Mathematics

Authors and titles for October 2022

[501] arXiv:2210.02384 [pdf, other]

Title: Bounding the Pythagoras number of a field by $2^n+1$

Karim Johannes Becher, Marco Zaninelli

Comments: 21 pages

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

[502] arXiv:2210.02387 [pdf, other]

Title: Lorentz-Finsler metrics on symplectic and contact transformation groups

Alberto Abbondandolo, Gabriele Benedetti, Leonid Polterovich

Comments: 103 pages, 2 figures

Subjects: Symplectic Geometry (math.SG); Mathematical Physics (math-ph)

[503] arXiv:2210.02409 [pdf, other]

Title: Sperner systems with restricted differences

Zixiang Xu, Chi Hoi Yip

Comments: 22 pages, results in table 1 and section 6.1 improved

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

[504] arXiv:2210.02417 [pdf, other]

Title: Probabilistic Representation of Viscosity Solutions to Quasi-Variational Inequalities with Non-Local Drivers

Magnus Perninge

Comments: arXiv admin note: text overlap with arXiv:2112.09350

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

[505] arXiv:2210.02418 [pdf, other]

Title: Gradient Descent in the Absence of Global Lipschitz Continuity of the Gradients

Vivak Patel, Albert S. Berahas

Comments: 32 pages, 1 figure, 1 Table

Subjects: Optimization and Control (math.OC)

[506] arXiv:2210.02425 [pdf, other]

Title: Anisotropic Chan-Vese segmentation

Salvador Moll, Vicent Pallardó-Julià

Comments: Revised version. 29 pages, 3 figures

Subjects: Analysis of PDEs (math.AP)

[507] arXiv:2210.02432 [pdf, html, other]

Title: Coercive second-kind boundary integral equations for the Laplace Dirichlet problem on Lipschitz domains

Simon N. Chandler-Wilde, Euan A. Spence

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

[508] arXiv:2210.02477 [pdf, other]

Title: Stable solutions to fractional semilinear equations: uniqueness, classification, and approximation results

Tomás Sanz-Perela

Subjects: Analysis of PDEs (math.AP)

[509] arXiv:2210.02481 [pdf, other]

Title: Conjugacy classes in PSL(2, K)

Christopher-Lloyd Simon

Comments: Version 2 : 22 pages, 12 figures, 4 tables

Subjects: Group Theory (math.GR); Geometric Topology (math.GT); Number Theory (math.NT)

[510] arXiv:2210.02495 [pdf, other]

Title: A strengthened Orlicz-Pettis theorem via It\^o-Nisio

Ethan Sussman

Comments: 16 pages. Published version

Journal-ref: Ann. Funct. Anal. 14.22 (2023)

Subjects: Functional Analysis (math.FA); Probability (math.PR)

[511] arXiv:2210.02497 [pdf, other]

Title: $2$-polarity and algorithmic aspects of polarity variants on cograph superclasses

Fernando Esteban Contreras-Mendoza, César Hernández-Cruz

Comments: 39 pages, 14 figures

Journal-ref: Discrete Mathematics & Theoretical Computer Science, vol. 26:3, Graph Theory (October 10, 2024) dmtcs:11479

Subjects: Combinatorics (math.CO)

[512] arXiv:2210.02508 [pdf, other]

Title: $M|G|\infty$ Queue Parameters Values Approximation Through a Markov Renewal Process

Manuel Alberto M. Ferreira

Comments: 13 pages and no figures

Subjects: Probability (math.PR)

[513] arXiv:2210.02510 [pdf, other]

Title: On the crack inverse problem for pressure waves in half-space

Darko Volkov

Comments: 18 pages, 2 figures

Subjects: Analysis of PDEs (math.AP)

[514] arXiv:2210.02514 [pdf, html, other]

Title: A Road To Compactness Through Guessing Models

Rahman Mohammadpour

Comments: it is Identical to the previous version, but not intended for publication

Subjects: Logic (math.LO)

[515] arXiv:2210.02519 [pdf, other]

Title: On the local Langlands conjectures for disconnected groups

Tasho Kaletha

Comments: Preliminary version. Comments welcome!

Subjects: Representation Theory (math.RT); Number Theory (math.NT)

[516] arXiv:2210.02531 [pdf, html, other]

Title: Nonconvex quasi-variational inequalities: stability analysis and application to numerical optimization

Joydeep Dutta, Lahoussine Lafhim, Alain Zemkoho, Shenglong Zhou

Comments: 7 figures, 4 tables

Subjects: Optimization and Control (math.OC)

[517] arXiv:2210.02536 [pdf, other]

Title: An hybrid deterministic-stochastic iterative procedure to solve the heat equation

Fouad Maouche

Comments: 12 pages

Subjects: Probability (math.PR)

[518] arXiv:2210.02540 [pdf, other]

