Mathematics

Authors and titles for October 2025

[1] arXiv:2510.00005 [cn-pdf, pdf, html, other]

Title: Errata Corrige to Theorems A and B for Dagger Quasi-Stein Spaces Show Chinese title

Title: 定理A和定理B的勘误修正适用于 Dagger 伪Stein空间

Federico Bambozzi, Christopher Lazda

Subjects: Algebraic Geometry (math.AG) ; Functional Analysis (math.FA) ; Number Theory (math.NT)

[2] arXiv:2510.00007 [cn-pdf, pdf, html, other]

Title: On Graphical Partitions with Restricted Parts Show Chinese title

Title: 图示分拆中的受限部分

Gilead Levy

Comments: A preliminary version of this work was uploaded to Zenodo: https://doi.org/10.5281/zenodo.17115730. This version includes a revised abstract and introduction

Subjects: Number Theory (math.NT) ; Combinatorics (math.CO)

[3] arXiv:2510.00008 [cn-pdf, pdf, html, other]

Title: A Universal Space of Arithmetic Functions:The Banach--Hilbert Hybrid Space U Show Chinese title

Title: 一个算术函数的通用空间：Banach--Hilbert 混合空间 U

Es-said En-naoui

Comments: 8 pages

Subjects: General Mathematics (math.GM)

[4] arXiv:2510.00012 [cn-pdf, pdf, html, other]

Title: A half-shift reflection identity for the digamma function Show Chinese title

Title: 对半移位反射的digamma函数恒等式

Nikita Kalinin

Subjects: Number Theory (math.NT)

[5] arXiv:2510.00016 [cn-pdf, pdf, html, other]

Title: Infinitesimal Dilogarithm Satisfies Cluster Identities Show Chinese title

Title: 无穷小双对数满足簇恒等式

Sinan Unver

Subjects: Number Theory (math.NT) ; K-Theory and Homology (math.KT)

[6] arXiv:2510.00017 [cn-pdf, pdf, html, other]

Title: The Exponential Congruence Symbol Show Chinese title

Title: 指数同余符号

Es-said En-naoui

Comments: 11 pages

Subjects: General Mathematics (math.GM)

[7] arXiv:2510.00018 [cn-pdf, pdf, html, other]

Title: The Theory of Topo-Symmetric Extensions of Topological Groups Show Chinese title

Title: 拓扑群的拓扑对称扩张理论

Es-said En-naoui

Comments: 10 pages

Subjects: General Mathematics (math.GM)

[8] arXiv:2510.00020 [cn-pdf, pdf, html, other]

Title: Irreducibility and locus of complex roots of polynomials related to Fermat's Last Theorem Show Chinese title

Title: 与费马大定理相关的多项式的不可约性及复根的轨迹

Hayk Karapetyan, Ruben Hambardzumyan

Subjects: Number Theory (math.NT)

[9] arXiv:2510.00025 [cn-pdf, pdf, html, other]

Title: Dual Bases for Analytic Bernoulli Functions Show Chinese title

Title: 解析伯努利函数的对偶基

Ken Nagai

Comments: 8 pages, no figures. Third note in a series (see arXiv:2509.10801, arXiv:2509.15916)

Subjects: General Mathematics (math.GM)

[10] arXiv:2510.00070 [cn-pdf, pdf, html, other]

Title: On minimal product-one sequences of maximal length over the non-abelian group of order $pq$ Show Chinese title

Title: 关于非交换阶数为$pq$的群上最大长度的最小乘积一序列

Danilo Vilela Avelar, Fabio Enrique Brochero Martínez, Sávio Ribas

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

[11] arXiv:2510.00074 [cn-pdf, pdf, html, other]

Title: Zeros and Orthogonality of generalized Fibonacci polynomials Show Chinese title

Title: 广义斐波那契多项式的零点和正交性

Cristian F. Coletti, Rigoberto Flórez, Robinson A. Higuita, Sandra Z. Yepes

Comments: There are two figures

Subjects: Combinatorics (math.CO)

