Mathematics

Authors and titles for October 2022

[1401] arXiv:2210.07200 [pdf, other]

Title: Reduction along strong Dirac maps

Ana Balibanu, Maxence Mayrand

Comments: Title changed to refer to 'Dirac realizations' as 'strong Dirac maps.' Substantial improvements to results on multiplicative Whittaker reduction

Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG); Representation Theory (math.RT)

[1402] arXiv:2210.07204 [pdf, other]

Title: Non-uniform Berry-Esseen theorem and Edgeworth expansions with applications to transport distances for weakly dependent random variables

Yeor Hafouta

Comments: A few references to recent relevant preprints were added

Subjects: Probability (math.PR); Dynamical Systems (math.DS)

[1403] arXiv:2210.07208 [pdf, other]

Title: A Local Macroscopic Conservative (LoMaC) low rank tensor method with the discontinuous Galerkin method for the Vlasov dynamics

Wei Guo, Jannatul Ferdous Ema, Jing-Mei Qiu

Comments: arXiv admin note: text overlap with arXiv:2207.00518

Subjects: Numerical Analysis (math.NA)

[1404] arXiv:2210.07214 [pdf, other]

Title: Polynomial Convexity and Polynomial approximations of certain sets in $\mathbb{C}^{2n}$ with non-isolated CR-singularities

Golam Mostafa Mondal

Subjects: Complex Variables (math.CV)

[1405] arXiv:2210.07220 [pdf, other]

Title: Mathematical modernity, goal or problem? The opposing views of Felix Hausdorff and Hermann Weyl

Erhard Scholz

Comments: 34 pp

Subjects: History and Overview (math.HO)

[1406] arXiv:2210.07223 [pdf, other]

Title: A note on the column-row property

Samya Kumar Ray, Srijan Sarkar

Comments: 11 pages, Title changed, this version has been made shorter, to appear in Canadian Mathematical Bulletin

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

[1407] arXiv:2210.07226 [pdf, other]

Title: Wedderburn Decomposition and Idempotents of some finite metacyclic group algebras

F.E. Brochero Martínez, L. Batista de Oliveira, C. R. Giraldo Vergara

Subjects: Number Theory (math.NT)

[1408] arXiv:2210.07238 [pdf, other]

Title: Series with summands involving harmonic numbers

Zhi-Wei Sun

Comments: 39 pages, submitted version. Add the current Conjectures 2.4-2.8

Subjects: Number Theory (math.NT)

[1409] arXiv:2210.07244 [pdf, other]

Title: Asymptotic Properties of Stieltjes Constants

Krzysztof Maślanka

Comments: 21 pages 11 figures

Journal-ref: Computational Methods in Science and Technology 28 (2022) 123-131

Subjects: Number Theory (math.NT)

[1410] arXiv:2210.07261 [pdf, other]

Title: Almost all wreath product character values are divisible by given primes

Brandon Dong, Hannah Graff, Joshua Mundinger, Skye Rothstein, Lola Vescovo

Comments: v2: minor edits. 15 pages, 4 figures. Comments welcome

Journal-ref: Algebraic Combinatorics, Volume 6 (2023) no. 6, pp. 1519-1531

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

[1411] arXiv:2210.07275 [pdf, other]

Title: On fundamental groups of RCD spaces

Jaime Santos-Rodriguez, Sergio Zamora

Journal-ref: Crelle-2023-0027

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

[1412] arXiv:2210.07280 [pdf, html, other]

Title: Object generators, categories, and everyday set theory

Frank Quinn

Comments: 8 pages. companion to `Object generators, relaxed sets, and a foundation for mathematics' arXiv:2110.01489

Subjects: Logic (math.LO); Category Theory (math.CT)

[1413] arXiv:2210.07281 [pdf, html, other]

Title: Non-admissible irreducible representations of $p$-adic $\mathrm{GL}_{n}$ in characteristic $p$

Eknath Ghate, Daniel Le, Mihir Sheth

Comments: 15 pages, this version contains the erratum to the published version: the statement of Prop 3.1, its proof, and the proof of Thm 1.2 is corrected

Journal-ref: Represent. Theory 27 (2023), 1088-1101

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

[1414] arXiv:2210.07283 [pdf, other]

Title: On irreducible supersingular representations of $\mathrm{GL}_{2}(F)$

Mihir Sheth

Comments: 11 pages

Journal-ref: Pacific J. Math. 321 (2022) 431-442

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

[1415] arXiv:2210.07303 [pdf, other]

Title: Elliptic finite-band potentials of a non-self-adjoint Dirac operator

Gino Biondini, Xu-Dan Luo, Jeffrey Oregero, Alexander Tovbis

Comments: 47 pages, 5 figures

Journal-ref: Advances in Mathematics 429, 109188 (2023)

Subjects: Spectral Theory (math.SP); Analysis of PDEs (math.AP); Exactly Solvable and Integrable Systems (nlin.SI)

