Mathematics

Authors and titles for March 2025

[1] arXiv:2503.00001 [cn-pdf, pdf, html, other]

Title: A classification of restrictive polynomial correspondences Show Chinese title

Title: 限制性多项式对应关系的分类

Bharath Krishna Seshadri, Shrihari Sridharan

Comments: 18 pages

Subjects: General Mathematics (math.GM)

[2] arXiv:2503.00004 [cn-pdf, pdf, other]

Title: Congruences modulo arbitrary powers of $5$ and $7$ for Andrews and Paule's partition diamonds with $(n+1)$ copies of $n$ Show Chinese title

Title: 关于安德鲁斯和鲍尔分区钻石的同余式模任意幂次的 $5$ 和 $7$ ，其中包含 $(n+1)$ 份 $n$

Julia Q.D. Du, Olivia X.M. Yao

Subjects: Number Theory (math.NT)

[3] arXiv:2503.00006 [cn-pdf, pdf, html, other]

Title: Classification of states on certain orthomodular structures Show Chinese title

Title: 状态在某些正交模结构上的分类

Lavinia Corina Ciungu

Subjects: Quantum Algebra (math.QA)

[4] arXiv:2503.00009 [cn-pdf, pdf, html, other]

Title: Orbit recovery from invariants of low degree in representations of finite groups Show Chinese title

Title: 有限群表示中低次不变量的轨道恢复

Dan Edidin, Josh Katz

Comments: 5 pages. A version of this material originally appeared in arXiv:2408.09599. However, that paper has been split into two separate articles. The first is now a revision of arXiv:2408.09599 and second is this paper

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

[5] arXiv:2503.00010 [cn-pdf, pdf, html, other]

Title: Wakamatsu-tilting subcategories in extriangulated categories Show Chinese title

Title: 外延范畴中的Wakamatsu-倾斜子范畴

Zhiwei Zhu, Jiaqun Wei

Comments: 18 pages

Subjects: Representation Theory (math.RT) ; Category Theory (math.CT)

[6] arXiv:2503.00014 [cn-pdf, pdf, html, other]

Title: LSD of the Commutator of two data Matrices Show Chinese title

Title: 两个数据矩阵的交换子的LSD

Javed Hazarika, Debashis Paul

Comments: arXiv admin note: substantial text overlap with arXiv:2409.16780

Subjects: Statistics Theory (math.ST) ; Probability (math.PR)

[7] arXiv:2503.00017 (cross-list from math-ph) [cn-pdf, pdf, html, other]

Title: Rozenfeld's Geometric Approach to Spinors Show Chinese title

Title: 罗岑菲尔德的自旋几何方法

V.V. Varlamov

Comments: 18 pages

Subjects: Mathematical Physics (math-ph)

[8] arXiv:2503.00021 [cn-pdf, pdf, html, other]

Title: New properties of length-extremals in free step-2 rank-4 Carnot groups Show Chinese title

Title: 自由步-2 秩-4 Carnot 群中长度极值的新性质

Annamaria Montanari, Daniele Morbidelli

Subjects: Metric Geometry (math.MG) ; Classical Analysis and ODEs (math.CA)

[9] arXiv:2503.00123 [cn-pdf, pdf, html, other]

Title: A symplectic viewpoint on Anosov flows Show Chinese title

Title: 辛观点下的安诺索夫流

Thomas Massoni

Comments: 32 pages, 2 figures. V2: minor modifications and corrections based on anonymous referee suggestions. To appear in the Proceedings of the workshop "Symplectic geometry and Anosov flows" published by the Journal of Fixed Point Theory and Applications

Subjects: Symplectic Geometry (math.SG) ; Dynamical Systems (math.DS)

[10] arXiv:2503.00129 [cn-pdf, pdf, html, other]

Title: The Zakharov System on the Upper Half-Plane Show Chinese title

Title: Zakharov系统在上半平面上

M. B. Erdoğan, N. Tzirakis

Comments: 35 pages

Subjects: Analysis of PDEs (math.AP)

[11] arXiv:2503.00141 [cn-pdf, pdf, other]

Title: $U$-Operators Acting on Harmonic Cocycles for $\mathrm{GL}_3$ and Their Slopes Show Chinese title

Title: $U$-作用于$\mathrm{GL}_3$的调和余循环的算子及其斜率

Gebhard Boeckle, Peter Mathias Graef, Theresa Kaiser

Comments: 49 pages, 4 figures, 2 tables

Subjects: Number Theory (math.NT)

[12] arXiv:2503.00146 [cn-pdf, pdf, html, other]

Title: Multigrid Preconditioning for FD-DLM Method in Elliptic Interface Problems Show Chinese title

Title: 椭圆界面问题中FD-DLM方法的多重网格预条件器

Najwa Alshehri, Daniele Boffi, Chayapol Chaoveeraprasit

Subjects: Numerical Analysis (math.NA)

