Mathematics

Authors and titles for July 2024

[1] arXiv:2407.00058 [cn-pdf, pdf, html, other]

Title: Arithmetic properties for generalized cubic partitions and overpartitions modulo a prime Show Chinese title

Title: 关于广义立方分区和过分区的算术性质模素数

Tewodros Amdeberhan, James A. Sellers, Ajit Singh

Comments: 11 pages

Journal-ref: Aequationes mathematicae, v. 99 (2025)

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

[2] arXiv:2407.00060 [cn-pdf, pdf, html, other]

Title: Sandwiching the Riemann hypothesis Show Chinese title

Title: 夹逼黎曼假设

R.C. McPhedran

Comments: 22 pages, 12 figures, 1 table

Subjects: General Mathematics (math.GM)

[3] arXiv:2407.00061 [cn-pdf, pdf, html, other]

Title: Probabilistic multi-Stirling numbers of the second kind and probabilistic multi-Lah numbers Show Chinese title

Title: 第二类概率多斯特林数和概率多拉赫数

Taekyun Kim, Dae san Kim

Comments: 11 pages

Subjects: Number Theory (math.NT)

[4] arXiv:2407.00076 [cn-pdf, pdf, html, other]

Title: Representations of the super-Yangian of type $D(n,m)$ Show Chinese title

Title: 超Yangian of 类型 $D(n,m)$的表示

A. I. Molev

Comments: 23 pages, extension of arXiv:2110.12784 to the series D(n,m)

Journal-ref: Alg. Rep. Theory 28 (2025), 25-45

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

[5] arXiv:2407.00083 [cn-pdf, pdf, html, other]

Title: A step to compute the determinant of finite semigroups not in ECom Show Chinese title

Title: 计算有限半群中不在 ECom 中的行列式的一步

M.H. Shahzamanian

Comments: arXiv admin note: text overlap with arXiv:2302.04316

Subjects: Group Theory (math.GR) ; Representation Theory (math.RT)

[6] arXiv:2407.00084 [cn-pdf, pdf, html, other]

Title: Lipschitz regularity for almost minimizers of a one-phase $p$-Bernoulli-type functional in Carnot Groups of step two Show Chinese title

Title: 关于几乎最小化器在一维$p$-伯努利型泛函在二步Carnot群中的Lipschitz正则性

Fausto Ferrari, Enzo Maria Merlino

Comments: 60 pages. arXiv admin note: substantial text overlap with arXiv:2311.02975

Subjects: Analysis of PDEs (math.AP)

[7] arXiv:2407.00094 [cn-pdf, pdf, html, other]

Title: Berwald $m$-Kropina Spaces of Arbitrary Signature: Metrizability and Ricci-Flatness Show Chinese title

Title: 伯威尔德$m$-克普林空间的任意符号：可度量化性和里奇平坦性

Sjors Heefer

Journal-ref: J. Math. Phys. 65, 122502 (2024)

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

[8] arXiv:2407.00103 [cn-pdf, pdf, html, other]

Title: Counting the Number of Domatic Partition of a Graph Show Chinese title

Title: 图的支配划分计数

Saeid Alikhani, Davood Bakhshesh, Nima Ghanbari

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

[9] arXiv:2407.00154 [cn-pdf, pdf, other]

Title: Perverse schobers, stability conditions and quadratic differentials II: relative graded Brauer graph algebras Show Chinese title

Title: 偏 perverse schobers，稳定性条件与二次微分 II：相对分级Brauer图代数

Merlin Christ, Fabian Haiden, Yu Qiu

Comments: 43 pages. This is the second part split from arXiv:2303.18249

Subjects: Representation Theory (math.RT) ; Geometric Topology (math.GT)

[10] arXiv:2407.00169 [cn-pdf, pdf, html, other]

Title: On Relative Cohomology in Lie Theory Show Chinese title

Title: 关于李理论中的相对上同调

Maria Amelia Salazar

Subjects: Differential Geometry (math.DG)

[11] arXiv:2407.00173 [cn-pdf, pdf, html, other]

Title: Approximate Solutions for Multi-Trip Route Planning in Time-Sensitive Situations Show Chinese title

Title: 时间敏感情况下的多行程路线规划的近似解

Bahar Cavdar, Joseph Geunes, Xiaofeng Nie, Yue Wang

Subjects: Optimization and Control (math.OC)

[12] arXiv:2407.00185 [cn-pdf, pdf, html, other]

Title: Shape optimization of non-matching isogeometric shells with moving intersections Show Chinese title

Title: 非匹配等几何壳体移动交线的形状优化

Han Zhao, John T. Hwang, J. S. Chen

Comments: 41 pages, 18 figures

Subjects: Optimization and Control (math.OC)

[13] arXiv:2407.00189 [cn-pdf, pdf, other]

Title: Spin Link Homology Show Chinese title

Title: 自旋链同调论

Elijah Bodish, Ben Elias, David E. V. Rose

Comments: 137 pages, including 3 appendices; many diagrams; best viewed in color; comments welcome!

