Mathematics

Authors and titles for March 2025

[151] arXiv:2503.00997 [cn-pdf, pdf, html, other]

Title: Non Null-Controllability Properties of the Grushin-Like Heat Equation on 2D-Manifolds Show Chinese title

Title: 具Grushin型热方程在二维流形上的非零能控性性质

Roman Vanlaere

Subjects: Optimization and Control (math.OC) ; Analysis of PDEs (math.AP)

[152] arXiv:2503.01002 [cn-pdf, pdf, html, other]

Title: Multiplicative structures on comodules in higher categories Show Chinese title

Title: 高阶范畴中余模的乘法结构

Takeshi Torii

Comments: 19 pages

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

[153] arXiv:2503.01004 [cn-pdf, pdf, other]

Title: Tail Asymptotics of Cluster Sizes in Multivariate Heavy-Tailed Hawkes Processes Show Chinese title

Title: 尾部渐近性在多变量重尾霍克斯过程中的聚类大小

Jose Blanchet, Roger J. A. Laeven, Xingyu Wang, Bert Zwart

Subjects: Probability (math.PR)

[154] arXiv:2503.01005 [cn-pdf, pdf, html, other]

Title: Optimal Trickle-Down Theorems for Path Complexes via C-Lorentzian Polynomials with Applications to Sampling and Log-Concave Sequences Show Chinese title

Title: 通过C-Lorentzian多项式对路径复形的最优逐级下降定理及其在采样和对数凹序列中的应用

Jonathan Leake, Kasper Lindberg, Shayan Oveis Gharan

Subjects: Combinatorics (math.CO) ; Computational Complexity (cs.CC) ; Data Structures and Algorithms (cs.DS)

[155] arXiv:2503.01008 [cn-pdf, pdf, html, other]

Title: Stability of a Stationary Solution to a 1-D Model for the MHD Show Chinese title

Title: 一维MHD模型的定态解的稳定性

Yunhao Sun

Subjects: Analysis of PDEs (math.AP)

[156] arXiv:2503.01010 [cn-pdf, pdf, html, other]

Title: Coupled general Riemann problems for the Euler equations Show Chinese title

Title: 耦合的广义黎曼问题对于欧拉方程

Zhifang Du, Aleksey Sikstel

Subjects: Numerical Analysis (math.NA)

[157] arXiv:2503.01021 [cn-pdf, pdf, html, other]

Title: Combinatorial and Computational Insights about Patient-to-room Assignment under Consideration of Roommate Compatibility Show Chinese title

Title: 考虑室友兼容性的患者-病房分配的组合与计算见解

Tabea Brandt, Christina Büsing, Felix Engelhardt

Subjects: Optimization and Control (math.OC)

[158] arXiv:2503.01023 [cn-pdf, pdf, html, other]

Title: Generic Antiholomorphic Polynomial Vector Fields Show Chinese title

Title: 通用反全纯多项式向量场

Jonathan Godin, Jérémy Perazzelli

Comments: 24 pages, 13 figures

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

[159] arXiv:2503.01026 [cn-pdf, pdf, html, other]

Title: The Narayana Morphism and Related Words Show Chinese title

Title: 纳拉亚纳同态及相关词

Jeffrey Shallit

Subjects: Combinatorics (math.CO) ; Discrete Mathematics (cs.DM) ; Formal Languages and Automata Theory (cs.FL) ; Number Theory (math.NT)

[160] arXiv:2503.01027 [cn-pdf, pdf, html, other]

Title: Factorization length distribution for affine semigroups V: explicit asymptotic behavior of weighted factorization lengths on numerical semigroups Show Chinese title

Title: 仿射半群的因式分解长度分布 V：数值半群上加权因式分解长度的显式渐近行为

Stephan Ramon Garcia, Gabe Udell

Comments: 32 pages

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

[161] arXiv:2503.01032 [cn-pdf, pdf, html, other]

Title: On a problem of Caro on $\mathbb{Z}_3$-Ramsey number of forests Show Chinese title

Title: 关于Caro提出的森林的$\mathbb{Z}_3$- Ramsey数问题

José D. Alvarado, Lucas Colucci, Roberto Parente

Comments: This version adds more figures, includes the original conjecture, and corrects minor typos

Subjects: Combinatorics (math.CO)

[162] arXiv:2503.01042 [cn-pdf, pdf, html, other]

Title: Continuous-time mean field games: a primal-dual characterization Show Chinese title

Title: 连续时间平均场博弈：原始-对偶特征描述

Xin Guo, Anran Hu, Jiacheng Zhang, Yufei Zhang

Subjects: Optimization and Control (math.OC) ; Probability (math.PR)

[163] arXiv:2503.01043 [cn-pdf, pdf, other]

