chen, Ting. On some determinant and matrix inequalities with a geometrical flavour, 5179Chen, Yihua. See Cai, LiCheng, Chuangxun. Breuil O-windows and π-divisible O-modules, 695

Chern, Jann-Long. See An, Yulian

Cımpean, Iulian. See Beznea, LucianClouatre, Raphael, and Kenneth R. Davidson. Ideals in a multiplier algebra on the ball, 1509

Colombo, Fabrizio, and Jonathan Gantner. Fractional powers of quaternionic operators andKato’s formula using slice hyperholomorphicity, 1045

Conca, Aldo, Martina Juhnke-Kubitzke, and Volkmar Welker. Asymptotic syzygies of Stanley-

Reisner rings of iterated subdivisions, 1661

Cooper, Daryl, Jeffrey Danciger, and Anna Wienhard. Limits of Geometries, 6585Cooper, Jacob W., Tomas Kaiser, Daniel Kral’, and Jonathan A. Noel. Weak regularity and

finitely forcible graph limits, 3833Correa, Willian Hans Goes. Twisting operator spaces, 8921Corso, Alberto, Shiro Goto, Craig Huneke, Claudia Polini, and Bernd Ulrich. Iterated socles and

integral dependence in regular rings, 53Cosso, Andrea. See Bayraktar, Erhan

Costa, Laura. See Aprodu, Marian





















































Cote, Raphael, and Yvan Martel. Multi-travelling waves for the nonlinear Klein-Gordon equa-

tion, 7461

Coutand, Daniel, and Steve Shkoller. Regularity of the velocity field for Euler vortex patch evo-lution, 3689

Crawley-Boevey, William. Classification of modules for infinite-dimensional string algebras, 3289

Crisp, Tyrone. Frobenius reciprocity and the Haagerup tensor product, 6955Crovisier, Sylvain. See Buzzi, Jerome

Cruz-Uribe, David, and Peter Hasto. Extrapolation and interpolation in generalized Orlicz spaces,

4323Czarnecki, Marc-Olivier. See Attouch, Hedy

Dahl, Alexander, and Youness Lamzouri. The distribution of class numbers in a special family

of real quadratic fields, 6331Danciger, Jeffrey. See Cooper, Daryl

Dang, Pei. See Baratchart, LaurentD’Aquino, P., A. Fornasiero, and G. Terzo. Generic solutions of equations with iterated expo-

nentials, 1393

David, Agnes. See Caruso, XavierDavidson, Kenneth R. See Clouatre, Raphael

De Lellis, Camillo, Emanuele Spadaro, and Luca Spolaor. Regularity theory for 2-dimensional

almost minimal currents I: Lipschitz approximation, 1783De Stefani, Alessandro, Luis Nunez-Betancourt, and Felipe Perez. On the existence of F -thresh-

olds and related limits, 6629

Deeley, Robin J., and Karen R. Strung. Nuclear dimension and classification of C∗-algebrasassociated to Smale spaces, 3467

Delbourgo, Daniel, and Antonio Lei. Congruences modulo p between ρ-twisted Hasse-Weil L-

values, 8047Deng, Guotai, Chuntai Liu, and Sze-Man Ngai. Topological properties of a class of self-affine

tiles in R3, 1321Deng, Yuxing, and Xiaohua Zhu. Asymptotic behavior of positively curved steady Ricci solitons,

2855

Deo, Shaunak V. On the eigenvariety of Hilbert modular forms at classical parallel weight onepoints with dihedral projective image, 3885

Dermenjian, Aram, Christophe Hohlweg, and Vincent Pilaud. The facial weak order and its

lattice quotients, 1469Di Rocco, Sandra, Kelly Jabbusch, and Gregory G. Smith. Toric vector bundles and parliaments

of polytopes, 7715

Ding, Qi. A rigidity theorem on the second fundamental form for self-shrinkers, 8311Dinh, Tien-Cuong, and Viet-Anh Nguyen. Large deviation principle for some beta ensembles,

6565Do, Norman, and Paul Norbury. Pruned Hurwitz numbers, 3053Dong, Chongying. See Ai, ChunruiDong, Hongjie, and Doyoon Kim. On Lp-estimates for elliptic and parabolic equations with Ap

weights, 5081

Dor-On, Adam. Isomorphisms of tensor algebras arising from weighted partial systems, 3507

Douglass, J. Matthew. See Amend, NilsDoyle, John R. Preperiodic portraits for unicritical polynomials over a rational function field,

3265Drutu, Cornelia, Shahar Mozes, and Mark Sapir. Corrigendum to “Divergence in lattices in

semisimple Lie groups and graphs of groups”, 749

Dudko, Dzmitry. See Bartholdi, Laurent

Duong, Xuan Thinh. See Bui, The AnhDymek, Aurelia, Stanis law Kasjan, Joanna Ku laga-Przymus, and Mariusz Lemanczyk. B-free

sets and dynamics, 5425Eldredge, Nathaniel, Leonard Gross, and Laurent Saloff-Coste. Strong hypercontractivity and

logarithmic Sobolev inequalities on stratified complex Lie groups, 6651

Elhamdadi, Mohamed, Mustafa Hajij, and Masahico Saito. Twist regions and coefficients sta-bility of the colored Jones polynomial, 5155

Epstein, Neil, and Melvin Hochster. Continuous closure, axes closure, and natural closure, 3315














































Eskew, Monroe, and Yair Hayut. On the consistency of local and global versions of Chang’s

Conjecture, 2879

Estevez, Gabriela, and Edson de Faria. Real bounds and quasisymmetric rigidity of multicriticalcircle maps, 5583

Fang, Ming, Otto Kerner, and Kunio Yamagata. Canonical bimodules and dominant dimension,

847Fantini, Lorenzo. Normalized Berkovich spaces and surface singularities, 7815

de Faria, Edson. See Estevez, Gabriela

Fassler, Katrin, and Tuomas Orponen. Curve packing and modulus estimates, 4909Faye, Gregory, and Arnd Scheel. Center manifolds without a phase space, 5843

Feller, P. See Baader, S.