[12] arXiv:2510.00079 (cross-list from cs.IT) [cn-pdf, pdf, html, other]

Title: Directed Information $γ$-covering: An Information-Theoretic Framework for Context Engineering Show Chinese title

Title: 有向信息$γ$-覆盖：一种上下文工程的信息理论框架

Hai Huang

Comments: 15 pages, 6 tables, preprint

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

[13] arXiv:2510.00081 [cn-pdf, pdf, html, other]

Title: An Elementary Proof of the Nonexistence of Tarski Monster Groups of Exponent 3 Show Chinese title

Title: 一个关于不存在指数为3的塔斯基怪物群的初等证明

Hiroshi Arai

Comments: 3 pages, no figures. MSC2020: Primary 20F50; Secondary 20E32, 20F45

Subjects: Group Theory (math.GR)

[14] arXiv:2510.00093 [cn-pdf, pdf, other]

Title: Mumford-type Shimura curves contained in the Torelli locus Show Chinese title

Title: 含在Torelli流形中的Mumford型Shimura曲线

Thomas Bouchet (LJAD, MPI-CBG, CSBD), Jeroen Hanselman (RPTU), Andreas Pieper, Sam Schiavone

Subjects: Algebraic Geometry (math.AG) ; Number Theory (math.NT)

[15] arXiv:2510.00104 [cn-pdf, pdf, other]

Title: Categorical realization of collapsing subsurfaces and perverse schobers Show Chinese title

Title: 范畴化坍缩子面与 perverse schobers 的实现

Li Fan, Suiqi Lu

Comments: First version of the manuscript; 45 pages, 24 figures

Subjects: Representation Theory (math.RT)

[16] arXiv:2510.00109 [cn-pdf, pdf, html, other]

Title: Intrinsic Khovanov homology in $\mathbb{RP}^3$ Show Chinese title

Title: 固有Khovanov同调在$\mathbb{RP}^3$

Qiuyu Ren, Hongjian Yang

Comments: 16 pages, many figures. Comments are welcome!

Subjects: Geometric Topology (math.GT)

[17] arXiv:2510.00115 [cn-pdf, pdf, html, other]

Title: An Unexpected Rational Blowdown Show Chinese title

Title: 一个意外的有理爆破

Márton Beke, Olga Plamenevskaya, Laura Starkston

Comments: 29 pages, 35 figures

Subjects: Geometric Topology (math.GT) ; Algebraic Geometry (math.AG) ; Symplectic Geometry (math.SG)

[18] arXiv:2510.00121 [cn-pdf, pdf, html, other]

Title: On a comprehensive review of a proof of Löwner's theorem Show Chinese title

Title: 关于Löwner定理证明的综合回顾

Curt Healey

Subjects: Functional Analysis (math.FA) ; Operator Algebras (math.OA)

[19] arXiv:2510.00130 [cn-pdf, pdf, html, other]

Title: Further Applications of Cubic $q$-Binomial Transformations Show Chinese title

Title: 三次$q$-二项式变换的进一步应用

Alexander Berkovich, Aritram Dhar

Comments: 11 pages. Comments are welcome!

Subjects: Number Theory (math.NT) ; Combinatorics (math.CO)

[20] arXiv:2510.00131 [cn-pdf, pdf, html, other]

Title: Complexity of the Zero Set of a Matrix Schubert Ideal Show Chinese title

Title: 矩阵Schubert理想的零点集的复杂度

Laura Escobar, Cesar Meza

Comments: 11 pages, 8 figures; typos corrected

Subjects: Algebraic Geometry (math.AG) ; Combinatorics (math.CO)

[21] arXiv:2510.00139 [cn-pdf, pdf, html, other]