Title: Construction of logarithmic cohomology theories I Show Chinese title

Title: 对数上同调理论的构造 I

Doosung Park

Comments: 80 pages, Section 1.7 was updated

Subjects: Algebraic Geometry (math.AG) ; K-Theory and Homology (math.KT)

[164] arXiv:2503.01056 [cn-pdf, pdf, html, other]

Title: Complexity of Linearized Perturbed Augmented Lagrangian Methods for Nonsmooth Nonconvex Optimization with Nonlinear Equality Constraints Show Chinese title

Title: 非光滑非凸优化问题中带有非线性等式约束的线性化扰动增广拉格朗日方法的复杂度

Lahcen El Bourkhissi, Ion Necoara, Panagiotis Patrinos, Quoc Tran-Dinh

Comments: 37 pages, February 2025

Subjects: Optimization and Control (math.OC)

[165] arXiv:2503.01057 [cn-pdf, pdf, html, other]

Title: Sparse Randomized Approximation of Normal Cycles Show Chinese title

Title: 稀疏随机化近似法的正常周期

Allen Paul, Neill Campbell, Tony Shardlow

Subjects: Numerical Analysis (math.NA)

[166] arXiv:2503.01059 [cn-pdf, pdf, html, other]

Title: Generically surjective morphisms of holomorphic vector bundles via degenerations Show Chinese title

Title: 通过退化实现全纯向量丛的通常满态射

Roberto Albesiano

Comments: 18 pages, comments welcome

Subjects: Complex Variables (math.CV) ; Algebraic Geometry (math.AG) ; Differential Geometry (math.DG)

[167] arXiv:2503.01060 [cn-pdf, pdf, html, other]

Title: Convergence rates for an inexact linearized ADMM for nonsmooth nonconvex optimization with nonlinear equality constraints Show Chinese title

Title: 非光滑非凸优化问题中带非线性等式约束的不精确线性化ADMM的收敛速率

Lahcen El Bourkhissi, Ion Necoara

Comments: 39 pages, February 2024

Subjects: Optimization and Control (math.OC)

[168] arXiv:2503.01061 [cn-pdf, pdf, html, other]

Title: From division to extension Show Chinese title

Title: 从除法到扩展

Roberto Albesiano

Comments: 14 pages, comments welcome!

Subjects: Complex Variables (math.CV) ; Algebraic Geometry (math.AG) ; Differential Geometry (math.DG)

[169] arXiv:2503.01070 [cn-pdf, pdf, html, other]

Title: An adaptive forward-backward-forward splitting algorithm for solving pseudo-monotone inclusions Show Chinese title

Title: 一种求解伪单调包含的自适应前向后向分裂算法

Flavia Chorobura, Ion Necoara, Jean-Christophe Pesquet

Comments: 39 pages, March 2024

Subjects: Optimization and Control (math.OC)

[170] arXiv:2503.01083 [cn-pdf, pdf, html, other]

Title: Orlov's theorem over a quasiexcellent ring Show Chinese title

Title: 奥尔洛夫定理在准卓越环上

Fei Peng

Comments: 15 pages, comments welcome!

Subjects: Algebraic Geometry (math.AG)

[171] arXiv:2503.01084 [cn-pdf, pdf, html, other]

Title: Spectral (0,4)-tensor functionals and the noncommutative residue Show Chinese title

Title: 谱(0,4)张量泛函和非交换余数

Hongfeng Li, Yong Wang

Comments: arXiv admin note: substantial text overlap with arXiv:2502.06224

Subjects: Differential Geometry (math.DG)

[172] arXiv:2503.01094 [cn-pdf, pdf, html, other]

Title: Hardy's Theorem for the $(k,\frac{2}{n})-$Fourier Transform Show Chinese title

Title: 哈代的关于$(k,\frac{2}{n})-$傅里叶变换定理

Hanen Jilani, Selma Negzaoui

Subjects: Classical Analysis and ODEs (math.CA)

[173] arXiv:2503.01104 [cn-pdf, pdf, html, other]

Title: The Axial Electric Potential and Length of a Torus Knot Show Chinese title

Title: 轴向电势和环索结的长度

Henry Jiang

Comments: 14 pages, 11 figures

Subjects: Complex Variables (math.CV) ; Geometric Topology (math.GT)

[174] arXiv:2503.01110 [cn-pdf, pdf, html, other]

Title: Steepest Descent Algorithm for M-convex Function Minimization Using Long Step Length Show Chinese title

Title: 使用长步长的M-凸函数最小化最速下降算法

Taihei Oki, Akiyoshi Shioura

Subjects: Optimization and Control (math.OC)

[175] arXiv:2503.01118 (cross-list from cs.IT) [cn-pdf, pdf, html, other]

