Mathematics

Authors and titles for June 2022

[1701] arXiv:2206.08431 [pdf, other]

Title: Poincar\'e metric of holomorphic foliations with non-degenerate singularities

François Bacher

Comments: 19 pages, 2 figures

Journal-ref: Internat. J. Math. 34 (2023), no.10, Paper No. 2350059

Subjects: Dynamical Systems (math.DS); Complex Variables (math.CV)

[1702] arXiv:2206.08443 [pdf, other]

Title: Coherent orientations in symplectic field theory revisited

Erkao Bao

Comments: fixed a bunch of mistakes and typos. The main results are not affected

Subjects: Symplectic Geometry (math.SG)

[1703] arXiv:2206.08461 [pdf, other]

Title: On Tournaments and Negative Dependence

Yaakov Malinovsky, Yosef Rinott

Subjects: Probability (math.PR); Statistics Theory (math.ST)

[1704] arXiv:2206.08493 [pdf, other]

Title: Nonconforming finite elements for the Brinkman and $-\text{curl}\Delta \text{curl}$ problems on cubical meshes

Qian Zhang, Min Zhang, Zhimin Zhang

Subjects: Numerical Analysis (math.NA)

[1705] arXiv:2206.08507 [pdf, other]

Title: On energy-stable and high order finite element methods for the wave equation in heterogeneous media with perfectly matched layers

Gustav Ludvigsson, Kenneth Duru, Gunilla Kreiss

Comments: 30 pages

Subjects: Numerical Analysis (math.NA)

[1706] arXiv:2206.08511 [pdf, other]

Title: The completeness and separability of function spaces in nonadditive measure theory

Jun Kawabe, Naoki Yamada

Subjects: Classical Analysis and ODEs (math.CA)

[1707] arXiv:2206.08512 [pdf, other]

Title: On NSOP$_2$ Theories

Scott Mutchnik

Comments: 20 pages. The proof from the cited source of Fact 2.4 of the previous versions is incorrect; this claim has been replaced by Lemma 2.8 in the new version

Subjects: Logic (math.LO)

[1708] arXiv:2206.08526 [pdf, other]

Title: k-Sliced Mutual Information: A Quantitative Study of Scalability with Dimension

Ziv Goldfeld, Kristjan Greenewald, Theshani Nuradha, Galen Reeves

Comments: Accepted at NeurIPS 2022

Subjects: Information Theory (cs.IT); Machine Learning (stat.ML)

[1709] arXiv:2206.08534 [pdf, other]

Title: Disintegrations of non-hyperbolic ergodic measures along the center foliation of DA maps

Ali Tahzibi, Jinhua Zhang

Journal-ref: Bulletin of the London Mathematical Society, 2023

Subjects: Dynamical Systems (math.DS)

[1710] arXiv:2206.08539 [pdf, other]

Title: K-stable divisors in $\mathbb{P}^1\times\mathbb{P}^1\times\mathbb{P}^2$ of degree $(1,1,2)$

Ivan Cheltsov, Kento Fujita, Takashi Kishimoto, Takuzo Okada

Comments: 26 pages

Subjects: Algebraic Geometry (math.AG)

[1711] arXiv:2206.08546 [pdf, other]

Title: Enriched purity and presentability in Banach spaces

Jiří Rosický

Comments: a revised version, 27 pages

Subjects: Category Theory (math.CT); Functional Analysis (math.FA)

[1712] arXiv:2206.08548 [pdf, other]

Title: Some theorems on colocally connected continua

Eiichi Matsuhashi, Yoshiyuki Oshima

Comments: 6 pages

Subjects: General Topology (math.GN)

[1713] arXiv:2206.08550 [pdf, other]

Title: Catenoid limits of singly periodic minimal surfaces with Scherk-type ends

Hao Chen, Peter Connor, Kevin Li

Comments: 28 pages, 9 figures. Published

Journal-ref: Pacific J. Math. 325 (2023) 11-46

Subjects: Differential Geometry (math.DG)

