Mathematics

Authors and titles for June 2023

[1] arXiv:2306.00026 [cn-pdf, pdf, html, other]

Title: Efficient Stochastic Approximation of Minimax Excess Risk Optimization Show Chinese title

Title: 高效随机近似最小最大超额风险优化

Lijun Zhang, Haomin Bai, Wei-Wei Tu, Ping Yang, Yao Hu

Subjects: Optimization and Control (math.OC) ; Machine Learning (cs.LG)

[2] arXiv:2306.00033 [cn-pdf, pdf, other]

Title: Sign-Balanced Pattern-Avoiding Permutation Classes Show Chinese title

Title: 带符号的模式避免置换类

Junyao Pan, Pengfei Guo

Subjects: Combinatorics (math.CO) ; Group Theory (math.GR)

[3] arXiv:2306.00063 [cn-pdf, pdf, other]

Title: Topological model for q-deformed rational number and categorification Show Chinese title

Title: 关于q-变形有理数的拓扑模型和范畴化

Li Fan, Yu Qiu

Comments: 28 pages, 17 figures

Subjects: Representation Theory (math.RT) ; Combinatorics (math.CO)

[4] arXiv:2306.00082 [cn-pdf, pdf, other]

Title: Lineup polytopes of product of simplices Show Chinese title

Title: 排列多面体的乘积单纯形

Federico Castillo, Jean-Philippe Labbé

Comments: 19 pages, 8 figures

Subjects: Combinatorics (math.CO)

[5] arXiv:2306.00094 [cn-pdf, pdf, other]

Title: A scalable domain decomposition method for FEM discretizations of nonlocal equations of integrable and fractional type Show Chinese title

Title: 一种可扩展的区域分解方法用于积分型和分数阶非局部方程的有限元离散化

Manuel Klar, Giacomo Capodaglio, Marta D'Elia, Christian Glusa, Max Gunzburger, Christian Vollmann

Subjects: Numerical Analysis (math.NA)

[6] arXiv:2306.00101 [cn-pdf, pdf, html, other]

Title: $\widetilde{\mid}\hspace{1mm}$-divisibility of ultrafilters II: The big picture Show Chinese title

Title: $\widetilde{\mid}\hspace{1mm}$-超滤器的可分性 II：整体图景

Boris Šobot

Subjects: Logic (math.LO)

[7] arXiv:2306.00104 [cn-pdf, pdf, other]

Title: Teaching Linear Algebra in a Mechanized Mathematical Environment Show Chinese title

Title: 在机械化数学环境中教授线性代数

Robert M. Corless, David J. Jeffrey, Azar Shakoori

Comments: 16 pages, 2 figures

Subjects: History and Overview (math.HO)

[8] arXiv:2306.00109 [cn-pdf, pdf, other]

Title: Gluing residuated lattices Show Chinese title

Title: 粘合剩余格

Nick Galatos, Sara Ugolini

Comments: This is a preprint. The final version of this work appears in Order

Subjects: Logic (math.LO)

[9] arXiv:2306.00113 [cn-pdf, pdf, html, other]

Title: On varieties with Ulrich twisted conormal bundles Show Chinese title

Title: 关于具有 Ulrich 扭转余法丛的簇

Vincenzo Antonelli, Gianfranco Casnati, Angelo Felice Lopez, Debaditya Raychaudhury

Comments: v2: we specified the results that hold in characteristic zero and the ones holding in any characteristic. Thanks to crucial remarks of anonymous referee, we improved Theorem 3(ii) to $g \ge 3$ and we rewrote completely and shortened section 8 by using interpolation techniques

Subjects: Algebraic Geometry (math.AG)

[10] arXiv:2306.00116 [cn-pdf, pdf, other]

Title: Fractal analysis of hyperbolic saddles with applications Show Chinese title

Title: 双曲鞍点的分形分析及其应用

Vlatko Crnković, Renato Huzak, Maja Resman

Comments: 16 pages, 2 figures

Subjects: Dynamical Systems (math.DS)

[11] arXiv:2306.00122 [cn-pdf, pdf, other]

Title: Optimal zero-free regions for the independence polynomial of bounded degree hypergraphs Show Chinese title