Title: Monadic non-definability and gain-graphic matroids Show Chinese title

Title: 单子不可定义性与增图拟阵

Daryl Funk, Angus Matthews, Dillon Mayhew

Comments: 37 pages, 4 figures

Subjects: Combinatorics (math.CO) ; Logic (math.LO)

[22] arXiv:2510.00146 [cn-pdf, pdf, html, other]

Title: Classification of solutions of an elliptic Hamilton-Jacobi equation Show Chinese title

Title: 椭圆哈密顿-雅可比方程解的分类

Alessio Porretta, Philippe Souplet

Subjects: Analysis of PDEs (math.AP)

[23] arXiv:2510.00149 [cn-pdf, pdf, html, other]

Title: Improved upper bounds on color reversal by local inversions Show Chinese title

Title: 通过局部反转改进颜色反转的上界

Kumud Singh Porte, RB Sandeep, Kamal Santra

Subjects: Combinatorics (math.CO)

[24] arXiv:2510.00158 [cn-pdf, pdf, html, other]

Title: A Bayesian Characterization of Ensemble Kalman Updates Show Chinese title

Title: 一种贝叶斯对集合卡尔曼更新的描述

Frederic J. N. Jorgensen, Youssef M. Marzouk

Comments: 29 pages, 3 figures

Subjects: Statistics Theory (math.ST) ; Numerical Analysis (math.NA) ; Optimization and Control (math.OC) ; Probability (math.PR)

[25] arXiv:2510.00159 [cn-pdf, pdf, html, other]

Title: Volumes of Nullhomotopies in Nilpotent Spaces Show Chinese title

Title: 零同伦体积在幂零空间中

Kyle Hansen

Comments: 51 pages, comments welcome

Subjects: Geometric Topology (math.GT) ; Algebraic Topology (math.AT) ; Metric Geometry (math.MG)

[26] arXiv:2510.00166 [cn-pdf, pdf, html, other]

Title: Monodromy of supersolvable toric arrangements Show Chinese title

Title: 可分解的环面排列的单值性

Christin Bibby, Daniel C. Cohen, Emanuele Delucchi

Comments: 30 pages

Subjects: Algebraic Topology (math.AT) ; Combinatorics (math.CO)

[27] arXiv:2510.00170 [cn-pdf, pdf, html, other]

Title: Notes on the Geometry of Electromagnetic Fields and Maxwell's Equations along a non-null curves in non flat-3D space forms $M_{q}^{3}(c)$ Show Chinese title

Title: 电磁场几何及非零曲线在非平坦三维空间形式中的麦克斯韦方程注记$M_{q}^{3}(c)$

Fatma Almaz, Cumali Ekici

Comments: 20 pages, no figures

Subjects: Differential Geometry (math.DG) ; Mathematical Physics (math-ph)

[28] arXiv:2510.00173 [cn-pdf, pdf, html, other]

Title: Stackelberg-Nash strategy for the null controllability of semilinear degenerate equations in non-cylindrical domains Show Chinese title

Title: 具有非圆柱形区域的半线性退化方程的零可控性的Stackelberg-Nash策略

Alfredo S. Gamboa, Juan Limaco, Luis P. Yapu

Comments: arXiv admin note: text overlap with arXiv:2509.19505

Subjects: Analysis of PDEs (math.AP)

[29] arXiv:2510.00179 [cn-pdf, pdf, html, other]

Title: Integrated Local Energy Decay for Waves with Time-Dependent Damping Show Chinese title

Title: 波动方程的时间依赖阻尼的局部能量衰减

Perry Kleinhenz, Michael McNulty

Comments: 84 pages, 1 figure

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph)

[30] arXiv:2510.00201 [cn-pdf, pdf, html, other]

Title: Representation asymptotics in the homology of pure graph braid groups Show Chinese title

Title: 纯图辫群同调中的渐近表示

Louis Hainaut, Ben Knudsen, Nicholas Wawrykow

Comments: 25 pages, 3 figures

Subjects: Algebraic Topology (math.AT) ; Geometric Topology (math.GT)