Subjects: Quantum Algebra (math.QA) ; Geometric Topology (math.GT) ; Representation Theory (math.RT)

[14] arXiv:2407.00192 [cn-pdf, pdf, html, other]

Title: Analog version of Hausdorff--Young's theorem for quadratic Fourier transforms and boundedness of oscillatory integral operator Show Chinese title

Title: Hausdorff–Young定理的类比版本针对二次Fourier变换和振荡积分算子的有界性

Trinh Tuan, Lai Tien Minh

Comments: 7 pages

Subjects: Classical Analysis and ODEs (math.CA) ; Functional Analysis (math.FA)

[15] arXiv:2407.00198 [cn-pdf, pdf, other]

Title: Sequences of multiple products and cohomology classes for foliations of complex curves Show Chinese title

Title: 复曲线叶状结构的多重乘积序列和上同调类

A. Zuevsky

Subjects: Functional Analysis (math.FA)

[16] arXiv:2407.00204 [cn-pdf, pdf, other]

Title: The Honeymoon Oberwolfach Problem: small cases Show Chinese title

Title: 蜜月奥伯沃尔法赫问题：小案例

Marie Rose Jerade, Mateja Šajna

Subjects: Combinatorics (math.CO)

[17] arXiv:2407.00208 [cn-pdf, pdf, other]

Title: Moves for Bergman algebras Show Chinese title

Title: Bergman代数的变换

Raimund Preusser

Subjects: Rings and Algebras (math.RA)

[18] arXiv:2407.00212 [cn-pdf, pdf, html, other]

Title: Quadratic Optimal Control of Graphon Q-noise Linear Systems Show Chinese title

Title: 图论量子噪声线性系统的二次最优控制

Alex Dunyak, Peter E. Caines

Comments: 18 pages, 6 figures

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

[19] arXiv:2407.00216 [cn-pdf, pdf, html, other]

Title: Markov-bridge representation of ergodic large-deviation principles Show Chinese title

Title: 遍历大偏差原理的马尔可夫桥表示

D.R. Michiel Renger

Subjects: Probability (math.PR)

[20] arXiv:2407.00238 [cn-pdf, pdf, html, other]

Title: The Braid Indices of Pretzel Links: A Comprehensive Study, Part II Show Chinese title

Title: 扭结链的辫指数：全面研究，第二部分

Yuanan Diao, Claus Ernst, Gabor Hetyei

Comments: 29 pages, 13 figures

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

[21] arXiv:2407.00240 [cn-pdf, pdf, html, other]

Title: Exact mean and covariance formulas after diagonal transformations of a multivariate normal Show Chinese title

Title: 精确均值和协方差公式在多元正态分布的对角变换后的表达形式

Rebecca Morrison, Estelle Basor

Comments: 21 pages

Subjects: Statistics Theory (math.ST)

[22] arXiv:2407.00266 [cn-pdf, pdf, html, other]

Title: Vector-valued robust stochastic control Show Chinese title

Title: 向量值鲁棒随机控制

Igor Cialenco, Gabriela Kováčová

Subjects: Optimization and Control (math.OC) ; Portfolio Management (q-fin.PM)

[23] arXiv:2407.00270 [cn-pdf, pdf, html, other]

Title: Regularity of integral closures of edge ideals of weighted oriented graphs Show Chinese title

Title: 带权有向图的边理想的积分闭包的正则性

Nguyen Cong Minh, Thanh Vu, Guangjun Zhu

Subjects: Commutative Algebra (math.AC)

[24] arXiv:2407.00271 [cn-pdf, pdf, html, other]

Title: Minimum Reduced-Order Models via Causal Inference Show Chinese title

Title: 基于因果推理的最小降阶模型

Nan Chen, Honghu Liu

Subjects: Dynamical Systems (math.DS) ; Data Analysis, Statistics and Probability (physics.data-an) ; Machine Learning (stat.ML)

[25] arXiv:2407.00276 [cn-pdf, pdf, html, other]

Title: Rigid-Recurrent Sequences for Actions of Finite Exponent Groups Show Chinese title

Title: 有限指数群作用的刚性递归序列

Cash Cherry

Comments: 6 pages, submitted to Colloquium Mathematicum

Subjects: Dynamical Systems (math.DS)

[26] arXiv:2407.00277 [cn-pdf, pdf, html, other]

Title: A new characterization of the dissipation structure and the relaxation limit for the compressible Euler-Maxwell system Show Chinese title

Title: 关于可压缩欧拉-麦克斯韦系统耗散结构和松弛极限的一个新的刻画

Timothée Crin-Barat, Yue-Jun Peng, Ling-Yun Shou, Jiang Xu

Comments: 32pages

Subjects: Analysis of PDEs (math.AP)