[1714] arXiv:2206.08552 [pdf, other]

Title: Semilinear Dirichlet problem for subordinate spectral Laplacian

Ivan Biocic

Comments: 54 pages, some typos correted, to appear in Communications on Pure and Applied Analysis

Subjects: Analysis of PDEs (math.AP); Probability (math.PR)

[1715] arXiv:2206.08559 [pdf, other]

Title: Hausdorff and box dimension of self-affine set in non-Archimedean field

Yang Deng, Bing Li, Hua Qiu

Comments: 17 pages

Subjects: Classical Analysis and ODEs (math.CA)

[1716] arXiv:2206.08571 [pdf, other]

Title: On the exponent governing the correlation decay of the Airy$_1$ process

Riddhipratim Basu (1), Ofer Busani (2), Patrik L. Ferrari (2) ((1) Tata Institute of Fundamental Research, (2) University of Bonn)

Comments: 51 pages, 5 figures, LaTeX

Subjects: Probability (math.PR); Mathematical Physics (math-ph)

[1717] arXiv:2206.08573 [pdf, other]

Title: Optimal Extragradient-Based Bilinearly-Coupled Saddle-Point Optimization

Simon S. Du, Gauthier Gidel, Michael I. Jordan, Chris Junchi Li

Comments: More polishing and clarifications; 36 pages

Subjects: Optimization and Control (math.OC); Computational Complexity (cs.CC); Computer Science and Game Theory (cs.GT); Machine Learning (cs.LG)

[1718] arXiv:2206.08580 [pdf, other]

Title: Chromatic Polynomials of Signed Book Graphs

Deepak Sehrawat, Bikash Bhattacharjya

Comments: Substantial text overlap with arXiv:1812.08382

Journal-ref: Theory and applications of Graphs, 9(1) 2022, Article 4

Subjects: Combinatorics (math.CO)

[1719] arXiv:2206.08586 [pdf, other]

Title: On the rank index of some quadratic varieties

Hyunsuk Moon, Euisung Park

Comments: 17 pages

Subjects: Algebraic Geometry (math.AG)

[1720] arXiv:2206.08594 [pdf, other]

Title: Principled Acceleration of Iterative Numerical Methods Using Machine Learning

Sohei Arisaka, Qianxiao Li

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG)

[1721] arXiv:2206.08595 [pdf, other]

Title: Quadratic Chabauty and $p$-adic Gross-Zagier

Sachi Hashimoto

Comments: to appear in Transactions of the American Mathematical Society

Subjects: Number Theory (math.NT)

[1722] arXiv:2206.08602 [pdf, other]

Title: Large-time asymptotic behaviors for the classical thermoelastic system

Wenhui Chen, Hiroshi Takeda

Subjects: Analysis of PDEs (math.AP)

[1723] arXiv:2206.08606 [pdf, other]

Title: The span of singular tuples of a tensor beyond the boundary format

Luca Sodomaco, Ettore Teixeira Turatti

Comments: 20 pages, 2 tables. Accepted for publication on J. Symbolic Comput

Subjects: Algebraic Geometry (math.AG)

[1724] arXiv:2206.08609 [pdf, other]

Title: Locally Structure-Preserving div-curl operators for high order Discontinuous Galerkin schemes

Walter Boscheri, Giacomo Dimarco, Lorenzo Pareschi

Subjects: Numerical Analysis (math.NA)

[1725] arXiv:2206.08618 [pdf, other]

Title: Around the de Rham-Betti conjecture

Tobias Kreutz, Mingmin Shen, Charles Vial

Comments: New title, new coauthor. Main changes: new results regarding $\overline \mathds{Q}$-de Rham-Betti classes and new results regarding de Rham-Betti classes on hyper-Kähler varieties

Subjects: Algebraic Geometry (math.AG)

[1726] arXiv:2206.08627 [pdf, other]