Title: Generalized Hermite process: tempering, properties and applications

Héctor Araya

Subjects: Probability (math.PR)

[519] arXiv:2210.02541 [pdf, other]

Title: Inserting or Stretching Points in Finite Difference Discretizations

Jherek Healy

Subjects: Numerical Analysis (math.NA); Computational Finance (q-fin.CP); Pricing of Securities (q-fin.PR)

[520] arXiv:2210.02551 [pdf, other]

Title: Solution of the [72, 36,16] Problem

Gerald Janusz

Comments: Some results are incorrect

Subjects: Combinatorics (math.CO)

[521] arXiv:2210.02557 [pdf, other]

Title: Minimizing File Transfer Time in Opportunistic Spectrum Access Model

Jie Hu, Vishwaraj Doshi, Do Young Eun

Comments: To appear in IEEE Transactions on Mobile Computing. arXiv admin note: substantial text overlap with arXiv:2109.11624

Subjects: Optimization and Control (math.OC); Networking and Internet Architecture (cs.NI)

[522] arXiv:2210.02560 [pdf, other]

Title: Bifurcation analysis of Bogdanov-Takens bifurcations in delay differential equations

M.M. Bosschaert, Yu.A. Kuznetsov

Comments: 128 pages, 39 images

Subjects: Dynamical Systems (math.DS); Numerical Analysis (math.NA)

[523] arXiv:2210.02562 [pdf, other]

Title: Dueling Convex Optimization with General Preferences

Aadirupa Saha, Tomer Koren, Yishay Mansour

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

[524] arXiv:2210.02563 [pdf, other]

Title: Integrable cross-field generation based on imposed singularity configuration -- the 2D manifold case --

Jovana Jezdimirović, Alexandre Chemin, Jean-François Remacle

Subjects: Numerical Analysis (math.NA); Exactly Solvable and Integrable Systems (nlin.SI)

[525] arXiv:2210.02564 [pdf, other]

Title: Optima and Simplicity in Nature

Kamaludin Dingle

Subjects: Optimization and Control (math.OC); Information Theory (cs.IT)

[526] arXiv:2210.02565 [pdf, other]

Title: Windowed Green Function MoM for Second-Kind Surface Integral Equation Formulations of Layered Media Electromagnetic Scattering Problems

Rodrigo Arrieta, Carlos Pérez-Arancibia

Subjects: Numerical Analysis (math.NA); Signal Processing (eess.SP); Computational Physics (physics.comp-ph)

[527] arXiv:2210.02566 [pdf, other]

Title: On Sums, Derivatives, and Flips of Riordan Arrays

Caroline Bang, Matias von Bell, Eric Culver, Jessica Dickson, Stoyan Dimitrov, Rachel Perrier, Sheila Sundaram

Comments: 35 pages

Journal-ref: J. Integer Seq. 26 (2023), no. 2, Art. 23.2.7, 40 pp

Subjects: Combinatorics (math.CO); Rings and Algebras (math.RA)

[528] arXiv:2210.02567 [pdf, other]

Title: Some hyperideals defined on the basis of the intersection of all n-ary prime hyperideals

Mahdi Anbarloei

Subjects: Commutative Algebra (math.AC)

[529] arXiv:2210.02568 [pdf, other]

Title: Anisotropic Gohberg Lemmas for Pseudodifferential Operators on Abelian Compact Groups

M. Mantoiu

Comments: 11 pages

Subjects: Functional Analysis (math.FA); Analysis of PDEs (math.AP)

[530] arXiv:2210.02569 [pdf, html, other]

Title: Semi-coarse Spaces, Homotopy and Homology

Antonio Rieser, Jonathan Treviño-Marroquín

Comments: 56 pages. We moved some subsections to an appendix in order to focus in semi-coarse homotopy and homology and to make reading easier. We also added a discussion section in which we summarize the main results of the paper

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

[531] arXiv:2210.02581 [pdf, other]

Title: Fractional Sobolev regularity for solutions to a strongly degenerate parabolic equation

Pasquale Ambrosio

Comments: arXiv admin note: text overlap with arXiv:2204.05966

Journal-ref: Forum Mathematicum. 2023

Subjects: Analysis of PDEs (math.AP)

[532] arXiv:2210.02596 [pdf, other]

Title: Role of Deep Learning in Wireless Communications

Wei Yu, Foad Sohrabi, Tao Jiang

Comments: 13 pages, 12 figures, To appear in IEEE BITS the Information Theory Magazine

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

[533] arXiv:2210.02602 [pdf, other]

Title: Convergence rates of the Kaczmarz-Tanabe method for linear systems

Chuan-gang Kang

Subjects: Numerical Analysis (math.NA)

[534] arXiv:2210.02605 [pdf, other]

Title: A question on the Cauchy problem in the Gevrey classes for weakly hyperbolic equations

Tatsuo Nishitani

Comments: 5 pages

Subjects: Analysis of PDEs (math.AP)