[27] arXiv:2407.00288 [cn-pdf, pdf, html, other]

Title: A Rank-Two Case of Local-Global Compatibility for $l = p$ Show Chinese title

Title: 秩为二的局部-整体相容性$l = p$案例

Yuji Yang

Comments: 9 pages

Subjects: Number Theory (math.NT)

[28] arXiv:2407.00294 [cn-pdf, pdf, html, other]

Title: Deep Neural Networks with Symplectic Preservation Properties Show Chinese title

Title: 具有辛保性质的深度神经网络

Qing He, Wei Cai

Subjects: Numerical Analysis (math.NA) ; Machine Learning (cs.LG) ; Computational Physics (physics.comp-ph)

[29] arXiv:2407.00298 [cn-pdf, pdf, html, other]

Title: Real and complex K-theory for higher rank graph algebras arising from cube complexes Show Chinese title

Title: 关于源自立方复形的高秩图代数的实与复K-理论

Jeffrey L Boersema, Alina Vdovina

Journal-ref: Ann. K-Th. 10 (2025) 55-78

Subjects: Operator Algebras (math.OA)

[30] arXiv:2407.00300 [cn-pdf, pdf, other]

Title: On the near soliton dynamics for the 2D cubic Zakharov-Kuznetsov equations Show Chinese title

Title: 关于二维三次Zakharov-Kuznetsov方程的孤子动力学近似

Gong Chen, Yang Lan, Xu Yuan

Comments: 65 pages

Subjects: Analysis of PDEs (math.AP)

[31] arXiv:2407.00306 [cn-pdf, pdf, html, other]

Title: On the dimension of $s$-Nikodým sets Show Chinese title

Title: 关于$s$-Nikodým 集的维数

Damian Dąbrowski, Max Goering, Tuomas Orponen

Comments: 43 pages, 1 figure

Subjects: Classical Analysis and ODEs (math.CA)

[32] arXiv:2407.00307 [cn-pdf, pdf, html, other]

Title: Deterministic and Stochastic Frank-Wolfe Recursion on Probability Spaces Show Chinese title

Title: 确定性和随机Frank-Wolfe递归在概率空间上

Di Yu, Shane G. Henderson, Raghu Pasupathy

Comments: To appear in Mathematics of Operations Research

Subjects: Optimization and Control (math.OC) ; Computation (stat.CO)

[33] arXiv:2407.00314 [cn-pdf, pdf, html, other]

Title: The convergence and uniqueness of a discrete-time nonlinear Markov chain Show Chinese title

Title: 离散时间非线性马尔可夫链的收敛性和唯一性

Ruowei Li, Florentin Münch

Comments: 25 pages, 1 figure

Subjects: Dynamical Systems (math.DS)

[34] arXiv:2407.00321 [cn-pdf, pdf, html, other]

Title: Stability of travelling waves to Korteweg--de Vries type equations with fractional dispersion Show Chinese title

Title: 关于Korteweg–de Vries型方程族中带有分数阶色散的行波稳定性

Kaito Kokubu

Comments: 34 pages. The title of this preprint has been changed

Subjects: Analysis of PDEs (math.AP)

[35] arXiv:2407.00344 [cn-pdf, pdf, html, other]

Title: Log-Hölder regularity of stationary measures Show Chinese title

Title: 平稳测度的对数- Hölder 正则性

Grigorii Monakov

Comments: arXiv admin note: substantial text overlap with arXiv:2209.12342

Subjects: Dynamical Systems (math.DS)

[36] arXiv:2407.00353 [cn-pdf, pdf, html, other]

Title: New type of solutions for a critical Grushin-type problem with competing potentials Show Chinese title

Title: 具有竞争势能的临界Grushin型问题的新解类型

Wenjing Chen, Zexi Wang

Subjects: Analysis of PDEs (math.AP)

[37] arXiv:2407.00354 [cn-pdf, pdf, html, other]

Title: On selection dynamics for a nonlocal phenotype-structured model Show Chinese title

Title: 关于非局部表型结构模型的选择动力学

Shen Bian, Jiale Bu

Subjects: Analysis of PDEs (math.AP)

[38] arXiv:2407.00359 [cn-pdf, pdf, other]

Title: Multicriteria Optimization and Decision Making: Principles, Algorithms and Case Studies Show Chinese title

Title: 多准则优化与决策：原理、算法及案例研究

Michael Emmerich, André Deutz

Comments: 102 pages, Lecture notes

Subjects: Optimization and Control (math.OC) ; Numerical Analysis (math.NA)

[39] arXiv:2407.00374 [cn-pdf, pdf, html, other]

Title: Monogenity and Power Integral Bases: Recent Developments Show Chinese title

