Mathematics

Authors and titles for December 2022

[1701] arXiv:2212.08574 [pdf, other]

Title: An infinite family of vector-valued mock theta functions

Nickolas Andersen, Clayton Williams

Comments: 8 pages

Subjects: Number Theory (math.NT)

[1702] arXiv:2212.08575 [pdf, other]

Title: Global strong solutions of the coupled Klein-Gordon-Schr\"{o}dinger equations

Tohru Ozawa, Kenta Tomioka

Subjects: Analysis of PDEs (math.AP)

[1703] arXiv:2212.08580 [pdf, other]

Title: Nested Gradient Codes for Straggler Mitigation in Distributed Machine Learning

Luis Maßny, Christoph Hofmeister, Maximilian Egger, Rawad Bitar, Antonia Wachter-Zeh

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

[1704] arXiv:2212.08588 [pdf, other]

Title: Multi-channel ALOHA and CSMA medium-access protocols: Markovian description and large deviations

Wolfgang König, Helia Shafigh

Subjects: Probability (math.PR)

[1705] arXiv:2212.08592 [pdf, other]

Title: On the Convergence of Random Fourier--Jacobi Series in $L_{[-1,1]}^{p,(\eta,\tau)}$ space

Partiswari Maharana, Sabita Sahoo

Comments: 14

Subjects: Functional Analysis (math.FA)

[1706] arXiv:2212.08599 [pdf, other]

Title: Computing Well-Covered Vector Spaces of Graphs using Modular Decomposition

Martin Milanič, Nevena Pivač

Comments: 25 pages

Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM); Data Structures and Algorithms (cs.DS)

[1707] arXiv:2212.08603 [pdf, other]

Title: Four-dimensional SO(3)-spherically symmetric Berwald Finsler spaces

Samira Cheraghchi, Christian Pfeifer, Nicoleta Voicu

Comments: 24 pages

Journal-ref: International Journal of Geometric Methods in Modern Physics Vol. 20 No. 11, 2350190 (2023)

Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc)

[1708] arXiv:2212.08605 [pdf, other]

Title: Polyadic rings of $p$-adic integers

Steven Duplij (University of Münster)

Comments: 9 pages, amslatex, the journal version: small corrections and changes, Example 2.1 and Conclusions added, Bibliography updated; this https URL

Journal-ref: Symmetry 2022, 14(12), 2591

Subjects: Rings and Algebras (math.RA); High Energy Physics - Theory (hep-th); Number Theory (math.NT)

[1709] arXiv:2212.08606 [pdf, other]

Title: Extensions of special 3-fields

Steven Duplij (WWU IT, Münster), Wend Werner (Math. Inst., Münster)

Comments: 22 pages, amslatex

Subjects: Rings and Algebras (math.RA)

[1710] arXiv:2212.08618 [pdf, other]

Title: Fine properties of symmetric and positive matrix fields with bounded divergence

Luigi De Rosa, Riccardo Tione

Comments: Minor changes after referee report. Version accepted in Advances in Mathematics

Subjects: Analysis of PDEs (math.AP)

[1711] arXiv:2212.08629 [pdf, other]

Title: Square integrable surface potentials on non-smooth domains and application to the Laplace equation in $L^2$

Alexandre Munnier

Subjects: Analysis of PDEs (math.AP)

[1712] arXiv:2212.08631 [pdf, other]

Title: Control and Placement of Finite-Resolution Intelligent Surfaces in IoT Systems with Imperfect CSI

Sajjad Nassirpour, Alireza Vahid, Dinh-Thuan Do, Dinesh Bharadia

Comments: This work has been submitted to the IEEE for possible publication

Subjects: Information Theory (cs.IT); Signal Processing (eess.SP)

[1713] arXiv:2212.08636 [pdf, html, other]

Title: Finite Hypergraph Families with Rich Extremal Tur\'an Constructions via Mixing Patterns

Xizhi Liu, Oleg Pikhurko

Comments: revised according to referee's suggestions

Subjects: Combinatorics (math.CO)

[1714] arXiv:2212.08642 [pdf, other]

Title: Estimating Higher-Order Mixed Memberships via the $\ell_{2,\infty}$ Tensor Perturbation Bound

Joshua Agterberg, Anru Zhang

Subjects: Statistics Theory (math.ST); Optimization and Control (math.OC); Methodology (stat.ME); Machine Learning (stat.ML)

[1715] arXiv:2212.08644 [pdf, html, other]

Title: Henselian schemes in positive characteristic

Sheela Devadas

Comments: v3: 55 pages (including appendix). edited: proof of Corollary 6.11, some bibliography entries

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

[1716] arXiv:2212.08692 [pdf, other]

Title: Willmore Flow of Complete Surfaces

Long-Sin Li

Comments: 47 pages

Subjects: Differential Geometry (math.DG)

[1717] arXiv:2212.08707 [pdf, other]