Feltrin, Guglielmo. See Boscaggin, AlbertoFernandes, Maria Elisa, Dimitri Leemans, and Mark Mixer. An extension of the classification of

high rank regular polytopes, 8833Fima, Pierre, and Emmanuel Germain. The KK-theory of fundamental C*-algebras, 7051

Fischbacher, Christoph. The nonproper dissipative extensions of a dual pair, 8895

Fisher, Todd. See Buzzi, JeromeFishman, Lior, Dmitry Kleinbock, Keith Merrill, and David Simmons. Intrinsic Diophantine

approximation on manifolds: General theory, 577

Fite, Francesc, and Xavier Guitart. Fields of definition of elliptic k-curves and the realizabilityof all genus 2 Sato–Tate groups over a number field, 4623

Flock, Taryn C. See Bennett, Jonathan

Florea, Alexandra. See Bui, H. M.Foldes, Juraj. See Bonheure, Denis

Fonseca, Irene. See Maso, Gianni Dal

Fornasiero, A. See D’Aquino, P.Forsgard, Jens. See Berkesch, Christine

Fragala, Ilaria. See Bucur, DorinFrank, Rupert L. Eigenvalue bounds for Schrodinger operators with complex potentials. III, 219

Freeman, D., E. Odell, B. Sarı, and B. Zheng. On spreading sequences and asymptotic structures,

6933Freire, Ricardo, and Victor Vargas. Equilibrium states and zero temperature limit on topologically

transitive countable Markov shifts, 8451

Frenkel, Peter E. Convergence of graphs with intermediate density, 3363Frick, Florian. See Blagojevic, Pavle V. M.

Friz, Peter K., and David J. Promel. Rough path metrics on a Besov–Nikolskii-type scale, 8521

Fujita, Yasutsugu, and Takafumi Miyazaki. The regularity of Diophantine quadruples, 3803Fulman, Jason, and Robert Guralnick. Derangements in finite classical groups for actions re-

lated to extension field and imprimitive subgroups and the solution of the Boston–Shalevconjecture, 4601

Gantner, Jonathan. See Colombo, FabrizioGarcıa, Gaston Andres, and Javier A. Gutierrez. Quantum subgroups of simple twisted quantum

groups at roots of one, 3609

Garcia-Fritz, Natalia. Sequences of powers with second differences equal to two and hyperbolicity,

3441Garcıa-Prada, Oscar, Ana Peon-Nieto, and S. Ramanan. Higgs bundles for real groups and the

Hitchin–Kostant–Rallis section, 2907Garity, Dennis J., Dusan D. Repovs, and David G. Wright. Contractible 3-manifolds and the

double 3-space property, 2039

Gay, David T., and Joan E. Licata. Morse structures on open books, 3771

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VOLUME 370 2018

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

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CONTENTS

Vol. 370, No. 1 Whole No. 992 January 2018

L. Golinskii, M. Malamud, and L. Oridoroga, Radial positive definitefunctions and Schoenberg matrices with negative eigenvalues . . . . . . . . . 1

P. Hazard, M. Martens, and C. Tresser, Infinitely many moduli ofstability at the dissipative boundary of chaos . . . . . . . . . . . . . . . . . . . . . . . . . 27

Alberto Corso, Shiro Goto, Craig Huneke, Claudia Polini,and Bernd Ulrich, Iterated socles and integral dependence in regularrings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53

Matteo Longo and Zhengyu Mao, Kohnen’s formula and a conjecture ofDarmon and Tornarıa . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73

Gabor Szabo, Strongly self-absorbing C∗-dynamical systems . . . . . . . . . . . . . 99

Ilia Itenberg, Grigory Mikhalkin, and Johannes Rau, Rational quinticsin the real plane . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 131

Rui Han, Dry Ten Martini problem for the non-self-dual extended Harper’smodel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197

Rupert L. Frank, Eigenvalue bounds for Schrodinger operators withcomplex potentials. III . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219

Ya-Qing Hu, Hua-Lin Huang, and Chi Zhang, Zn2 -graded quasialgebras

and the Hurwitz problem on compositions of quadratic forms . . . . . . . . . 241

Alejandro J. Castro, Salvador Rodrıguez-Lopez, and WolfgangStaubach, L2-solvability of the Dirichlet, Neumann and regularityproblems for parabolic equations with time-independent Holder-continuous coefficients . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 265

Julien Roques, On the algebraic relations between Mahler functions . . . . . 321

Nicolas Bedaride and Jean-Francois Bertazzon, An example of PET.Computation of the Hausdorff dimension of the aperiodic set . . . . . . . . . 357

Hirotachi Abo and Nick Vannieuwenhoven, Most secant varieties oftangential varieties to Veronese varieties are nondefective . . . . . . . . . . . . . 393

Goncalo Tabuada and Michel Van den Bergh, The Gysin triangle vialocalization and A1-homotopy invariance . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 421

Pramod N. Achar and Simon Riche, Modular perverse sheaves on flagvarieties III: Positivity conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 447

Alexander Gorodnik and Pankaj Vishe, Diophantine approximation forproducts of linear maps — logarithmic improvements . . . . . . . . . . . . . . . . . 487

Joseph W. Iverson, Frames generated by compact group actions . . . . . . . . 509

Balazs Barany and Micha l Rams, Dimension maximizing measures forself-affine systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 553

Lior Fishman, Dmitry Kleinbock, Keith Merrill, and DavidSimmons, Intrinsic Diophantine approximation on manifolds: Generaltheory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 577

Alvaro Pelayo and Fraydoun Rezakhanlou, Poincare-Birkhoff Theoremsin random dynamics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 601

Paul Jung, Levy-Khintchine random matrices and the Poisson weightedinfinite skeleton tree . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 641









































Renato G. Bettiol and Benjamin Schmidt, Three-manifolds with manyflat planes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 669

Chuangxun Cheng, Breuil O-windows and π-divisible O-modules . . . . . . . . 695

Lutz Mattner and Jona Schulz, On normal approximations to symmetrichypergeometric laws . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 727

Cornelia Drutu, Shahar Mozes, and Mark Sapir, Corrigendum to“Divergence in lattices in semisimple Lie groups and graphs of groups” 749

Vol. 370, No. 2 Whole No. 993 February 2018

Hedy Attouch, Alexandre Cabot, and Marc-Olivier Czarnecki,Asymptotic behavior of nonautonomous monotone and subgradientevolution equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 755

Alberto Boscaggin, Guglielmo Feltrin, and Fabio Zanolin, Positivesolutions for super-sublinear indefinite problems: High multiplicityresults via coincidence degree . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 791