[1416] arXiv:2210.07306 [pdf, other]

Title: Feynman checkers: number-theoretic properties

Fedor Kuyanov, Alexey Slizkov

Journal-ref: Reviews in Mathematical Physics, 2023

Subjects: Mathematical Physics (math-ph); Combinatorics (math.CO); Number Theory (math.NT)

[1417] arXiv:2210.07307 [pdf, other]

Title: Another view of sequential sampling in the birth process with immigration

Poly H. da Silva, Arash Jamshidpey, Simon Tavaré

Comments: 15 pages

Subjects: Probability (math.PR); Populations and Evolution (q-bio.PE)

[1418] arXiv:2210.07325 [pdf, other]

Title: On the Birman-Krein Theorem

Vanderléa R. Bazao, César R. de Oliveira, Pablo A. Diaz

Subjects: Mathematical Physics (math-ph); Functional Analysis (math.FA)

[1419] arXiv:2210.07326 [pdf, other]

Title: Characterizing matrices with eigenvalues in an LMI region: A dissipative-Hamiltonian approach

Neelam Choudhary, Nicolas Gillis, Punit Sharma

Comments: 15 pages, 2 figures

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

[1420] arXiv:2210.07328 [pdf, other]

Title: Mirror Symmetry, Laurent Inversion and the Classification of $\mathbb{Q}$-Fano Threefolds

Tom Coates, Liana Heuberger, Alexander M. Kasprzyk

Comments: 32 pages, 17 figures. Comments welcome

Subjects: Algebraic Geometry (math.AG)

[1421] arXiv:2210.07339 [pdf, other]

Title: Nash Equilibria for Exchangeable Team against Team Games, their Mean Field Limit, and Role of Common Randomness

Sina Sanjari, Naci Saldi, Serdar Yüksel

Subjects: Optimization and Control (math.OC); Computer Science and Game Theory (cs.GT)

[1422] arXiv:2210.07341 [pdf, other]

Title: Harmonic Maass forms associated with CM newforms

Stephan Ehlen, Yingkun Li, Markus Schwagenscheidt

Comments: 30 pages, comments welcome!

Subjects: Number Theory (math.NT)

[1423] arXiv:2210.07344 [pdf, other]

Title: Threshold solutions for the Hartree equation

Anudeep K. Arora, Svetlana Roudenko

Comments: 53 pages

Subjects: Analysis of PDEs (math.AP)

[1424] arXiv:2210.07348 [pdf, other]

Title: Categorical properties of reduction functors over non-positive DG-rings

Liran Shaul

Comments: 13 pages, final version, to appear in Proceedings of the AMS

Journal-ref: Proc. Amer. Math. Soc. 152 (2024), 489-500

Subjects: Rings and Algebras (math.RA); Commutative Algebra (math.AC); Category Theory (math.CT)

[1425] arXiv:2210.07361 [pdf, other]

Title: On the ergodicity assumption in Performance-Based Engineering

Andre T. Beck, Rubia M. Bosse, Isabela D. Rodrigues

Journal-ref: Structural Safety 97 (2022) 102218

Subjects: Optimization and Control (math.OC); Computational Engineering, Finance, and Science (cs.CE)

[1426] arXiv:2210.07366 [pdf, other]

Title: A Generalization of Markov Numbers

Esther Banaian, Archan Sen

Comments: 33 pages, many figures, comments welcome

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

[1427] arXiv:2210.07368 [pdf, html, other]

Title: A note on purity of crystalline local systems

Yong Suk Moon

Comments: 9 pages. Some changes in exposition

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

[1428] arXiv:2210.07369 [pdf, other]

Title: Threshold solutions for cubic Schr\"odinger systems

Luccas Campos, Ademir Pastor

Subjects: Analysis of PDEs (math.AP)

[1429] arXiv:2210.07375 [pdf, other]

Title: Rational points in the Noether-Lefschetz locus of moduli spaces of K3 surfaces

Domenico Valloni

Comments: Improved exposition and results

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

[1430] arXiv:2210.07383 [pdf, other]

Title: Notes on CSPs and Polymorphisms

Zarathustra Brady

Comments: 407 pages

Subjects: Rings and Algebras (math.RA); Computational Complexity (cs.CC); Discrete Mathematics (cs.DM); Logic in Computer Science (cs.LO); Logic (math.LO)

[1431] arXiv:2210.07388 [pdf, other]

Title: A Herglotz-based integrator for nonholonomic mechanical systems

Elias Maciel, Inocencio Ortiz, Christian E. Schaerer

Comments: 30 pages, 20 figures

Subjects: Numerical Analysis (math.NA)

[1432] arXiv:2210.07389 [pdf, other]

Title: On the topological entropy of (a,b)-continued fraction transformations

Adam Abrams, Svetlana Katok, Ilie Ugarcovici

Comments: 14 pages, 10 figures

Subjects: Dynamical Systems (math.DS)

