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)