Ming Fang, Otto Kerner, and Kunio Yamagata, Canonical bimodulesand dominant dimension . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 847

Inwon Kim and Norbert Pozar, Porous medium equation to Hele-Shawflow with general initial density . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 873

Daniel Kohen and Ariel Pacetti, contributor Marc Masdeu, OnHeegner points for primes of additive reduction ramifying in the basefield . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 911

Kazım Buyukboduk, On the Iwasawa theory of CM fields for supersingularprimes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 927

Nicolas Billerey and Ricardo Menares, Strong modularity of reducibleGalois representations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 967

Kay Rulling and Shuji Saito, Higher Chow groups with modulus andrelative Milnor K-theory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 987

Fabrizio Colombo and Jonathan Gantner, Fractional powers of quater-nionic operators and Kato’s formula using slice hyperholomorphicity . . 1045

Shuichiro Takeda and Aaron Wood, Hecke algebra correspondences forthe metaplectic group . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1101

Man Chun Leung, Refined estimates for simple blow-ups of the scalarcurvature equation on Sn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1123

Haisheng Li and Qiang Mu, Heisenberg VOAs over fields of primecharacteristic and their representations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1159

Martin Meurer, Integral Menger curvature and rectifiability of n-dimensional Borel sets in Euclidean N -space . . . . . . . . . . . . . . . . . . . . . . . . . 1185

Marc Sauerwein, Koszul duality and Soergel bimodules for dihedral groups 1251

Hoel Queffelec and David E. V. Rose, Sutured annular Khovanov-Rozansky homology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1285

Guotai Deng, Chuntai Liu, and Sze-Man Ngai, Topological propertiesof a class of self-affine tiles in R3 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1321

Theodore A. Slaman and Mariya I. Soskova, The ∆02 Turing degrees:

Automorphisms and Definability . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1351











































Huabin Ge, Combinatorial Calabi flows on surfaces . . . . . . . . . . . . . . . . . . . . . . 1377

P. D’Aquino, A. Fornasiero, and G. Terzo, Generic solutions ofequations with iterated exponentials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1393

Yael Karshon and Fabian Ziltener, Hamiltonian group actions on exactsymplectic manifolds with proper momentum maps are standard . . . . . 1409

Nathan Reading and David E. Speyer, Cambrian frameworks for clusteralgebras of affine type . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1429

Aram Dermenjian, Christophe Hohlweg, and Vincent Pilaud, Thefacial weak order and its lattice quotients . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1469

Vol. 370, No. 3 Whole No. 994 March 2018

Raphael Clouatre and Kenneth R. Davidson, Ideals in a multiplieralgebra on the ball . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1509

Gabino Gonzalez-Diez and Sebastian Reyes-Carocca, Families ofRiemann surfaces, uniformization and arithmeticity . . . . . . . . . . . . . . . . . . 1529

John Bamberg, Cai Heng Li, and Eric Swartz, A classification of finiteantiflag-transitive generalized quadrangles . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1551

Bruno Angles, Federico Pellarin, and Floric Tavares Ribeiro,Anderson-Stark units for Fq[θ] . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1603

Mieczys law Masty lo and Luis Rodrıguez-Piazza, Convergence almosteverywhere of multiple Fourier series over cubes . . . . . . . . . . . . . . . . . . . . . . 1629

Aldo Conca, Martina Juhnke-Kubitzke, and Volkmar Welker,Asymptotic syzygies of Stanley-Reisner rings of iterated subdivisions . 1661

Yuecheng Zhu, Compactification of the moduli of polarized abelian varietiesand mirror symmetry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1693

Pace P. Nielsen and Janez Ster, Connections between unit-regularity,regularity, cleanness, and strong cleanness of elements and rings . . . . . . 1759

Camillo De Lellis, Emanuele Spadaro, and Luca Spolaor, Regularitytheory for 2-dimensional almost minimal currents I: Lipschitzapproximation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1783

Paolo Aluffi, Projective duality and a Chern-Mather involution . . . . . . . . . . 1803

Dario Bambusi, Reducibility of 1-d Schrodinger equation with timequasiperiodic unbounded perturbations. I . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1823

Anja Bankovic and Christopher J. Leininger, Marked-length-spectralrigidity for flat metrics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1867

Roberto Pirisi, Cohomological invariants of algebraic stacks . . . . . . . . . . . . . 1885

Kuo-Chang Chen and Jun-Shian Hsiao, Strictly convex centralconfigurations of the planar five-body problem . . . . . . . . . . . . . . . . . . . . . . . 1907

King Fai Lai, Ignazio Longhi, Ki-Seng Tan, and Fabien Trihan,Pontryagin duality for Iwasawa modules and abelian varieties . . . . . . . . 1925

Weihua Liu, Extended de Finetti theorems for boolean independence andmonotone independence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1959

Laurent Baratchart, Pei Dang, and Tao Qian, Hardy-Hodgedecomposition of vector fields in Rn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2005








































Naohiko Kasuya and Masamichi Takase, Knots and links of complextangents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2023

Dennis J. Garity, Dusan D. Repovs, and David G. Wright,Contractible 3-manifolds and the double 3-space property . . . . . . . . . . . . 2039

Enrico Le Donne and Sebastiano Nicolussi Golo, Regularity propertiesof spheres in homogeneous groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2057

Peter Johnson and Goran Peskir, Sequential testing problems for Besselprocesses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2085

Erhan Bayraktar, Andrea Cosso, and Huyen Pham, Randomizeddynamic programming principle and Feynman-Kac representation foroptimal control of McKean-Vlasov dynamics . . . . . . . . . . . . . . . . . . . . . . . . . 2115

Michael Hartz and Martino Lupini, The classification problem foroperator algebraic varieties and their multiplier algebras . . . . . . . . . . . . . . 2161

Itaı Ben Yaacov, Tomas Ibarlucıa, and Todor Tsankov, Eberleinoligomorphic groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2181

Olivier Le Gal, Fernando Sanz, and Patrick Speissegger, Trajectoriesin interlaced integral pencils of 3-dimensional analytic vector fields areo-minimal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2211

Kefeng Liu, Hongwei Xu, Fei Ye, and Entao Zhao, The extension andconvergence of mean curvature flow in higher codimension . . . . . . . . . . . . 2231