[535] arXiv:2210.02606 [pdf, other]

Title: Nonlocal error bounds for piecewise affine functions

M.V. Dolgopolik

Journal-ref: Set-Valued and Variational Analysis, vol. 31, article number 32, (2023)

Subjects: Optimization and Control (math.OC)

[536] arXiv:2210.02609 [pdf, other]

Title: Scattering theory and an index theorem on the radial part of SL(2,R)

H. Inoue, S. Richard

Comments: 27 pages

Subjects: Mathematical Physics (math-ph); Spectral Theory (math.SP)

[537] arXiv:2210.02613 [pdf, other]

Title: Weighted Sobolev estimates of the truncated Beurling operator

Yifei Pan, Yuan Zhang

Comments: 7 pages

Subjects: Complex Variables (math.CV)

[538] arXiv:2210.02619 [pdf, other]

Title: Optimal Sobolev regularity of $\bar\partial$ on the Hartogs triangle

Yifei Pan, Yuan Zhang

Comments: 23 pages

Subjects: Complex Variables (math.CV); Analysis of PDEs (math.AP)

[539] arXiv:2210.02626 [pdf, html, other]

Title: Decision Making under Cumulative Prospect Theory: An Alternating Direction Method of Multipliers

Xiangyu Cui, Rujun Jiang, Yun Shi, Rufeng Xiao, Yifan Yan

Comments: 32 pages

Subjects: Optimization and Control (math.OC)

[540] arXiv:2210.02646 [pdf, other]

Title: Magnetic Schr\"odinger operators and landscape functions

Jeremy G. Hoskins, Hadrian Quan, Stefan Steinerberger

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

[541] arXiv:2210.02647 [pdf, other]

Title: Ensemble Kalman Filtering for Glacier Modeling

Emily Corcoran, Logan Knudsen, Talea Mayo, Hannah Park-Kaufmann, Alexander Robel

Subjects: Dynamical Systems (math.DS); Numerical Analysis (math.NA); Probability (math.PR); Atmospheric and Oceanic Physics (physics.ao-ph)

[542] arXiv:2210.02652 [pdf, other]

Title: Limiting weak type behaviors of maximal operator on the positive real axis

Wu-yi Pan, Sheng-jian Li

Subjects: Metric Geometry (math.MG)

[543] arXiv:2210.02653 [pdf, other]

Title: Stabilization-free serendipity virtual element method for plane elasticity

Alvin Chen, N. Sukumar

Comments: 24 pages, 17 figures. arXiv admin note: text overlap with arXiv:2202.10037

Subjects: Numerical Analysis (math.NA)

[544] arXiv:2210.02664 [pdf, other]

Title: Quaternions, Monge-Amp\`ere structures and $k$-surfaces

Graham Smith

Comments: Requested chapter for forthcoming book. Some new results and simpler proofs of existing results

Subjects: Differential Geometry (math.DG)

[545] arXiv:2210.02668 [pdf, other]

Title: Congruences on the class numbers of $\mathbb{Q}(\sqrt{\pm 2p})$ for $p\equiv3$ $(\text{mod }4)$ a prime

Jigu Kim, Yoshinori Mizuno

Comments: 16 pages

Subjects: Number Theory (math.NT)

[546] arXiv:2210.02670 [pdf, other]

Title: Unconditional stability and error analysis of an Euler IMEX-SAV scheme for the micropolar Navier-Stokes equations

Xiaodi Zhang, Xiaonian Long

Comments: 27 pages, 39 figures. arXiv admin note: text overlap with arXiv:2104.00229 by other authors

Subjects: Numerical Analysis (math.NA)

[547] arXiv:2210.02673 [pdf, other]

Title: On the Interplay Between Deadline-Constrained Traffic and the Number of Allowed Retransmissions in Random Access Networks

Nikolaos Nomikos, Themistoklis Charalambous, Yvonne-Anne Pignolet, Nikolaos Pappas

Subjects: Information Theory (cs.IT)

[548] arXiv:2210.02677 [pdf, other]

Title: Ill-posedness of the Novikov equation in the critical Besov space $B^{1}_{\infty,1}(\mathbb{R})$

Jinlu Li, Yanghai Yu, Weipeng Zhu

Comments: arXiv admin note: text overlap with arXiv:2201.02839

Subjects: Analysis of PDEs (math.AP)

[549] arXiv:2210.02679 [pdf, other]

Title: Covers and Pseudocovers of Symmetric Graphs

Cai Heng Li, Yan Zhou Zhu

Comments: 14 pages, 2 figures

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

[550] arXiv:2210.02686 [pdf, other]

Title: Fixed-point equations solving Risk-sensitive MDP with constraint

Vartika Singh, Veeraruna Kavitha

Comments: 8 pages, 4 figures, submitted to the 2023 American Control Conference (ACC)

Subjects: Optimization and Control (math.OC)