[31] arXiv:2510.00211 [cn-pdf, pdf, html, other]

Title: The Jones Polynomial of a Connect Sum is Multiplicative: A New Approach Via Trip Matrices Show Chinese title

Title: 琼斯多项式在连通和下是乘法的：通过三重矩阵的新方法

Molly A. Moran, Emerson Worrell

Subjects: Geometric Topology (math.GT)

[32] arXiv:2510.00214 [cn-pdf, pdf, html, other]

Title: On the local well-posedness of randomly forced reaction-diffusion equations with $L^2$ initial data and a superlinear reaction term Show Chinese title

Title: 关于带有$L^2$初始数据和超线性反应项的随机强迫反应扩散方程的局部适定性

Mohammud Foondun, Davar Khoshnevisan, Eulalia Nualart

Subjects: Probability (math.PR)

[33] arXiv:2510.00215 [cn-pdf, pdf, html, other]

Title: Continued Fractions and Irrationality Measures for Chowla--Selberg Gamma Quotients Show Chinese title

Title: 连分数和Chowla--Selberg伽马比的无理度量

Henri Cohen, Wadim Zudilin

Comments: 23 pages

Subjects: Number Theory (math.NT) ; Classical Analysis and ODEs (math.CA)

[34] arXiv:2510.00221 [cn-pdf, pdf, html, other]

Title: Asymptotically compatible entropy-consistent discretization for a class of nonlocal conservation laws Show Chinese title

Title: 非局部守恒定律一类的渐近相容熵一致离散化

Nicola De Nitti, Kuang Huang

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

[35] arXiv:2510.00223 [cn-pdf, pdf, html, other]

Title: A case for teaching about parameters in calculus courses Show Chinese title

Title: 微积分课程中关于参数的教学案例

Juliana Belding, Keaton Quinn

Subjects: History and Overview (math.HO)

[36] arXiv:2510.00226 [cn-pdf, pdf, html, other]

Title: On two-toned tilings and $(m,n)$-words Show Chinese title

Title: 关于双色铺砌和$(m,n)$-words

Henri Mühle

Comments: 5 pages, comments are very welcome

Subjects: Combinatorics (math.CO)

[37] arXiv:2510.00228 [cn-pdf, pdf, html, other]

Title: Radio gracefulness of Moore graphs and beyond Show Chinese title

Title: 莫尔图的无线电优美性及更广泛的研究

An Cao, Aleyah Dawkins, Julian Hutchins, Orlando Luce

Comments: 17 pages, 3 figures

Subjects: Combinatorics (math.CO)

[38] arXiv:2510.00241 [cn-pdf, pdf, html, other]

Title: Attack Detection in Dynamic Games with Quadratic Measurements Show Chinese title

Title: 带有二次测量的动态博弈中的攻击检测

Muyan Jiang, Anil Aswani

Subjects: Optimization and Control (math.OC)

[39] arXiv:2510.00242 [cn-pdf, pdf, html, other]

Title: Itô-Wentzell formulas for semimartingale conditional laws with applications to mean-field control Show Chinese title

Title: 伊藤-文策尔公式用于具有应用的半鞅条件分布的均场控制

Nizar Touzi, Mehdi Talbi

Subjects: Probability (math.PR)

[40] arXiv:2510.00247 [cn-pdf, pdf, html, other]

Title: The height function of a sparse collection: a Bellman function approach Show Chinese title

Title: 稀疏集的高函数：贝尔曼函数方法

Shivam Aggarwal, Samuel Hernandez, Irina Holmes Fay, Jennifer Mackenzie

Subjects: Classical Analysis and ODEs (math.CA)

[41] arXiv:2510.00250 [cn-pdf, pdf, other]

Title: Torus Actions on Matrix Schubert and Kazhdan-Lusztig Varieties, and their Links to Statistical Models Show Chinese title