Vol. 370, No. 4 Whole No. 995 April 2018

Sun-Sig Byun, Mikyoung Lee, and Jihoon Ok, Nondivergence parabolicequations in weighted variable exponent spaces . . . . . . . . . . . . . . . . . . . . . . . 2263

Atsushi Noma, Projective varieties with nonbirational linear projections andapplications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2299

A. Carderi and F. Le Maıtre, Orbit full groups for locally compact groups 2321

Robert McRae and Jinwei Yang, Vertex algebraic intertwining operators

among generalized Verma modules for sl(2,C) . . . . . . . . . . . . . . . . . . . . . . . . 2351

Rodrigo Banuelos and Adam Osekowski, Weighted L2 inequalities forsquare functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2391

Yasushi Mizusawa, Tame pro-2 Galois groups and the basic Z2-extension 2423

Kai-Wen Lan, Compactifications of splitting models of PEL-type Shimuravarieties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2463

Roman Shvydkoy, Homogeneous solutions to the 3D Euler system . . . . . . . 2517

Nathan Kaplan and Ian Petrow, Traces of Hecke operators and refinedweight enumerators of Reed-Solomon codes . . . . . . . . . . . . . . . . . . . . . . . . . . . 2537

Liping Li, Homological degrees of representations of categories with shiftfunctors . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2563

Armand Brumer, Kenneth Kramer, and Maria Sabitova, Explicitdetermination of root numbers of abelian varieties . . . . . . . . . . . . . . . . . . . . 2589

B. V. Rajarama Bhat, J. Martin Lindsay, and Mithun Mukherjee,Additive units of product systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2605








































S. Baader, P. Feller, L. Lewark, and L. Liechti, On the topological 4-genus of torus knots . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2639

Tarik Aougab, Local geometry of the k-curve graph . . . . . . . . . . . . . . . . . . . . . . 2657

Antonio Vitolo, Removable singularities for degenerate elliptic equationswithout conditions on the growth of the solution . . . . . . . . . . . . . . . . . . . . . 2679

Arik Wilbert, Topology of two-row Springer fibers for the even orthogonaland symplectic group . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2707

Satoshi Naito, Fumihiko Nomoto, and Daisuke Sagaki, Specializationof nonsymmetric Macdonald polynomials at t = ∞ and Demazuresubmodules of level-zero extremal weight modules . . . . . . . . . . . . . . . . . . . . 2739

Gianni Dal Maso, Irene Fonseca, and Giovanni Leoni, Asymptoticanalysis of second order nonlocal Cahn-Hilliard-type functionals . . . . . . 2785

Arseniy V. Akopyan and Alexander I. Bobenko, Incircular nets andconfocal conics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2825

Yuxing Deng and Xiaohua Zhu, Asymptotic behavior of positively curvedsteady Ricci solitons . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2855

Monroe Eskew and Yair Hayut, On the consistency of local and globalversions of Chang’s Conjecture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2879

Oscar Garcıa-Prada, Ana Peon-Nieto, and S. Ramanan, Higgs bundlesfor real groups and the Hitchin–Kostant–Rallis section . . . . . . . . . . . . . . . 2907

D. S. Graca, C. Rojas, and N. Zhong, Computing geometric Lorenzattractors with arbitrary precision . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2955

Apoorva Khare, Generalized nil-Coxeter algebras over discrete complexreflection groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 2971

Jens Hornbostel, contributor Marcus Zibrowius, Some comments onmotivic nilpotence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3001

Vol. 370, No. 5 Whole No. 996 May 2018

Daniel Groves and Jason Fox Manning, Dehn fillings and elementarysplittings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3017

Norman Do and Paul Norbury, Pruned Hurwitz numbers . . . . . . . . . . . . . 3053

Ralf Schmidt, Packet structure and paramodular forms . . . . . . . . . . . . . . . . . . 3085

Burton Randol, Hardy-type results on the average of the lattice point errorterm over long intervals . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3113

Robert Granger, Thorsten Kleinjung, and Jens Zumbragel, On thediscrete logarithm problem in finite fields of fixed characteristic . . . . . . . 3129

Thomas Polstra, Uniform bounds in F-finite rings and lower semi-continuityof the F-signature . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3147

Takahiro Kitayama, Masanori Morishita, Ryoto Tange, and YujiTerashima, On certain L-functions for deformations of knot grouprepresentations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3171

Thomas Beck, The shape of the level sets of the first eigenfunction of a classof two-dimensional Schrodinger operators . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3197

Reed Leon Gordon-Sarney, Totaro’s question for tori of low rank . . . . . . 3245










































John R. Doyle, Preperiodic portraits for unicritical polynomials over arational function field . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3265

William Crawley-Boevey, Classification of modules for infinite-dimensional string algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3289

Neil Epstein and Melvin Hochster, Continuous closure, axes closure, andnatural closure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3315

Peter E. Frenkel, Convergence of graphs with intermediate density . . . . . . 3363

Melody Chan, Alberto Lopez Martın, Nathan Pflueger, and Mont-serrat Teixidor i Bigas, Genera of Brill-Noether curves and staircasepaths in Young tableaux . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3405

Natalia Garcia-Fritz, Sequences of powers with second differences equal totwo and hyperbolicity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3441

Robin J. Deeley and Karen R. Strung, Nuclear dimension andclassification of C∗-algebras associated to Smale spaces . . . . . . . . . . . . . . . 3467

Edward F. Schaefer, Explicit descent for Jacobians of prime power cycliccovers of the projective line . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3487

Adam Dor-On, Isomorphisms of tensor algebras arising from weightedpartial systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3507

C. Bowman and L. Speyer, Kleshchev’s decomposition numbers fordiagrammatic Cherednik algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3551

Joel Specter, The crystalline period of a height one p-adic dynamical system 3591

Gaston Andres Garcıa and Javier A. Gutierrez, Quantum subgroups ofsimple twisted quantum groups at roots of one . . . . . . . . . . . . . . . . . . . . . . . 3609

Xiangdong Ye and Tao Yu, Sensitivity, proximal extension and higherorder almost automorphy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3639

Andrei Jaikin-Zapirain and Joan Tent, Finite 2-groups with odd numberof conjugacy classes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3663

Daniel Coutand and Steve Shkoller, Regularity of the velocity field forEuler vortex patch evolution . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3689