Title: 有界度超图独立多项式的最优零点自由区域

Ferenc Bencs, Pjotr Buys

Comments: 34 pages, 4 figures

Subjects: Combinatorics (math.CO)

[12] arXiv:2306.00126 [cn-pdf, pdf, other]

Title: On Mixing Rates for Bayesian CART Show Chinese title

Title: 关于贝叶斯 CART 的混合速率

Jungeum Kim, Veronika Rockova

Subjects: Statistics Theory (math.ST) ; Machine Learning (stat.ML)

[13] arXiv:2306.00130 [cn-pdf, pdf, html, other]

Title: The ancestral selection graph for a $Λ$-asymmetric Moran model Show Chinese title

Title: 一个$Λ$-不对称Moran模型的祖先选择图

Adrián González Casanova, Noemi Kurt, José Luis Pérez

Comments: Substantially revised. The results are unchanged with respect to v1, but the presentation has been changed. References added and corrected

Subjects: Probability (math.PR) ; Populations and Evolution (q-bio.PE)

[14] arXiv:2306.00140 [cn-pdf, pdf, other]

Title: Genuinely nonabelian partial difference sets Show Chinese title

Title: 真正非交换部分差集

John Polhill, James Davis, Ken Smith, Eric Swartz

Comments: 24 pages

Subjects: Combinatorics (math.CO)

[15] arXiv:2306.00141 [cn-pdf, pdf, html, other]

Title: Functions on Irreducible Components of the Emerton-Gee Stack Show Chinese title

Title: 不可约分支上的 Emerton-Gee 栈函数

Eivind Otto Hjelle, Louis Jaburi, Rachel Knak, Hao Lee, Shenrong Wang

Comments: Corrected an error in the proof of Theorem A.3.7 and made numerous minor changes

Subjects: Number Theory (math.NT)

[16] arXiv:2306.00142 [cn-pdf, pdf, other]

Title: On the accuracy of the finite volume approximations to nonlocal conservation laws Show Chinese title

Title: 非局部守恒律有限体积逼近的精度分析

Aekta Aggarwal, Helge Holden, Ganesh Vaidya

Comments: 27 pages, 5 figures, 2 tables

Subjects: Numerical Analysis (math.NA) ; Analysis of PDEs (math.AP)

[17] arXiv:2306.00145 [cn-pdf, pdf, other]

Title: On the Expressive Power of Neural Networks Show Chinese title

Title: 关于神经网络的表达能力

Jan Holstermann

Comments: 54 pages

Subjects: Classical Analysis and ODEs (math.CA) ; Artificial Intelligence (cs.AI) ; Machine Learning (cs.LG) ; Machine Learning (stat.ML)

[18] arXiv:2306.00149 [cn-pdf, pdf, other]

Title: Distributed Online Convex Optimization with Adversarial Constraints: Reduced Cumulative Constraint Violation Bounds under Slater's Condition Show Chinese title

Title: 具有对抗性约束的分布式在线凸优化：Slater 条件下的累积约束违反界减少

Xinlei Yi, Xiuxian Li, Tao Yang, Lihua Xie, Yiguang Hong, Tianyou Chai, Karl H. Johansson

Subjects: Optimization and Control (math.OC) ; Machine Learning (cs.LG)

[19] arXiv:2306.00154 [cn-pdf, pdf, other]

Title: Dynamics of vortex cap solutions on the rotating unit sphere Show Chinese title

Title: 旋转单位球面上涡旋帽解的动力学

Claudia Garcia, Zineb Hassainia, Emeric Roulley

Comments: 41 pages, 4 figures

Subjects: Analysis of PDEs (math.AP) ; Atmospheric and Oceanic Physics (physics.ao-ph) ; Fluid Dynamics (physics.flu-dyn)

[20] arXiv:2306.00155 (cross-list from cs.IT) [cn-pdf, pdf, html, other]

Title: Orbit recovery for band-limited functions Show Chinese title

Title: 带限函数的轨道恢复

Dan Edidin, Matthew Satriano

Comments: 22 pages

Subjects: Information Theory (cs.IT) ; Representation Theory (math.RT)

[21] arXiv:2306.00156 [cn-pdf, pdf, other]

Title: eXtended Hybridizable Discontinous Galerkin (X-HDG) Method for Linear Convection-Diffusion Equations on Unfitted Domains Show Chinese title