Title: 环面在矩阵Schubert和Kazhdan-Lusztig簇上的作用及其与统计模型的联系

Elke Neuhaus, Irem Portakal, Niharika Chakrabarty Paul

Subjects: Algebraic Geometry (math.AG) ; Combinatorics (math.CO)

[42] arXiv:2510.00251 [cn-pdf, pdf, html, other]

Title: On the maximal size of $(a,b)$-town$\pmod k$ families Show Chinese title

Title: 关于$(a,b)$-town$\pmod k$类型的极大大小

Nikola Veselinov, Miroslav Marinov

Comments: 6 pages

Subjects: Combinatorics (math.CO)

[43] arXiv:2510.00257 (cross-list from cs.IT) [cn-pdf, pdf, html, other]

Title: An Adaptive cmWave/FR3 Channel Sounder for Integrated Sensing and Communication Show Chinese title

Title: 一种用于集成感知和通信的自适应厘米波/FR3信道探测器

K. F. Nieman, O. Kanhere, R. Shiu, W. Xu, C. Duan, S. S. Ghassemzadeh

Comments: GLOBECOM 2025 - 2025 IEEE Global Communications Conference, Taipei, Taiwan, Dec 2025

Subjects: Information Theory (cs.IT)

[44] arXiv:2510.00262 [cn-pdf, pdf, html, other]

Title: The spectral Sullivan conjecture Show Chinese title

Title: 谱Sullivan猜想

Ishan Levy

Comments: 7 pages

Subjects: Algebraic Topology (math.AT)

[45] arXiv:2510.00265 [cn-pdf, pdf, html, other]

Title: Very Weak Solutions and Asymptotic Behavior of Leray Solutions to the Stationary Navier-Stokes Equations Show Chinese title

Title: 非常弱解和定常Navier-Stokes方程Leray解的渐近行为

Giovanni Paolo Galdi

Subjects: Analysis of PDEs (math.AP) ; Mathematical Physics (math-ph)

[46] arXiv:2510.00269 (cross-list from cs.IT) [cn-pdf, pdf, html, other]

Title: Indoor-Office Large-Scale Wireless Channel Characterization in cmWave/FR3 Spectrum Show Chinese title

Title: 室内办公室厘米波/FR3频谱大尺度无线信道特性分析

O. Kanhere, K. F. Nieman, S. S. Ghassemzadeh

Comments: GLOBECOM 2025 - 2025 IEEE Global Communications Conference

Subjects: Information Theory (cs.IT)

[47] arXiv:2510.00270 [cn-pdf, pdf, html, other]

Title: Asynchronous Nonlinear Sheaf Diffusion for Multi-Agent Coordination Show Chinese title

Title: 异步非线性流形扩散用于多智能体协调

Yichen Zhao, Tyler Hanks, Hans Riess, Samuel Cohen, Matthew Hale, James Fairbanks

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

[48] arXiv:2510.00275 (cross-list from cs.IT) [cn-pdf, pdf, html, other]

Title: cmWave/FR3 Large-Scale Channel Characterization for Urban Macro/Micro and Suburban Environments Show Chinese title

Title: 厘米波/FR3城市宏/微和郊区环境的大规模信道特性分析

K. F. Nieman, O. Kanhere, S. S. Ghassemzadeh

Comments: GLOBECOM 2025 - 2025 IEEE Global Communications Conference

Subjects: Information Theory (cs.IT)

[49] arXiv:2510.00281 [cn-pdf, pdf, html, other]

Title: The Local Companion Points Conjecture Show Chinese title

Title: 局部伴点猜想

Lie Qian

Subjects: Number Theory (math.NT)

[50] arXiv:2510.00286 [cn-pdf, pdf, html, other]

Title: Teichmüller disks with small limit sets in PMF Show Chinese title

Title: 具有小极限集的PMF中的Teichmüller盘

Anna Lenzhen

Comments: 20 pages

Subjects: Geometric Topology (math.GT)