Li Cai, Yihua Chen, and Yu Liu, Heegner points on modular curves . . . 3721

Mark McKee, Haiwei Sun, and Yangbo Ye, Improved subconvexitybounds for GL(2)×GL(3) and GL(3) L-functions by weighted stationaryphase . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3745

Vol. 370, No. 6 Whole No. 997 June 2018

David T. Gay and Joan E. Licata, Morse structures on open books . . . . 3771

Yasutsugu Fujita and Takafumi Miyazaki, The regularity of Diophantinequadruples . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3803

Jacob W. Cooper, Tomas Kaiser, Daniel Kral’, and Jonathan A.Noel, Weak regularity and finitely forcible graph limits . . . . . . . . . . . . . . 3833

Bao Qin Li, On the number of zeros and poles of Dirichlet series . . . . . . . . . 3865

Shaunak V. Deo, On the eigenvariety of Hilbert modular forms at classicalparallel weight one points with dihedral projective image . . . . . . . . . . . . . 3885








































Marian Aprodu, Laura Costa, and Rosa Maria Miro-Roig, Rank-twovector bundles on non-minimal ruled surfaces . . . . . . . . . . . . . . . . . . . . . . . . 3913

Lukasz Kosinski and W lodzimierz Zwonek, Nevanlinna-Pick interpola-tion problem in the ball . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3931

Remus Radu and Raluca Tanase, Semi-parabolic tools for hyperbolicHenon maps and continuity of Julia sets in C2 . . . . . . . . . . . . . . . . . . . . . . . 3949

Aaron Kunert and Claus Scheiderer, Extreme positive ternary sextics 3997

Wenbo Niu, Mather–Jacobian singularities under generic linkage . . . . . . . . . 4015

J. Haglund, J. B. Remmel, and A. T. Wilson, The Delta Conjecture 4029

Guhan Venkat, Darmon cycles and the Kohnen-Shintani lifting . . . . . . . . . . 4059

Christine Berkesch, Jens Forsgard, and Laura Felicia Matusevich,On the parametric behavior of A-hypergeometric series . . . . . . . . . . . . . . . 4089

Christopher Lopez, Ambient obstruction flow . . . . . . . . . . . . . . . . . . . . . . . . . . . 4111

Ilaria Mondello, An Obata singular theorem for stratified spaces . . . . . . . . . 4147

Ivan C. H. Ip, On tensor products of positive representations of split realquantum Borel subalgebra Uqq(bR) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4177

Lennart Bondesson and Thomas Simon, Stieltjes functions of finite orderand hyperbolic monotonicity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4201

Omer Angel, Richard Balka, Andras Mathe, and Yuval Peres,Restrictions of Holder continuous functions . . . . . . . . . . . . . . . . . . . . . . . . . . . 4223

Jonas Hirsch, Examples of holomorphic functions vanishing to infinite orderat the boundary . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4249

Sigrid Grepstad and Nir Lev, Riesz bases, Meyer’s quasicrystals, andbounded remainder sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4273

Alexander J. Izzo, Gleason parts and point derivations for uniform algebraswith dense invertible group . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4299

David Cruz-Uribe and Peter Hasto, Extrapolation and interpolation ingeneralized Orlicz spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4323

Apostolos Giannopoulos and Alexander Koldobsky, Volume differenceinequalities . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4351

Reto Buzano and Ben Sharp, Qualitative and quantitative estimates forminimal hypersurfaces with bounded index and area . . . . . . . . . . . . . . . . . 4373

Vladimir I. Bogachev, Egor D. Kosov, and Georgii I. Zelenov,Fractional smoothness of distributions of polynomials and a fractionalanalog of the Hardy–Landau–Littlewood inequality . . . . . . . . . . . . . . . . . . . 4401

Gil Bor, Luis Hernandez Lamoneda, and Pawel Nurowski, Thedancing metric, G2-symmetry and projective rolling . . . . . . . . . . . . . . . . . . 4433

Noam Greenberg, Dan Turetsky, and Linda Brown Westrick, Findingbases of uncountable free abelian groups is usually difficult . . . . . . . . . . . 4483

Lina Chen, Xiaochun Rong, and Shicheng Xu, Quantitative volumespace form rigidity under lower Ricci curvature bound II . . . . . . . . . . . . . 4509

Vol. 370, No. 7 Whole No. 998 July 2018

Daisuke Shiraishi, A random walk on a non-intersecting two-sided randomwalk trace is subdiffusive in low dimensions . . . . . . . . . . . . . . . . . . . . . . . . . . 4525









































Luc Hillairet, Victor Kalvin, and Alexey Kokotov, Moduli spaces ofmeromorphic functions and determinant of the Laplacian . . . . . . . . . . . . . 4559

Jason Fulman and Robert Guralnick, Derangements in finite classicalgroups for actions related to extension field and imprimitive subgroupsand the solution of the Boston–Shalev conjecture . . . . . . . . . . . . . . . . . . . . . 4601

Francesc Fite and Xavier Guitart, Fields of definition of elliptic k-curvesand the realizability of all genus 2 Sato–Tate groups over a number field 4623

Lifan Guan and Weisheng Wu, Bounded orbits of certain diagonalizableflows on SLn(R)/SLn(Z) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4661

Yakine Bahri, On the asymptotic stability in the energy space for multi-solitons of the Landau-Lifshitz equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4683

Gerard Misio lek and Tsuyoshi Yoneda, Continuity of the solution mapof the Euler equations in Holder spaces and weak norm inflation in Besovspaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4709

Allen Moy and Goran Muic, On existence of generic cusp forms onsemisimple algebraic groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4731

Ariel Rapaport, On self-affine measures with equal Hausdorff and Lyapunovdimensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4759

Marcel Jackson and Edmond W. H. Lee, Monoid varieties with extremeproperties . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4785

Rosanna Laking, Mike Prest, and Gena Puninski, Krull–Gabrieldimension of domestic string algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4813

Tobias Rossmann, Computing local zeta functions of groups, algebras, andmodules . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4841

D. Bachiller, F. Cedo, E. Jespers, and J. Okninski, Iterated matchedproducts of finite braces and simplicity; new solutions of the Yang-Baxterequation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4881

Katrin Fassler and Tuomas Orponen, Curve packing and modulusestimates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4909

Carlo Carminati, Stefano Isola, and Giulio Tiozzo, Continued fractionswith SL(2, Z)-branches: combinatorics and entropy . . . . . . . . . . . . . . . . . . . 4927