Title: 用于非拟合域上线性对流扩散方程的扩展杂交间断伽辽金（X-HDG）方法

Haroon Ahmad, Ceren Gürkan

Subjects: Numerical Analysis (math.NA)

[22] arXiv:2306.00159 [cn-pdf, pdf, html, other]

Title: The inner radius of nodal domains in high dimensions Show Chinese title

Title: 高维数中节点域的内半径

Philippe Charron, Dan Mangoubi

Comments: 15 pages. v2: Presentation of proof of main theorem significantly simplified following Sasha Logunov's suggestion

Subjects: Analysis of PDEs (math.AP) ; Differential Geometry (math.DG) ; Spectral Theory (math.SP)

[23] arXiv:2306.00161 [cn-pdf, pdf, other]

Title: On the equidistribution properties of patterns in prime numbers Jumping Champions, metaanalysis of properties as Low-Discrepancy Sequences, and some conjectures based on Ramanujan's master theorem and the zeros of Riemann's zeta function Show Chinese title

Title: 关于素数模式的等分布性质、跳跃冠军的元分析、作为低失配序列的性质，以及基于拉马努金主定理和黎曼ζ函数零点的一些猜想

Arturo Ortiz-Tapia

Comments: 13 pages, 7 Figures, 4 tables

Subjects: General Mathematics (math.GM)

[24] arXiv:2306.00171 [cn-pdf, pdf, other]

Title: Asymptotics for Palette Sparsification Show Chinese title

Title: 调色板稀疏化的渐近性

Jeff Kahn, Charles Kenney

Comments: 29 pages

Subjects: Combinatorics (math.CO)

[25] arXiv:2306.00178 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Six lectures on Geometric Quantization Show Chinese title

Title: 六次关于几何量子化的讲座

Konstantin Wernli

Subjects: Mathematical Physics (math-ph) ; High Energy Physics - Theory (hep-th)

[26] arXiv:2306.00182 [cn-pdf, pdf, html, other]

Title: Entropic Gromov-Wasserstein Distances: Stability and Algorithms Show Chinese title

Title: 熵Gromov-Wasserstein距离：稳定性与算法

Gabriel Rioux, Ziv Goldfeld, Kengo Kato

Comments: Version 3 of this arxiv report has been split into two parts. Version 4 of the arxiv report contains the algorithmic results of the original submission. The statistical results will appear as a separate arxiv submission

Subjects: Optimization and Control (math.OC) ; Statistics Theory (math.ST)

[27] arXiv:2306.00191 [cn-pdf, pdf, other]

Title: Parameterized Wasserstein Hamiltonian Flow Show Chinese title

Title: 参数化Wasserstein哈密顿流

Hao Wu, Shu Liu, Xiaojing Ye, Haomin Zhou

Comments: We welcome any comments and suggestions

Subjects: Numerical Analysis (math.NA)

[28] arXiv:2306.00194 [cn-pdf, pdf, other]

Title: Trudinger-Moser embeddings on weighted Sobolev spaces on unbounded domains Show Chinese title

Title: 加权Sobolev空间上的Trudinger-Moser嵌入问题

Joao Marcos do O, Guozhen Lu, Raoni Ponciano

Comments: 30 pages

Subjects: Analysis of PDEs (math.AP)

[29] arXiv:2306.00207 [cn-pdf, pdf, html, other]

Title: Birational geometry of Calabi-Yau pairs and 3-dimensional Cremona transformations Show Chinese title

Title: 卡拉比-丘配对的有理几何与三维克雷莫纳变换

Carolina Araujo, Alessio Corti, Alex Massarenti

Comments: This is a major revision containing a revised Section 4.2, adding detail to several proofs, and correcting several mistakes and many typos. We thank a careful anonymous referee for making many suggestions for improvement, on which this revision is based

Subjects: Algebraic Geometry (math.AG)

[30] arXiv:2306.00209 [cn-pdf, pdf, html, other]

Title: Exponential inequalities in probability spaces revisited Show Chinese title

Title: 概率空间中的指数不等式再探

Ali Barki, Sergey G.Bobkov, Esther Bou Dagher, Cyril Roberto

Subjects: Probability (math.PR) ; Functional Analysis (math.FA)

[31] arXiv:2306.00214 [cn-pdf, pdf, other]