Title: The dimension and Bose distance of certain primitive BCH codes Show Chinese title

Title: 某些原始BCH码的维数和玻色距离

Run Zheng, Nung-Sing Sze, Zejun Huang

Subjects: Information Theory (cs.IT)

[176] arXiv:2503.01123 [cn-pdf, pdf, html, other]

Title: Rational sequential parametrized topological complexity Show Chinese title

Title: 有理序列参数化拓扑复杂性

Yuki Minowa

Comments: 16 pages

Subjects: Algebraic Topology (math.AT)

[177] arXiv:2503.01166 [cn-pdf, pdf, html, other]

Title: Simultaneous block diagonalization of a set of symmetric matrices via congruence Show Chinese title

Title: 通过合同关系对一组对称矩阵进行同时块对角化

Lishan Fang, Hua-Lin Huang, Jiayan Huang

Subjects: Rings and Algebras (math.RA)

[178] arXiv:2503.01168 [cn-pdf, pdf, html, other]

Title: Relativistic BGK model of Marle for polyatomic gases near equilibrium Show Chinese title

Title: 相对论Marle BGK模型用于接近平衡的多原子气体

Byung-Hoon Hwang

Subjects: Analysis of PDEs (math.AP)

[179] arXiv:2503.01170 [cn-pdf, pdf, html, other]

Title: Non-singular weakly symmetric nilmanifolds Show Chinese title

Title: 非奇异弱对称尼尔曼流形

Y. Nikolayevsky, W. Ziller

Comments: 11

Subjects: Differential Geometry (math.DG)

[180] arXiv:2503.01182 [cn-pdf, pdf, html, other]

Title: Nonmonotone higher-order Taylor approximation methods for composite problems Show Chinese title

Title: 非单调高阶泰勒逼近方法求解复合问题

Yassine Nabou

Subjects: Optimization and Control (math.OC)

[181] arXiv:2503.01188 [cn-pdf, pdf, html, other]

Title: Quillen equivalence for chain homotopy categories induced by balanced pairs Show Chinese title

Title: 由平衡对引起的链同伦范畴的Quillen等价

Jiangsheng Hu, Wei Ren, Xiaoyan Yang, Hanyang You

Comments: 23 pages

Subjects: Representation Theory (math.RT) ; Category Theory (math.CT) ; Rings and Algebras (math.RA)

[182] arXiv:2503.01191 [cn-pdf, pdf, html, other]

Title: Completeness theorems for modal logic in second-order arithmetic Show Chinese title

Title: 二阶算术中的模态逻辑完备性定理

Sho Shimomichi, Yuto Takeda, Keita Yokoyama

Subjects: Logic (math.LO)

[183] arXiv:2503.01205 [cn-pdf, pdf, html, other]

Title: Simultaneous direct sum decompositions of several multivariate polynomials Show Chinese title

Title: 几个多元多项式的同步直接和分解

Lishan Fang, Hua-Lin Huang, Lili Liao

Subjects: Rings and Algebras (math.RA)

[184] arXiv:2503.01209 [cn-pdf, pdf, other]

Title: Transformations of order one and quadratic forms on Wiener spaces Show Chinese title

Title: 一阶变换和维纳空间上的二次型

Setsuo Taniguchi

Subjects: Probability (math.PR)

[185] arXiv:2503.01225 [cn-pdf, pdf, html, other]

Title: On the convexity for the range set of two quadratic functions Show Chinese title

Title: 关于两个二次函数值域集合的凸性

Huu-Quang Nguyen, Ya-Chi Chu, Ruey-Lin Sheu

Journal-ref: Journal of Industrial and Management Optimization, 18(1), pp. 575-592 (2022)

Subjects: Optimization and Control (math.OC)

[186] arXiv:2503.01231 [cn-pdf, pdf, html, other]

Title: Change of basis for the tridiagonal pairs of type II Show Chinese title

Title: II型三对角对的基变换

Nicolas Crampe, Julien Gaboriaud, Satoshi Tsujimoto

Comments: 19 pages

Subjects: Rings and Algebras (math.RA) ; Mathematical Physics (math-ph)

[187] arXiv:2503.01239 [cn-pdf, pdf, html, other]

Title: Structure-preserving and thermodynamically consistent finite element discretization for visco-resistive MHD with thermoelectric effect Show Chinese title

Title: 保持结构和热力学一致的有限元离散化方法用于具有热电效应的粘滞电阻磁流体动力学

Evan S. Gawlik, François Gay-Balmaz, Bastien Manach-Pérennou

Journal-ref: Journal of Computational Physics, Volume 542, 2025, 114336

Subjects: Numerical Analysis (math.NA)

[188] arXiv:2503.01240 [cn-pdf, pdf, html, other]