Alan Haynes, Henna Koivusalo, and James Walton, Perfectly orderedquasicrystals and the Littlewood conjecture . . . . . . . . . . . . . . . . . . . . . . . . . . 4975

Riccardo Ghiloni and Vincenzo Recupero, Slice regular semigroups . . 4993

Takahiro Oba, Higher-dimensional contact manifolds with infinitely manyStein fillings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5033

S. R. Carrell and I. P. Goulden, Contents of partitions and thecombinatorics of permutation factorizations in genus 0 . . . . . . . . . . . . . . . 5051

Hongjie Dong and Doyoon Kim, On Lp-estimates for elliptic andparabolic equations with Ap weights . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5081

Kevin Kordek, The topology of the zero locus of a genus 2 theta function 5131

Mohamed Elhamdadi, Mustafa Hajij, and Masahico Saito, Twistregions and coefficients stability of the colored Jones polynomial . . . . . . 5155

Ting Chen, On some determinant and matrix inequalities with a geometricalflavour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5179

Yulian An, Jann-Long Chern, and Junping Shi, Uniqueness of positivesolutions to some coupled cooperative variational elliptic systems . . . . . 5209
















































Astrid Berg, Lukas Parapatits, Franz E. Schuster, and Manuel We-berndorfer, contributor Semyon Alesker, Log-concavity propertiesof Minkowski valuations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5245

Vol. 370, No. 8 Whole No. 999 August 2018

Alastair J. Litterick and Adam R. Thomas, Complete reducibility ingood characteristic . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5279

Yuchen Liu, Hyperbolicity of cyclic covers and complements . . . . . . . . . . . . . 5341

Artie Prendergast-Smith, A special Cayley octad . . . . . . . . . . . . . . . . . . . . . . 5359

Xuanyu Pan, Spaces of conics on low degree complete intersections . . . . . . . 5381

Nils Amend, Angela Berardinelli, J. Matthew Douglass, and Ger-hard Rohrle, Restricting invariants of unitary reflection groups . . . . . 5401

Aurelia Dymek, Stanis law Kasjan, Joanna Ku laga-Przymus,and Mariusz Lemanczyk, B-free sets and dynamics . . . . . . . . . . . . . . . 5425

David Baraglia and Laura P. Schaposnik, Monodromy of rank 2 twistedHitchin systems and real character varieties . . . . . . . . . . . . . . . . . . . . . . . . . . 5491

Bingyu Xia, Hilbert scheme of twisted cubics as a simple wall-crossing . . . 5535

Daniel Allcock, Spherical space forms revisited . . . . . . . . . . . . . . . . . . . . . . . . . . 5561

Gabriela Estevez and Edson de Faria, Real bounds and quasisymmetricrigidity of multicritical circle maps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5583

Jonathan Bennett, Neal Bez, Taryn C. Flock, Susana Gutierrez,and Marina Iliopoulou, A sharp k-plane Strichartz inequality for theSchrodinger equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5617

Nicholas W. M. Touikan, Detecting geometric splittings in finitelypresented groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5635

Philippe Nadeau, On the length of fully commutative elements . . . . . . . . . . 5705

Ping Wong Ng, Leonel Robert, and Paul Skoufranis, Majorization inC*-algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5725

David Nicolas Nenning and Armin Rainer, On groups of Holderdiffeomorphisms and their regularity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5761

Giuseppe Da Prato, Alessandra Lunardi, and Luciano Tubaro,Malliavin calculus for non-Gaussian differentiable measures and surfacemeasures in Hilbert spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5795

Gregory Faye and Arnd Scheel, Center manifolds without a phase space 5843

Pengzi Miao and Naqing Xie, On compact 3-manifolds with nonnegativescalar curvature with a CMC boundary component . . . . . . . . . . . . . . . . . . . 5887

Dillon Mayhew, Mike Newman, and Geoff Whittle, Yes, the “missingaxiom” of matroid theory is lost forever . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5907

Benjamin Harris, Wave front sets of reductive Lie group representations II 5931

Chunrui Ai, Chongying Dong, Xiangyu Jiao, and Li Ren,The irreducible modules and fusion rules for the parafermion vertexoperator algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5963

Avner Segal, The degenerate Eisenstein series attached to the Heisenbergparabolic subgroups of quasi-split forms of Spin8 . . . . . . . . . . . . . . . . . . . . . 5983





































Vol. 370, No. 9 Whole No. 1000 September 2018

Xavier Caruso, Agnes David, and Ariane Mezard, Un calcul d’anneauxde deformations potentiellement Barsotti–Tate . . . . . . . . . . . . . . . . . . . . . . . 6041

Andrey Trepalin, Quotients of del Pezzo surfaces of high degree . . . . . . . . . 6097

Jae-Hoon Kwon, Combinatorial extension of stable branching rules forclassical groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6125

Nicolas Sirolli and Gonzalo Tornarıa, An explicit Waldspurger formulafor Hilbert modular forms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6153

Katherine E. Stange, The Apollonian structure of Bianchi groups . . . . . . . 6169

Francesco Pappalardi, Min Sha, Igor E. Shparlinski, and CameronL. Stewart, On multiplicatively dependent vectors of algebraicnumbers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6221

Kazuki Morimoto, On the irreducibility of global descents for even unitarygroups and its applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6245

Felix Bergunde and Lennart Gehrmann, Leading terms of anticyclo-tomic Stickelberger elements and p-adic periods . . . . . . . . . . . . . . . . . . . . . . 6297

Alexander Dahl and Youness Lamzouri, The distribution of classnumbers in a special family of real quadratic fields . . . . . . . . . . . . . . . . . . . 6331

Daniel Monclair, Differentiable conjugacy for groups of area-preservingcircle diffeomorphisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6357

Wade Hindes, Average Zsigmondy sets, dynamical Galois groups, and theKodaira-Spencer map . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6391

Rufei Ren, Daqing Wan, Liang Xiao, and Myungjun Yu, Slopes forhigher rank Artin–Schreier–Witt towers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6411

Yifan Yang, Special values of hypergeometric functions and periods of CMelliptic curves . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6433

Giovanni Rosso, Derivative of the standard p-adic L-function associatedwith a Siegel form . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6469

Adrian Zahariuc, Deformation of quintic threefolds to the chordal variety 6493

Frank Calegari and Zoey Guo, Abelian spiders and real cyclotomicintegers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6515