Title: 单演性与幂积分基：近期发展

István Gaál

Journal-ref: published, Axioms 2024

Subjects: Number Theory (math.NT)

[40] arXiv:2407.00382 [cn-pdf, pdf, html, other]

Title: Towards Universal Mesh Movement Networks Show Chinese title

Title: 迈向通用网格移动网络

Mingrui Zhang, Chunyang Wang, Stephan Kramer, Joseph G. Wallwork, Siyi Li, Jiancheng Liu, Xiang Chen, Matthew D. Piggott

Comments: Accepted at NeurIPS 2024 as a spotlight paper

Subjects: Numerical Analysis (math.NA) ; Artificial Intelligence (cs.AI) ; Computational Engineering, Finance, and Science (cs.CE) ; Machine Learning (cs.LG)

[41] arXiv:2407.00387 [cn-pdf, pdf, html, other]

Title: Asymptotic stability of delayed complex balanced reaction networks with non-mass action kinetics Show Chinese title

Title: 具有非质量作用动力学的时滞复杂平衡反应网络的渐近稳定性

Mihály András Vághy, Gábor Szederkényi

Subjects: Dynamical Systems (math.DS)

[42] arXiv:2407.00388 [cn-pdf, pdf, html, other]

Title: Weighted mesh algorithms for general Markov decision processes: Convergence and tractability Show Chinese title

Title: 加权网格算法在一般马尔可夫决策过程中的收敛性和可处理性

Denis Belomestny, John Schoenmakers

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

[43] arXiv:2407.00395 [cn-pdf, pdf, html, other]

Title: Regular Lagrangians are smooth Lagrangians Show Chinese title

Title: 正则拉格朗日量是光滑的拉格朗日量

Tomohiro Asano, Stéphane Guillermou, Yuichi Ike, Claude Viterbo

Comments: 16 pages, 2 figures. v2: Revised, to appear in J. Math. Soc. Japan

Subjects: Symplectic Geometry (math.SG) ; Algebraic Topology (math.AT) ; Category Theory (math.CT)

[44] arXiv:2407.00398 [cn-pdf, pdf, html, other]

Title: Stable STFT phase retrieval and Poincaré inequalities Show Chinese title

Title: 稳定STFT相位恢复与Poincaré不等式

Martin Rathmair

Comments: 21 pages, 2 figures

Subjects: Functional Analysis (math.FA) ; Classical Analysis and ODEs (math.CA)

[45] arXiv:2407.00399 [cn-pdf, pdf, html, other]

Title: Reaction-diffusion systems in annular domains: source stability estimates with boundary observations Show Chinese title

Title: 环形域中的反应扩散系统：基于边界观测的源稳定性估计

Catalin-George Lefter, Elena-Alexandra Melnig

Subjects: Analysis of PDEs (math.AP)

[46] arXiv:2407.00403 [cn-pdf, pdf, html, other]

Title: Multiple zeta values with varying constant fields Show Chinese title

Title: 变域常数域的多重 zeta 值

Daichi Matsuzuki

Subjects: Number Theory (math.NT)

[47] arXiv:2407.00406 [cn-pdf, pdf, html, other]

Title: $RLL$-Realization and Its Hopf Superalgebra Structure of $U_{p, q}(\widehat{\mathfrak{gl}(m|n))}$ Show Chinese title

Title: $RLL$- 实现及其 Hopf 超代数结构$U_{p, q}(\widehat{\mathfrak{gl}(m|n))}$

Naihong Hu, Naihuan Jing, Xin Zhong

Comments: 20 pages, update

Journal-ref: J. Math. Phys. 65, 123501 (2024)

Subjects: Quantum Algebra (math.QA)

[48] arXiv:2407.00413 [cn-pdf, pdf, html, other]

Title: Monogenic trinomials of the form $x^4+ax^3+d$ and their Galois groups Show Chinese title

Title: 单伽罗瓦群的三项式$x^4+ax^3+d$的形式及其伽罗瓦群

Joshua Harrington, Lenny Jones

Subjects: Number Theory (math.NT)

[49] arXiv:2407.00422 [cn-pdf, pdf, html, other]

Title: On the injectivity of mean value mappings between quadrilaterals Show Chinese title

Title: 关于四边形之间平均值映射的单射性

Michael S. Floater, Georg Muntingh

Comments: Barycentric mapping, mean value coordinates, injectivity, Jacobian determinant

Subjects: Numerical Analysis (math.NA)

[50] arXiv:2407.00425 [cn-pdf, pdf, html, other]

Title: Stability and Convergence Analysis of an Exact Finite Difference Scheme for Fredholm Integro-Differential Equations Show Chinese title

Title: 弗雷德霍姆积分微分方程精确有限差分格式的稳定性与收敛性分析

Mehebub Alam, Rajni Kant Pandey

Subjects: Numerical Analysis (math.NA)