Title: Lipschitz Functions on Unions and Quotients of Metric Spaces

David M. Freeman, Chris Gartland

Comments: 36 pages. Updated according to comments from referee. New corrected proof of Theorem D given

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

[1718] arXiv:2212.08713 [pdf, other]

Title: Improved decoding of symmetric rank metric errors

Alain Couvreur

Subjects: Information Theory (cs.IT)

[1719] arXiv:2212.08714 [pdf, other]

Title: P. Jones'Interpolation theorem for noncommutative martingale Hardy spaces

Narcisse Randrianantoanina

Comments: 34 pages

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

[1720] arXiv:2212.08719 [pdf, other]

Title: On pseudo-codecomposition of a transformation group

Safoura Arzanesh, Fatemah Ayatollah Zadeh Shirazi, Reza Rezavand

Comments: 9 pages

Subjects: Geometric Topology (math.GT)

[1721] arXiv:2212.08721 [pdf, other]

Title: Transit Functions and Pyramid-Like Binary Clustering Systems

Manoj Changat, Ameera Vaheeda Shanavas, Peter F. Stadler

Subjects: Combinatorics (math.CO)

[1722] arXiv:2212.08725 [pdf, other]

Title: A duality-based approach to gradient flows of linear growth functionals

Wojciech Górny, José M. Mazón

Comments: 30 pages. arXiv admin note: text overlap with arXiv:2105.11424

Subjects: Analysis of PDEs (math.AP)

[1723] arXiv:2212.08727 [pdf, other]

Title: Continuity of the non-convex play operator in the space of rectifiable curves

Jana Kopfova, Vincenzo Recupero

Subjects: Dynamical Systems (math.DS)

[1724] arXiv:2212.08732 [pdf, other]

Title: k1-injectivity of the Paschke dual algebra for certain simple C*-algebras

Jireh Loreaux, P. W. Ng, Arindam Sutradhar

Comments: arXiv admin note: substantial text overlap with arXiv:2106.13370

Subjects: Operator Algebras (math.OA)

[1725] arXiv:2212.08735 [pdf, other]

Title: Higher Regularity Theory for a Mixed-Type Parabolic Equation

Sameer Iyer, Nader Masmoudi

Comments: 36 pages. Companion paper to arXiv:2203.02845

Subjects: Analysis of PDEs (math.AP)

[1726] arXiv:2212.08736 [pdf, other]

Title: A Neural Network Warm-Start Approach for the Inverse Acoustic Obstacle Scattering Problem

Mo Zhou, Jiequn Han, Manas Rachh, Carlos Borges

Journal-ref: Journal of Computational Physics, 488, 112243 (2023)

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

[1727] arXiv:2212.08739 [pdf, html, other]

Title: Product structure extension of the Alon--Seymour--Thomas theorem

Marc Distel, Vida Dujmović, David Eppstein, Robert Hickingbotham, Gwenaël Joret, Piotr Micek, Pat Morin, Michał T. Seweryn, David R. Wood

Comments: Title changed, author added, and results for $K_{3,t}$-minor-free graphs added in v2. Referee comments incorporated into v4

Journal-ref: SIAM Journal on Discrete Mathematics, 38(3):2095--2107, 2024

Subjects: Combinatorics (math.CO)

[1728] arXiv:2212.08752 [pdf, other]

Title: A Lower Bound for the Area of the Fundamental Region of a Binary Form

Jason Fang, Anton Mosunov

Subjects: Number Theory (math.NT)

[1729] arXiv:2212.08753 [pdf, other]

Title: Quasistatic fracture evolution

Debdeep Bhattacharya, Robert Lipton, Patrick Diehl

Comments: Version 2: typos fixed

Subjects: Numerical Analysis (math.NA); Materials Science (cond-mat.mtrl-sci); Analysis of PDEs (math.AP)

[1730] arXiv:2212.08760 [pdf, other]

Title: Strong asymptotic behavior of multi-orthogonal polynomials associated with a queueing model

Ulises Fidalgo

Subjects: Complex Variables (math.CV); Classical Analysis and ODEs (math.CA); Operator Algebras (math.OA)

[1731] arXiv:2212.08786 [pdf, other]

Title: RCD(0,N)-spaces with small linear diameter growth

Xin Qian

Comments: 17 pages

Subjects: Metric Geometry (math.MG); Differential Geometry (math.DG)

[1732] arXiv:2212.08791 [pdf, other]

Title: Two-Scale Gradient Descent Ascent Dynamics Finds Mixed Nash Equilibria of Continuous Games: A Mean-Field Perspective

Yulong Lu

Comments: A few typos and mistakes were fixed

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG); Analysis of PDEs (math.AP); Probability (math.PR); Machine Learning (stat.ML)

[1733] arXiv:2212.08795 [pdf, other]

Title: Counting closed walks in infinite regular trees using Catalan and Borel's triangles

Lord C. Kavi, Michael W. Newman

Subjects: Combinatorics (math.CO)