Agata Smoktunowicz, On Engel groups, nilpotent groups, rings, braces andthe Yang-Baxter equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6535

Tien-Cuong Dinh and Viet-Anh Nguyen, Large deviation principle forsome beta ensembles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6565

Daryl Cooper, Jeffrey Danciger, and Anna Wienhard, Limits ofGeometries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6585

Alessandro De Stefani, Luis Nunez-Betancourt, and Felipe Perez,On the existence of F -thresholds and related limits . . . . . . . . . . . . . . . . . . . 6629

Nathaniel Eldredge, Leonard Gross, and Laurent Saloff-Coste,Strong hypercontractivity and logarithmic Sobolev inequalities onstratified complex Lie groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6651

Jerome Buzzi, Sylvain Crovisier, and Todd Fisher, The entropy ofC1-diffeomorphisms without a dominated splitting . . . . . . . . . . . . . . . . . . . 6685

Yi Zhu, A1-equivalence of zero cycles on surfaces . . . . . . . . . . . . . . . . . . . . . . . . . 6735

Peter J. Cameron, Andrea Lucchini, and Colva M. Roney-Dougal,Generating sets of finite groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6751











































Chun Yin Hui, On the rationality of certain type A Galois representations 6771

Vol. 370, No. 10 Whole No. 1001 October 2018

Pavle V. M. Blagojevic, Florian Frick, Albert Haase, and GunterM. Ziegler, Topology of the Grunbaum–Hadwiger–Ramos hyperplanemass partition problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6795

Charles P. Boyer, Hongnian Huang, Eveline Legendre, and ChristinaW. Tønnesen-Friedman, Reducibility in Sasakian geometry . . . . . . . 6825

Diogo Oliveira e Silva and Rene Quilodran, On extremizers forStrichartz estimates for higher order Schrodinger equations . . . . . . . . . . . 6871

Yurii Kolomoitsev and Tetiana Lomako, On the growth of Lebesgueconstants for convex polyhedra . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6909

D. Freeman, E. Odell, B. Sarı, and B. Zheng, On spreading sequencesand asymptotic structures . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6933

Tyrone Crisp, Frobenius reciprocity and the Haagerup tensor product . . . 6955

S. V. Borodachov, D. P. Hardin, A. Reznikov, and E. B. Saff, Optimaldiscrete measures for Riesz potentials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6973

Vamsi Pritham Pingali, A note on higher extremal metrics . . . . . . . . . . . . . 6995

Kengo Matsumoto, Relative Morita equivalence of Cuntz–Krieger algebrasand flow equivalence of topological Markov shifts . . . . . . . . . . . . . . . . . . . . . 7011

Pierre Fima and Emmanuel Germain, The KK-theory of fundamentalC*-algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7051

Denis Bonheure, Juraj Foldes, Ederson Moreira dos Santos, AlbertoSaldana, and Hugo Tavares, Paths to uniqueness of critical pointsand applications to partial differential equations . . . . . . . . . . . . . . . . . . . . . . 7081

Florian Besau, Monika Ludwig, and Elisabeth M. Werner, Weightedfloating bodies and polytopal approximation . . . . . . . . . . . . . . . . . . . . . . . . . 7129

Dorin Bucur, Ilaria Fragala, Bozhidar Velichkov, and GianmariaVerzini, On the honeycomb conjecture for a class of minimal convexpartitions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7149

T. V. Anoop, Vladimir Bobkov, and Sarath Sasi, On the strictmonotonicity of the first eigenvalue of the p-Laplacian on annuli . . . . . . 7181

Janne Grohn, Juha-Matti Huusko, and Jouni Rattya, Lineardifferential equations with slowly growing solutions . . . . . . . . . . . . . . . . . . . 7201

The Anh Bui, Xuan Thinh Duong, and Fu Ken Ly, Maximalfunction characterizations for new local Hardy-type spaces on spaces ofhomogeneous type . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7229

Jean-Marc Bouclet and Haruya Mizutani, Uniform resolvent andStrichartz estimates for Schrodinger equations with critical singularities 7293

Massimiliano Gubinelli, Herbert Koch, and Tadahiro Oh, Renormal-ization of the two-dimensional stochastic nonlinear wave equations . . . 7335

Paul Balister, Bela Bollobas, Karen Gunderson, Imre Leader,and Mark Walters, Random geometric graphs and isometries ofnormed spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7361






































Michael Hitrik, Karel Pravda-Starov, and Joe Viola, From semigroupsto subelliptic estimates for quadratic operators . . . . . . . . . . . . . . . . . . . . . . . 7391

Vladimir G. Pestov, Amenability versus property (T ) for non-locallycompact topological groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7417

Stanley Snelson, Asymptotic stability for odd perturbations of thestationary kink in the variable-speed φ4 model . . . . . . . . . . . . . . . . . . . . . . . 7437

Raphael Cote and Yvan Martel, Multi-travelling waves for the nonlinearKlein-Gordon equation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7461

Andrew Zimmer, A gap theorem for the complex geometry of convexdomains . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7489

Bogdan–Vasile Matioc, Viscous displacement in porous media: the Muskatproblem in 2D . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7511

Vol. 370, No. 11 Whole No. 1002 November 2018

David Montague and Bala Rajaratnam, Graphical Markov models forinfinitely many variables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7557

Chang-Shou Lin, Zhaohu Nie, and Juncheng Wei, Toda systems andhypergeometric equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7605

Amine Asselah, Bruno Schapira, and Perla Sousi, Capacity of the rangeof random walk on Zd . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7627

Juliette Bavard and Alden Walker, The Gromov boundary of the raygraph . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7647

Laurent Bartholdi and Dzmitry Dudko, Algorithmic aspects of branchedcoverings IV/V. Expanding maps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7679

Sandra Di Rocco, Kelly Jabbusch, and Gregory G. Smith, Toricvector bundles and parliaments of polytopes . . . . . . . . . . . . . . . . . . . . . . . . . . 7715

Jianfei Wang and Taishun Liu, The Roper-Suffridge extension operatorand its applications to convex mappings in C2 . . . . . . . . . . . . . . . . . . . . . . . . 7743

Lucian Beznea and Iulian Cımpean, Quasimartingales associated toMarkov processes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7761

