Volume 148 Number 8 Whole Number 734 August 2020
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VOLUME 148 NUMBER 8 WHOLE NUMBER 734 AUGUST 2020 AMERICANMATHEMATICALSOCIETY EDITED BY Ariel Barton Martin Liebeck Julie Bergner Javad Mashreghi Dmitriy Bilyk Heike Mildenberger Harold P. Boas Matthew A. Papanikolas, Filippo Bracci Managing Editor Alexander Braverman Claudia Polini Benjamin Brubaker Rachel Pries Zhen-Qing Chen Nageswari Shanmugalingam Tanya Christiansen Qi-Man Shao Stephen Dilworth Romyar T. Sharifi Amanda Folsom Wenxian Shen David Futer Catherine Sulem Katrin Gelfert Jia-Ping Wang Shelly Harvey Guofang Wei Patricia L. Hersh Jerzy Weyman Ryan Hynd Sarah Witherspoon Adrian Ioana Yuan Xu Mourad Ismail Deane Yang Proceedings of the American Mathematical Society This journal is devoted entirely to research in pure and applied mathematics. Submission information. See Information for Authors at the end of this issue. Publication on the AMS website. Articles are published on the AMS website individually after proof is returned from authors and before appearing in an issue. 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Printed in the United States of America. ∞ The paper used in this journal is acid-free and falls within the guidelines established to ensure permanence and durability. 10987654321 252423222120 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY CONTENTS Vol. 148, No. 8 Whole No. 734 August 2020 A. ALGEBRA, NUMBER THEORY, AND COMBINATORICS Tushar Das and David Simmons, Intersecting limit sets of Kleinian subgroups and Susskind's question .................................................... 3203 Thang Pham and Andrew Suk, On the structure of distance sets over prime fields ...................................................................... 3209 Ethan Cotterill, Lia Feital, and Renato Vidal Martins, Dimension counts for cuspidal rational curves via semigroups ................................. 3217 Peyman Ghahremani, A short proof of the Bernstein inequality for formal power series ...................................................................... 3233 Daniel T. Wise, A note on the vanishing of the 2nd L2-Betti number . 3239 Ian M. Aberbach and Parangama Sarkar, Frobenius Betti numbers and syzygies of finite length modules ........................................... 3245 Christian Maire and Marine Rougnant, A note on p-rational fields and the abc-conjecture ............................................................. 3263 Hunter Spink, Modified diagonals and linear relations between small diagonals . 3273 Naoki Endo, Shiro Goto, Naoyuki Matsuoka, and Yuki Yamamoto, Efficient generation of ideals in core subalgebras of the polynomial ring k[t] over a field k .............................................................. 3283 Kasia Jankiewicz, Lower bounds on cubical dimensionof C0(1=6) groups . 3293 Ali Kemal Uncu, A polynomial identity implying Schur's partition theorem . 3307 B. ANALYSIS Nikolaos Chalmoukis, Generalized integration operators on Hardy spaces . 3325 Nguyen Huy Tuan, Erkan Nane, Donal O'Regan, and Nguyen Duc Phuong, Approximation of mild solutions of a semilinear fractional differential equation with random noise ................................................ 3339 Weichao Guo and Guoping Zhao, On relatively compact sets in quasi-Banach function spaces ............................................................ 3359 Emilio A. Lauret, On the smallest Laplace eigenvalue for naturally reductive metrics on compact simple Lie groups ...................................... 3375 Arnaud Ducrot and David Manceau, A one-dimensional logistic like equation with nonlinear and nonlocal diffusion: Strong convergence to equilibrium . 3381 Jonathan M. Fraser and Antti K¨aenm¨aki, Attainable values for the Assouad dimensionof projections .................................................... 3393 G. A. Grigorian, Oscillation criteria for linear matrix Hamiltonian systems . 3407 Kiril Datchev and Perry Kleinhenz, Sharp polynomial decay rates for the damped wave equation with H¨older-like damping . 3417 Pham Huu Anh Ngoc, Novel criteria for exponential stability in mean square of stochastic functional differential equations ................................. 3427 Anwoy Maitra, On the continuous extension of Kobayashi isometries . 3437 Greg Knese, A simple proof of necessity in the McCullough-Quiggin theorem . 3453 Jin Wang, A new elliptic interpolation formula via the (f; g)-inversion . 3457 Issa Mohamadi, Closed ideals with bounded approximate identities in some Banach algebras ........................................................... 3473 D. GEOMETRY Jintian Zhu, Rigidity of area-minimizing 2-spheres in n-manifolds with positive scalar curvature ........................................................... 3479 Johann Davidov, Product twistor spaces and Weyl geometry . 3491 Antoine Deza, Lionel Pournin, and Noriyoshi Sukegawa, The diameter of lattice zonotopes ........................................................... 3507 Henrique Vit´orio, On the Maslov index in a symplectic reduction and applications ............................................................... 3517 Ryosuke Takahashi, The K¨ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations . 3527 John Guckenheimer, Dense lines of curvature on convex surfaces . 3537 E. LOGIC AND FOUNDATIONS Maxwell Levine and Assaf Rinot, Partitioning a reflecting stationary set . 3551 Toshiyasu Arai, David Fern´andez-Duque,Stanley Wainer, and Andreas Weiermann, Predicatively unprovable termination of the Ackermannian Goodstein process ......................................................... 3567 Jan Greb´ık, σ-lacunary actions of Polish groups ................................ 3583 William Chan and Ruiyuan Chen, Bounds on continuous Scott rank . 3591 F. STATISTICS AND PROBABILITY Chen Jia and Guohuan Zhao, Moderate maximal inequalities for the Ornstein- Uhlenbeck process ......................................................... 3607 Ivan Nourdin, Giovanni Peccati, and Xiaochuan Yang, Restricted hypercontractivity on the Poisson space .................................... 3617 G. TOPOLOGY Jennifer Schultens, Surface complexes of Seifert fibered spaces . 3633 k Nitu Kitchloo, H(Z=p ) as a Thom spectrum and topological Hochschild homology .................................................................. 3647 Valentino Magnani and Daniele Tiberio, A remark on vanishing geodesic distances in infinite dimensions ............................................ 3653 ERRATA Zhengyao Wu, Errata to \Hermitian u-invariants over function fields of p-adic curves" .................................................................... 3657 Editorial Information To be published in the Proceedings, a paper