Title: Topological Symmetry Groups of the Petersen graphs Show Chinese title

Title: Petersen图的拓扑对称群

Deion Elzie, Samir Fridhi, Blake Mellor, Daniel Silva, Robin Wilson

Comments: 20 pages, many figures. v2 makes various small changes, and adds a conclusion section. This is the version accepted in Symmetry

Journal-ref: Symmetry, vol. 15, no. 6, p. 1267, 2023

Subjects: Geometric Topology (math.GT) ; Combinatorics (math.CO)

[32] arXiv:2306.00215 [cn-pdf, pdf, other]

Title: An Elliptic Generalization of $A_1$ Spherical DAHA at $K=2$ Show Chinese title

Title: $A_1$椭圆广义球面 DAHA 在$K=2$处的推广

S. Arthamonov, Sh. Shakirov

Comments: 32 pages

Subjects: Quantum Algebra (math.QA) ; Mathematical Physics (math-ph) ; Rings and Algebras (math.RA) ; Representation Theory (math.RT)

[33] arXiv:2306.00216 [cn-pdf, pdf, other]

Title: A new estimate of the transfinite diameter of Bernstein sets Show Chinese title

Title: 关于伯恩斯坦集的超限直径的一个新估计

Dimitri Jordan Kenne

Subjects: Complex Variables (math.CV)

[34] arXiv:2306.00220 [cn-pdf, pdf, html, other]

Title: Graphs with Large Girth and Small Cop Number Show Chinese title

Title: 具有大围长和小捕手数的图

Alexander Clow

Comments: 7 pages, 0 figures, 0 tables

Subjects: Combinatorics (math.CO)

[35] arXiv:2306.00225 [cn-pdf, pdf, other]

Title: Geometry of static perfect fluid space-time Show Chinese title

Title: 静态完美流体时空的几何学

Johnatan Costa, Rafael Diógenes, Neilha Pinheiro, Ernani Ribeiro Jr

Comments: To appear in Classical and Quantum Gravity

Subjects: Differential Geometry (math.DG) ; General Relativity and Quantum Cosmology (gr-qc) ; Mathematical Physics (math-ph)

[36] arXiv:2306.00232 [cn-pdf, pdf, other]

Title: Convergence of interfaces in boundary reactions Show Chinese title

Title: 界面在边界反应中的收敛性

Aditya Kumar

Subjects: Analysis of PDEs (math.AP) ; Differential Geometry (math.DG)

[37] arXiv:2306.00235 [cn-pdf, pdf, html, other]

Title: Towards computing the harmonic-measure distribution function for the middle-thirds Cantor set Show Chinese title

Title: 关于计算三分康托尔集的调和测度分布函数的研究

Christopher C. Green, Mohamed M. S. Nasser

Subjects: Complex Variables (math.CV)

[38] arXiv:2306.00243 [cn-pdf, pdf, other]

Title: A Generalization of the Graham-Pollak Tree Theorem to Steiner Distance Show Chinese title

Title: 关于Graham-Pollak树定理的Steiner距离推广

Joshua Cooper, Gabrielle Tauscheck

Comments: 7 pages

Subjects: Combinatorics (math.CO) ; Discrete Mathematics (cs.DM)

[39] arXiv:2306.00244 (cross-list from cs.IT) [cn-pdf, pdf, other]

Title: Efficient Computation of Physics-Compliant Channel Realizations for (Rich-Scattering) RIS-Parametrized Radio Environments Show Chinese title

Title: 符合物理规律的（富散射）可重构智能表面参数化无线环境信道实现的有效计算

Hugo Prod'homme, Philipp del Hougne

Comments: 12 pages, 1 figure, submitted to an IEEE Journal

Subjects: Information Theory (cs.IT) ; Signal Processing (eess.SP) ; Applied Physics (physics.app-ph)

[40] arXiv:2306.00252 [cn-pdf, pdf, other]

Title: Wavefront reconstruction of discontinuous phase objects from optical deflectometry Show Chinese title

Title: 基于光学偏折术的不连续相位物体波前重建

Ricardo Legarda-Saenz, Jorge L. Flores, Manuel Servin, Anabel Martin-Gonzalez

Subjects: Numerical Analysis (math.NA) ; Optics (physics.optics)