Melvin Hochster and Wenliang Zhang, Content of local cohomology,parameter ideals, and robust algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7789

Lorenzo Fantini, Normalized Berkovich spaces and surface singularities . . 7815

Osamu Iyama and Dong Yang, Silting reduction and Calabi–Yaureduction of triangulated categories . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7861

Christian Mauduit and Joel Rivat, Rudin–Shapiro sequences alongsquares . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7899

Paolo Cascini and Luca Tasin, On the Chern numbers of a smooththreefold . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7923

Andreas Krug, Varieties with P-units . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7959

Vladislav Vysotsky and Dmitry Zaporozhets, Convex hulls ofmultidimensional random walks . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7985

H. M. Bui and Alexandra Florea, Zeros of quadratic Dirichlet L-functionsin the hyperelliptic ensemble . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8013











































Daniel Delbourgo and Antonio Lei, Congruences modulo p between ρ-twisted Hasse-Weil L-values . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8047

Jakub Byszewski and Jakub Konieczny, Sparse generalised polynomials 8081

Jisang Yoo, Multiplicity structure of preimages of invariant measures underfinite-to-one factor maps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8111

Balazs Szegedy, Limits of functions on groups . . . . . . . . . . . . . . . . . . . . . . . . . . . 8135

Satoshi Masaki and Jun-ichi Segata, Modified scattering for thequadratic nonlinear Klein–Gordon equation in two dimensions . . . . . . . . 8155

Marıa del Mar Gonzalez and Mariel Saez, Fractional Laplacians andextension problems: The higher rank case . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8171

David P. Blecher and Louis Labuschagne, Ueda’s peak set theorem forgeneral von Neumann algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8215

Andreas Kubel and Andreas Thom, Equivariant differential cohomology 8237

Jacopo Bellazzini, Marco Ghimenti, Carlo Mercuri, Vitaly Moroz,and Jean Van Schaftingen, Sharp Gagliardo–Nirenberg inequalitiesin fractional Coulomb–Sobolev spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8285


Qi Ding, A rigidity theorem on the second fundamental form forself-shrinkers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8311




V. Trivedi, Hilbert-Kunz density function and Hilbert-Kunz multiplicity . . 8403

Lu Chen, Zhao Liu, Guozhen Lu, and Chunxia Tao, Reverse Stein–Weiss inequalities and existence of their extremal functions . . . . . . . . . . . 8429

Ricardo Freire and Victor Vargas, Equilibrium states and zerotemperature limit on topologically transitive countable Markov shifts . 8451





Jarod Hart, Rodolfo H. Torres, and Xinfeng Wu, Smoothingproperties of bilinear operators and Leibniz-type rules in Lebesgue andmixed Lebesgue spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8581

Y.-H. Bao, J.-W. He, and J. J. Zhang, Noncommutative Auslandertheorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8613








































Guy Salomon, Orr M. Shalit, and Eli Shamovich, Algebrasof bounded noncommutative analytic functions on subvarieties of thenoncommutative unit ball . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8639


Alexander Melnikov, Computable topological groups and Pontryaginduality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8709


Venkatesan Guruswami, Chaoping Xing, and Chen Yuan, Subspacedesigns based on algebraic function fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8757

Sami Assaf, Nonsymmetric Macdonald polynomials and a refinement ofKostka–Foulkes polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8777


Maria Elisa Fernandes, Dimitri Leemans, and Mark Mixer, Anextension of the classification of high rank regular polytopes . . . . . . . . . . 8833

Iian B. Smythe, A local Ramsey theory for block sequences . . . . . . . . . . . . . . 8859

Christoph Fischbacher, The nonproper dissipative extensions of a dualpair . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8895

Willian Hans Goes Correa, Twisting operator spaces . . . . . . . . . . . . . . . . . . . 8921




Takayuki Kihara and Antonio Montalban, The uniform Martin’sconjecture for many-one degrees . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9025



























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1. GEOMETRY, TOPOLOGY & LOGICCoordinating Editor: Richard Canary, Department of Mathematics, University ofMichigan, Ann Arbor, MI 48109-1043 USA; e-mail: [email protected]

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Memoirs is devoted to research in pure and applied mathematics of the same nature asTransactions. An issue consists of one or more separately bound research tracts for whichthe authors provide reproduction copy. Papers intended for Memoirs should normally beat least 80 pages in length. Memoirs has the same editorial committee as Transactions;authors may choose an Editor from the list above upon submission.

(Continued from back cover)

Maria Elisa Fernandes, Dimitri Leemans, and Mark Mixer, Anextension of the classification of high rank regular polytopes . . . . . . . . . 8833

Iian B. Smythe, A local Ramsey theory for block sequences . . . . . . . . . . . . . 8859

Christoph Fischbacher, The nonproper dissipative extensions of a dualpair . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8895

Willian Hans Goes Correa, Twisting operator spaces . . . . . . . . . . . . . . . . . . 8921




Takayuki Kihara and Antonio Montalban, The uniform Martin’sconjecture for many-one degrees . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9025
















CONTENTS


Qi Ding, A rigidity theorem on the second fundamental form for self-shrinkers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8311




V. Trivedi, Hilbert-Kunz density function and Hilbert-Kunz multiplicity . 8403

Lu Chen, Zhao Liu, Guozhen Lu, and Chunxia Tao, Reverse Stein–Weiss inequalities and existence of their extremal functions . . . . . . . . . . 8429

Ricardo Freire and Victor Vargas, Equilibrium states and zerotemperature limit on topologically transitive countable Markov shifts 8451





Jarod Hart, Rodolfo H. Torres, and Xinfeng Wu, Smoothing propertiesof bilinear operators and Leibniz-type rules in Lebesgue and mixedLebesgue spaces . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8581

Y.-H. Bao, J.-W. He, and J. J. Zhang, Noncommutative Auslandertheorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8613

Guy Salomon, Orr M. Shalit, and Eli Shamovich, Algebras ofbounded noncommutative analytic functions on subvarieties of thenoncommutative unit ball . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8639


Alexander Melnikov, Computable topological groups and Pontryaginduality . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8709


Venkatesan Guruswami, Chaoping Xing, and Chen Yuan, Subspacedesigns based on algebraic function fields . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8757

Sami Assaf, Nonsymmetric Macdonald polynomials and a refinement ofKostka–Foulkes polynomials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8777


(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 · weiss inequalities and existence of their...

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