Title: RECAPP: Crafting a More Efficient Catalyst for Convex Optimization

Yair Carmon, Arun Jambulapati, Yujia Jin, Aaron Sidford

Comments: Accepted at ICML'22

Subjects: Optimization and Control (math.OC); Data Structures and Algorithms (cs.DS); Machine Learning (cs.LG)

[1727] arXiv:2206.08628 [pdf, other]

Title: The Wavefront Sets of Unipotent Supercuspidal Representations

Dan Ciubotaru, Lucas Mason-Brown, Emile Okada

Journal-ref: Alg. Number Th. 18 (2024) 1863-1889

Subjects: Representation Theory (math.RT)

[1728] arXiv:2206.08629 [pdf, other]

Title: A two-stage approach for a mixed-integer economic dispatch game in integrated electrical and gas distribution systems

Wicak Ananduta, Sergio Grammatico

Comments: 13 pages

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY)

[1729] arXiv:2206.08630 [pdf, other]

Title: Globally Resonant Homoclinic Tangencies

Sishu Shankar Muni

Comments: Ph.D. Thesis

Subjects: Dynamical Systems (math.DS); Mathematical Physics (math-ph); Chaotic Dynamics (nlin.CD)

[1730] arXiv:2206.08633 [pdf, other]

Title: Discrete orthogonal ensemble on the exponential lattices

Peter J Forrester, Shi-Hao Li, Bo-Jian Shen, Guo-Fu Yu

Comments: 32 pages. Comments are welcome

Subjects: Mathematical Physics (math-ph)

[1731] arXiv:2206.08634 [pdf, other]

Title: Long time asymptotic analysis for a nonlocal Hirota equation via the Dbar steepest descent method

Jin-yan Zhu, Yong Chen

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

[1732] arXiv:2206.08642 [pdf, other]

Title: Supercloseness of the local discontinuous Galerkin method for a singularly perturbed convection-diffusion problem

Yao Cheng, Shan Jiang, Martin Stynes

Comments: 26 pages, 10 figures, 22 references

Subjects: Numerical Analysis (math.NA)

[1733] arXiv:2206.08648 [pdf, other]

Title: Orthonormal Expansions for Translation-Invariant Kernels

Filip Tronarp, Toni Karvonen

Comments: 23 pages, 8 figures

Subjects: Classical Analysis and ODEs (math.CA); Machine Learning (cs.LG); Numerical Analysis (math.NA); Machine Learning (stat.ML)

[1734] arXiv:2206.08650 [pdf, other]

Title: A question of Gol'dberg and Ostrovskii concerning linear differential equations with coefficients of completely regular growth

Walter Bergweiler

Comments: 5 pages; minor revision of v1

Journal-ref: Proc. Amer. Math. Soc. 151 (2023), 2097-2101

Subjects: Complex Variables (math.CV); Classical Analysis and ODEs (math.CA)

[1735] arXiv:2206.08651 [pdf, other]

Title: On weak compactness in projective tensor products

José Rodríguez

Subjects: Functional Analysis (math.FA)

[1736] arXiv:2206.08652 [pdf, other]

Title: An efficient spectral method for the fractional Schr\"{o}dinger equation on the real line

Mengxia Shen, Haiyong Wang

Comments: 25 pages, 12 figures

Subjects: Numerical Analysis (math.NA)

[1737] arXiv:2206.08659 [pdf, html, other]

Title: Digital Twin Data Modelling by Randomized Orthogonal Decomposition and Deep Learning

Diana Alina Bistrian, Omer San, Ionel Michael Navon

Comments: The material will be revised

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG)

[1738] arXiv:2206.08663 [pdf, other]

Title: A census of small Schurian association schemes

Jesse Lansdown

Comments: The author is supported by the Australian Research Council Discovery Grant DP200101951. This work was supported by resources provided by the Pawsey Supercomputing Centre with funding from the Australian Government and the Government of Western Australia