[13] arXiv:2503.00153 [cn-pdf, pdf, html, other]

Title: On $L_p$ Brunn-Minkowski type inequalities for a general class of functionals Show Chinese title

Title: 关于一般函数类的$L_p$型Brunn-Minkowski不等式

Lidia Gordo Malagón, Jesús Yepes Nicolás

Comments: Improved presentation. Corrected typos. Main results unchanged

Subjects: Metric Geometry (math.MG) ; Functional Analysis (math.FA)

[14] arXiv:2503.00157 [cn-pdf, pdf, html, other]

Title: Long-time propagation of chaos and exit times for metastable mean-field particle systems Show Chinese title

Title: 长时间传播的混沌性和亚稳态平均场粒子系统的退出时间

Pierre Monmarché

Subjects: Probability (math.PR) ; Mathematical Physics (math-ph)

[15] arXiv:2503.00158 [cn-pdf, pdf, html, other]

Title: A regularization of incompressible Stokes problem with Tresca friction condition Show Chinese title

Title: 不可压缩Stokes问题带有Tresca摩擦条件的正则化

A. Zafrar

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

[16] arXiv:2503.00160 [cn-pdf, pdf, html, other]

Title: Accelerated windowing for the crew rostering problem with machine learning Show Chinese title

Title: 带机器学习的乘务排班问题的加速窗口方法

Philippe Racette, Frédéric Quesnel, Andrea Lodi, François Soumis

Subjects: Optimization and Control (math.OC)

[17] arXiv:2503.00173 [cn-pdf, pdf, html, other]

Title: Continous linear canonical Dunkl wavelet transform: properties and applications Show Chinese title

Title: 连续线性Canonical Dunkl小波变换：性质与应用

Ahmed Saoudi, Imen Kallel

Subjects: Classical Analysis and ODEs (math.CA) ; Mathematical Physics (math-ph)

[18] arXiv:2503.00178 [cn-pdf, pdf, html, other]

Title: Aspects of a Generalized Theory of Sparsity based Inference in Linear Inverse Problems Show Chinese title

Title: 基于稀疏性的线性逆问题推断的广义理论方面

Ryan O'Dowd, Raghu G. Raj, Hrushikesh N. Mhaskar

Subjects: Statistics Theory (math.ST)

[19] arXiv:2503.00181 [cn-pdf, pdf, other]

Title: Rational parking functions and $(m, n)$-invariant sets Show Chinese title

Title: 有理停车函数和$(m, n)$-不变集

Garrett Nelson

Comments: 21 pages, 7 figures

Subjects: Combinatorics (math.CO)

[20] arXiv:2503.00183 [cn-pdf, pdf, html, other]

Title: On smooth-group actions on reductive groups and spherical buildings Show Chinese title

Title: 关于约化群和球面建筑上的光滑群作用

Jeffrey D. Adler, Joshua M. Lansky, Loren Spice

Comments: With an appendix by Sean Cotner, Joshua M. Lansky, and Loren Spice. v2: revisions to appendix

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

[21] arXiv:2503.00185 [cn-pdf, pdf, html, other]

Title: On the fixed-point proportion of self-similar groups Show Chinese title

Title: 关于自相似群的不动点比例

Jorge Fariña-Asategui, Santiago Radi

Comments: 18 pages, 2 figures

Subjects: Group Theory (math.GR)

[22] arXiv:2503.00189 [cn-pdf, pdf, html, other]

Title: Coloring one-headed directed hypergraphs Show Chinese title

Title: 单头有向超图的着色问题

Balázs István Szabó

Subjects: Combinatorics (math.CO)

[23] arXiv:2503.00207 [cn-pdf, pdf, html, other]

Title: Strict fixed point problem, stability results and retraction displacement condition for Picard operators Show Chinese title

Title: Picard算子的严格不动点问题、稳定性结果与收缩位移条件

Cristina Gheorghe, Adrian Petruşel

Comments: Accepted for publication in Journal of Nonlinear and Convex Analysis for some late issue of 2025

Subjects: Functional Analysis (math.FA)

[24] arXiv:2503.00212 [cn-pdf, pdf, html, other]

Title: Flat grazes of convex bodies and local characterization of quadrics Show Chinese title

Title: 凸体的平坦区域和二次曲面的局部特征 characterization

Jesús Jerónimo-Castro, Luis Montejano, Efrén Morales-Amaya

Subjects: Metric Geometry (math.MG)

[25] arXiv:2503.00220 [cn-pdf, pdf, html, other]

Title: A Few Observations on Sample-Conditional Coverage in Conformal Prediction Show Chinese title

Title: 关于一致性预测中样本条件覆盖率的一些观察

John C. Duchi

Comments: 28 pages, 3 figures

Subjects: Statistics Theory (math.ST)