[41] arXiv:2306.00257 [cn-pdf, pdf, other]

Title: Ambarzumyan-type theorem for the Sturm-Liouville operator on the lasso graph Show Chinese title

Title: Sturm-Liouville算子在lasso图上的Ambarzumyan型定理

Feng Wang, Chuan-Fu Yang

Subjects: Spectral Theory (math.SP)

[42] arXiv:2306.00260 [cn-pdf, pdf, other]

Title: A $2$-complex with contracting non-positive immersions and positive maximal irreducible curvature Show Chinese title

Title: 具有收缩的非正浸入和正的最大不可约曲率的$2$-复形

Martin Axel Blufstein, Elias Gabriel Minian

Comments: 5 pages, 3 figures

Subjects: Group Theory (math.GR) ; Geometric Topology (math.GT)

[43] arXiv:2306.00268 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Topological Classification of Insulators: I. Non-interacting Spectrally-Gapped One-Dimensional Systems Show Chinese title

Title: 绝缘体的拓扑分类：I. 非相互作用带隙一维系统

Jui-Hui Chung, Jacob Shapiro

Comments: 46 pages

Subjects: Mathematical Physics (math-ph) ; Functional Analysis (math.FA) ; General Topology (math.GN)

[44] arXiv:2306.00271 [cn-pdf, pdf, other]

Title: A fast and accurate computation method for reflective diffraction simulations Show Chinese title

Title: 一种快速且精确的反射衍射模拟计算方法

Shuhei Kudo, Yusaku Yamamoto, Takeo Hoshi

Subjects: Numerical Analysis (math.NA)

[45] arXiv:2306.00274 [cn-pdf, pdf, other]

Title: Optimal Rate-Matrix Pruning For Large-Scale Heterogeneous Systems Show Chinese title

Title: 大规模异构系统的最优率矩阵剪枝

Zhisheng Zhao, Debankur Mukherjee

Comments: 38 pages

Subjects: Probability (math.PR) ; Distributed, Parallel, and Cluster Computing (cs.DC) ; Performance (cs.PF)

[46] arXiv:2306.00278 [cn-pdf, pdf, other]

Title: Vector-valued maximal inequalities and multi-parameter oscillation inequalities for the polynomial ergodic averages along multi-dimensional subsets of primes Show Chinese title

Title: 向量值极大不等式和多项式遍历平均沿多维素数子集的多参数摆动不等式

Nathan Mehlhop

Comments: 20 pages. arXiv admin note: substantial text overlap with arXiv:2212.09874

Subjects: Dynamical Systems (math.DS)

[47] arXiv:2306.00285 (cross-list from cs.IT) [cn-pdf, pdf, other]

Title: Linear codes with arbitrary dimensional hull and pure LCD code Show Chinese title

Title: 具有任意维数船体的线性码和纯LCD码

Maouche Youcef

Subjects: Information Theory (cs.IT)

[48] arXiv:2306.00289 [cn-pdf, pdf, other]

Title: Large deviation for slow-fast McKean-Vlasov stochastic differential equations driven by fractional Brownian motions and Brownian motions Show Chinese title

Title: 大偏差对于由分数布朗运动和布朗运动驱动的慢速-快速McKean-Vlasov随机微分方程

Hao Wu, Junhao Hu, Chenggui Yuan

Subjects: Probability (math.PR)

[49] arXiv:2306.00300 [cn-pdf, pdf, other]

Title: Eigenvalues, eigenvector-overlaps, and regularized Fuglede-Kadison determinant of the non-Hermitian matrix-valued Brownian motion Show Chinese title

Title: 非厄米矩阵值布朗运动的特征值、特征向量重叠以及正则化的 Fuglede-Kadison 确定值

Syota Esaki, Makoto Katori, Satoshi Yabuoku

Comments: v3: LaTeX, 38 pages, no figure

Subjects: Probability (math.PR) ; Statistical Mechanics (cond-mat.stat-mech) ; Mathematical Physics (math-ph)

[50] arXiv:2306.00302 [cn-pdf, pdf, other]

Title: A Liouville theorem for the Euler equations in a disk Show Chinese title

Title: 关于圆盘中Euler方程的刘维尔定理

Yuchen Wang, Weicheng Zhan

Subjects: Analysis of PDEs (math.AP)