[1734] arXiv:2212.08797 [pdf, other]

Title: Semi-randomized block Kaczmarz methods with simple random sampling for large-scale linear systems

Gang Wu, Qiao Chang

Subjects: Numerical Analysis (math.NA)

[1735] arXiv:2212.08803 [pdf, other]

Title: Anti-flips of the blow-ups of the projective spaces at torus invariant points

Hiroshi Sato, Shigehito Tsuzuki

Comments: 8 pages, v2: revisions following referee's comments, to appear in Bull. Korean Math. Soc

Subjects: Algebraic Geometry (math.AG)

[1736] arXiv:2212.08807 [pdf, html, other]

Title: On lattice extensions

Maxwell Forst, Lenny Fukshansky

Comments: 18 pages, 4 figures; to appear in Monatshefte für Mathematik

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

[1737] arXiv:2212.08814 [pdf, other]

Title: Some divisibility properties of Jacobsthal numbers

Volkan Yildiz

Comments: 5 pages

Subjects: Combinatorics (math.CO)

[1738] arXiv:2212.08828 [pdf, other]

Title: Global well-posedness for radial extremal hypersurface equation in $\left(1+3 \right)$-dimensional Minkowski space-time in critical Sobolev space

Sheng Wang, Yi Zhou

Comments: 34 pages, this version reduces some printing mistakes

Subjects: Analysis of PDEs (math.AP)

[1739] arXiv:2212.08832 [pdf, other]

Title: Performance Analysis and Optimization of Network-Assisted Full-Duplex Systems under Low-Resolution ADCs

Xiangning Song, Zhenhao Ji, Jiamin Li, Pengcheng Zhu, Dongming Wang, Xiaohu You

Subjects: Information Theory (cs.IT); Signal Processing (eess.SP)

[1740] arXiv:2212.08835 [pdf, other]

Title: The finite Hilbert transform acting in the Zygmund space LlogL

Guillermo P. Curbera, Susumu Okada, Werner J. Ricker

Comments: This is the final version, to be published in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze

Subjects: Functional Analysis (math.FA)

[1741] arXiv:2212.08837 [pdf, other]

Title: IQC Based Analysis and Estimator Design for Discrete-Time Systems Affected by Impulsive Uncertainties

Tobias Holicki, Carsten W. Scherer

Subjects: Optimization and Control (math.OC)

[1742] arXiv:2212.08839 [pdf, html, other]

Title: Convergence of the tamed-Euler-Maruyama method for SDEs with discontinuous and polynomially growing drift

Kathrin Spendier, Michaela Szölgyenyi

Subjects: Numerical Analysis (math.NA); Probability (math.PR)

[1743] arXiv:2212.08842 [pdf, other]

Title: Modeling, scientific computing and optimal control for renewable energy systems with storage

Nicola Cantisani, Tobias K. S. Ritschel, Christian A. Thilker, Henrik Madsen, John Bagterp Jørgensen

Comments: Submitted to European Control Conference 2023

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

[1744] arXiv:2212.08843 [pdf, other]

Title: The Prabhakar fractional $q$-integral and $q$-differential operators, and their properties

Serikbol Shaimardan, Erkinjon Karimov, Michael Ruzhansky, Azizbek Mamanazarov

Subjects: Analysis of PDEs (math.AP)

[1745] arXiv:2212.08844 [pdf, other]

Title: Asymptotic-preserving schemes for kinetic-fluid modeling of mixture flows with distinct particle sizes

Shi Jin, Yiwen Lin

Subjects: Numerical Analysis (math.NA)

[1746] arXiv:2212.08847 [pdf, other]

Title: Graphical solutions to one-phase free boundary problems

Max Engelstein, Xavier Fernández-Real, Hui Yu

Subjects: Analysis of PDEs (math.AP)

[1747] arXiv:2212.08849 [pdf, other]

Title: A note on exponential stability of a thermoelastic system with internal delay

Smain Moulay Khatir, Farhat Shel

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[1748] arXiv:2212.08851 [pdf, other]

Title: Green's Functions and Existence of Solutions of Nonlinear Fractional Implicit Difference Equations with Dirichlet Boundary Conditions

Alberto Cabada, Nikolay D. Dimitrov, Jagan Mohan Jonnalagadda

Subjects: Classical Analysis and ODEs (math.CA)

[1749] arXiv:2212.08866 [pdf, other]

Title: Geometric decomposition of flows generated by rough path differential equations

Pedro Catuogno, Lourival Lima, Paulo Ruffino

Subjects: Probability (math.PR)

[1750] arXiv:2212.08867 [pdf, html, other]

Title: Specification tests for normal/gamma and stable/gamma stochastic frontier models based on empirical transforms

Christos K. Papadimitriou, Simos G. Meintanis, Bernardo B. Andrade, Mike G. Tsionas

Subjects: Statistics Theory (math.ST)