Subjects: Combinatorics (math.CO)

[1739] arXiv:2206.08665 [pdf, other]

Title: The infinite dihedral group

Jānis Buls

Comments: 9 pages, 3 figures

Subjects: Group Theory (math.GR)

[1740] arXiv:2206.08667 [pdf, other]

Title: A Maupertuis-type principle in relativistic mechanics and applications

Alberto Boscaggin, Walter Dambrosio, Eduardo Muñoz-Hernández

Comments: 33 pages

Subjects: Classical Analysis and ODEs (math.CA); Mathematical Physics (math-ph)

[1741] arXiv:2206.08668 [pdf, other]

Title: A characterization of multiplier ideals via ultraproducts

Tatsuki Yamaguchi

Comments: 15 pages. The proof of Thm 5.18 revised since $F^ε_*S_\infty$ may not be isomorphic to $F^ε_* R_\infty\otimes_R S$ in codim one even if $F_*^{e_p}S_p$ is isomorphic to $F_*^{e_p}R_p\otimes_{R_p}S_p$ in codim one for almost all $p$

Subjects: Commutative Algebra (math.AC); Algebraic Geometry (math.AG)

[1742] arXiv:2206.08682 [pdf, html, other]

Title: Spectral inequality with sensor sets of decaying density for Schr\"odinger operators with power growth potentials

Alexander Dicke, Albrecht Seelmann, Ivan Veselic

Comments: 17 pages; fixed typos, and editorial changes

Journal-ref: Partial Differ. Equ. Appl. 5, 7 (2024)

Subjects: Analysis of PDEs (math.AP)

[1743] arXiv:2206.08685 [pdf, html, other]

Title: Optimal solvability for the fractional p-Laplacian with Dirichlet conditions

Antonio Iannizzotto, Dimitri Mugnai

Comments: 17 pages

Subjects: Analysis of PDEs (math.AP)

[1744] arXiv:2206.08706 [pdf, other]

Title: Structure Preserving $H_\infty$ Control for Port-Hamiltonian Systems

Tobias Breiten, Attila Karsai

Subjects: Optimization and Control (math.OC)

[1745] arXiv:2206.08707 [pdf, other]

Title: Environment-Aware Hybrid Beamforming by Leveraging Channel Knowledge Map

Di Wu, Yong Zeng, Shi Jin, Rui Zhang

Subjects: Information Theory (cs.IT); Signal Processing (eess.SP)

[1746] arXiv:2206.08717 [pdf, other]

Title: Smoluchowski-Kramers approximation for singular stochastic wave equations in two dimensions

Younes Zine

Comments: Revised version

Subjects: Analysis of PDEs (math.AP); Probability (math.PR)

[1747] arXiv:2206.08719 [pdf, other]

Title: Norm inflation for the derivative nonlinear Schr\"odinger equation

Yuzhao Wang, Younes Zine

Comments: Corrected typos

Subjects: Analysis of PDEs (math.AP)

[1748] arXiv:2206.08725 [pdf, other]

Title: Galois LCD Codes Over Fq + uFq + vFq + uvFq

Astha Agrawal, Gyanendra K. Verma, R. K. Sharma

Subjects: Information Theory (cs.IT)

[1749] arXiv:2206.08732 [pdf, other]

Title: Meromorphic Solutions of Homogeneous and Non-homogeneous Higher Order Linear Difference Equations in Terms of (p,q)-Order

Subhadip Khan, Chinmay Ghosh, Sanjib Kumar Datta

Subjects: Complex Variables (math.CV)

[1750] arXiv:2206.08734 [pdf, other]

Title: A remark on Kashin's discrepancy argument and partial coloring in the Koml\'{o}s conjecture

Afonso S. Bandeira, Antoine Maillard, Nikita Zhivotovskiy

Comments: 4 pages, an expository note

Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM); Data Structures and Algorithms (cs.DS); Metric Geometry (math.MG)