Title: Hormander-Mikhlin type theorem on non-commutative spaces Show Chinese title

Title: 非交换空间上的Hormander-Mikhlin型定理

Rauan Akylzhanov, Michael Ruzhansky, Kanat Tulenov

Comments: 18 pages

Subjects: Operator Algebras (math.OA) ; Quantum Algebra (math.QA)

[189] arXiv:2503.01241 [cn-pdf, pdf, html, other]

Title: On Dynamical System and Topological Transitivity via Ideals Show Chinese title

Title: 关于通过理想的动力系统和拓扑遍历性

Chhapikul Miah, Shyamapada Modak

Subjects: General Topology (math.GN)

[190] arXiv:2503.01246 [cn-pdf, pdf, html, other]

Title: Boundary determination for the Schrödinger equation with unknown embedded obstacles by local data Show Chinese title

Title: 薛定谔方程未知嵌入障碍物的边界确定通过局部数据

Chengyu Wu, Jiaqing Yang

Subjects: Analysis of PDEs (math.AP)

[191] arXiv:2503.01249 [cn-pdf, pdf, html, other]

Title: The Serre-Swan Theorem in supergeometry Show Chinese title

Title: 超几何中的塞尔-斯瓦恩定理

Archana S. Morye, Abhay Soman, V. Devichandrika

Subjects: Algebraic Geometry (math.AG) ; Mathematical Physics (math-ph)

[192] arXiv:2503.01267 (cross-list from math-ph) [cn-pdf, pdf, other]

Title: Riemann-Hilbert approach to the Algebro-Geometric solution of the modified Camassa-Holm equation with linear dispersion term Show Chinese title

Title: 黎曼-希尔伯特方法在含线性色散项的修正卡马斯-霍姆方程的代数几何解中的应用

Engui Fan, Gaozhan Li, Yiling Yang

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

[193] arXiv:2503.01270 [cn-pdf, pdf, html, other]

Title: Convergence of the Euler-Voigt equations to the Euler equations in two dimensions Show Chinese title

Title: 二维空间中欧拉-沃特方程到欧拉方程的收敛性

Stefano Abbate, Luigi C. Berselli, Gianluca Crippa, Stefano Spirito

Subjects: Analysis of PDEs (math.AP)

[194] arXiv:2503.01276 [cn-pdf, pdf, html, other]

Title: A hierarchical approach for multicontinuum homogenization in high contrast media Show Chinese title

Title: 高对比度介质中多连续介质均匀化的分层方法

Wei Xie, Viet Ha Hoang, Yin Yang, Yunqing Huang

Subjects: Numerical Analysis (math.NA)

[195] arXiv:2503.01289 [cn-pdf, pdf, other]

Title: Very stable regular $G$-Higgs bundles Show Chinese title

Title: 非常稳定的正则$G$-希格斯丛

Miguel González

Comments: 32 pages, comments are welcome

Subjects: Algebraic Geometry (math.AG) ; Differential Geometry (math.DG)

[196] arXiv:2503.01296 [cn-pdf, pdf, html, other]

Title: On the separating Noether number of finite abelian groups Show Chinese title

Title: 关于有限交换群的分离诺特数

Barna Schefler, Kevin Zhao, Qinghai Zhong

Subjects: Commutative Algebra (math.AC) ; Number Theory (math.NT)

[197] arXiv:2503.01316 [cn-pdf, pdf, other]

Title: Deformation theory and Koszul duality for Rota-Baxter systems Show Chinese title

Title: 变形理论与Rota-Baxter系统之间的Koszul对偶性

Yufei Qin, Kai Wang, Guodong Zhou

Subjects: Rings and Algebras (math.RA) ; Representation Theory (math.RT)

[198] arXiv:2503.01320 [cn-pdf, pdf, html, other]

Title: Masses of blocks of the $Λ$-coalescent with dust via stochastic flows Show Chinese title

Title: 具有尘埃的$Λ$-共轭块的质量通过随机流

Grégoire Véchambre

Comments: 47 pages

Subjects: Probability (math.PR)

[199] arXiv:2503.01325 [cn-pdf, pdf, html, other]

Title: Towards net-zero manufacturing: carbon-aware scheduling for GHG emissions reduction Show Chinese title

Title: 迈向净零制造：减少温室气体排放的碳感知调度

Andrea Mencaroni, Pieter Leyman, Birger Raa, Stijn De Vuyst, Dieter Claeys

Subjects: Optimization and Control (math.OC) ; Neural and Evolutionary Computing (cs.NE)

[200] arXiv:2503.01331 [cn-pdf, pdf, html, other]

Title: A Family of Semi-norms in $C^*$-algebras Show Chinese title

Title: $C^*$-代数中的一个半范数族

Athul Augustine, Pintu Bhunia, P. Shankar

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