[1433] arXiv:2210.07398 [pdf, html, other]

Title: On the existence of closed trajectories and pseudo-trajectories for a family of third order differential equations

Mayara Duarte de Araujo Caldas, Ricardo Miranda Martins

Comments: 25 pages, 1 figure

Subjects: Dynamical Systems (math.DS)

[1434] arXiv:2210.07399 [pdf, html, other]

Title: GridPyM: a Python module to handle grid diagrams

Agnese Barbensi, Daniele Celoria

Comments: V2 accepted version. Associated GitHub repository: this http URL

Journal-ref: J. Softw. Alg. Geom. 14 (2024) 31-39

Subjects: Geometric Topology (math.GT)

[1435] arXiv:2210.07402 [pdf, other]

Title: The two-sided Galois duals of multi-twisted codes

Ramy F. Taki Eldin

Subjects: Information Theory (cs.IT); Commutative Algebra (math.AC)

[1436] arXiv:2210.07403 [pdf, other]

Title: The Immersed Boundary Double Layer (IBDL) Method

Brittany J. Leathers

Comments: arXiv admin note: substantial text overlap with arXiv:2203.12126

Subjects: Numerical Analysis (math.NA)

[1437] arXiv:2210.07405 [pdf, other]

Title: On the intrinsic and extrinsic boundary for metric measure spaces with lower curvature bounds

Vitali Kapovitch, Xingyu Zhu

Comments: 19 pages

Subjects: Metric Geometry (math.MG)

[1438] arXiv:2210.07419 [pdf, other]

Title: Continued fraction representations of the generalized operator entropy

Sarra Ahallal, Said Mennou, Ali Kacha

Subjects: Numerical Analysis (math.NA); Number Theory (math.NT)

[1439] arXiv:2210.07434 [pdf, other]

Title: Asymptotic free independence and entry permutations for Gaussian random matrices. Part II: Infinitesimal freeness

M. Popa, K. Szpojankowski, P.-L. Tseng

Comments: 29 pages, 8 figures

Subjects: Probability (math.PR); Combinatorics (math.CO); Operator Algebras (math.OA)

[1440] arXiv:2210.07437 [pdf, other]

Title: Upper bounds on the Rate of Uniformly-Random Codes for the Deletion Channel

Berivan Isik, Francisco Pernice, Tsachy Weissman

Subjects: Information Theory (cs.IT)

[1441] arXiv:2210.07438 [pdf, other]

Title: Relations Between Discrete Maximal Operators in Harmonic Analysis

Sri Sakti Swarup Anupindi, Michael Alphonse

Subjects: Functional Analysis (math.FA)

[1442] arXiv:2210.07444 [pdf, other]

Title: Uniqueness of conformal metrics with constant Q-curvature on closed Einstein manifolds

Jérôme Vétois

Journal-ref: Potential Analysis (2023)

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP)

[1443] arXiv:2210.07464 [pdf, other]

Title: Visible lattice points in higher dimensional random walks and biases among them

Kui Liu, Meijie Lu, Xianchang Meng

Comments: 26 pages

Subjects: Number Theory (math.NT); Probability (math.PR)

[1444] arXiv:2210.07473 [pdf, other]

Title: Probabilistic Framework of Howard's Policy Iteration: BML Evaluation and Robust Convergence Analysis

Yutian Wang, Yuan-Hua Ni, Zengqiang Chen, Ji-Feng Zhang

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

Subjects: Optimization and Control (math.OC)

[1445] arXiv:2210.07476 [pdf, other]

Title: An interpretation of TRiSK-type schemes from a discrete exterior calculus perspective

Christopher Eldred, Werner Bauer

Comments: 40 pages, 3 figures

Subjects: Numerical Analysis (math.NA)

[1446] arXiv:2210.07479 [pdf, other]

Title: Identification of a boundary obstacle in a Stokes fluid with Dirichlet--Navier boundary conditions: external measurements

Louis Breton, Cristhian Montoya, Pedro González-Casanova, Jesús López Estrada

Subjects: Optimization and Control (math.OC)

[1447] arXiv:2210.07496 [pdf, other]

Title: On the size of maximal binary codes with 2, 3, and 4 distances

Alexander Barg, Alexey Glazyrin, Wei-Jiun Kao, Ching-Yi Lai, Pin-Chieh Tseng, Wei-Hsuan Yu

Comments: Main text 23 pp. and Appendix 17pp

Subjects: Combinatorics (math.CO); Information Theory (cs.IT)

[1448] arXiv:2210.07510 [pdf, html, other]

Title: One stabilization is not enough for contractible 4-manifolds

Sungkyung Kang

Comments: 22 pages, comments welcome! Major modification on arguments using bordered Floer homology

Subjects: Geometric Topology (math.GT)

[1449] arXiv:2210.07511 [pdf, other]

Title: Twisted Real quasi-elliptic cohomology

Zhen Huan, Matthew B. Young

Comments: 46 pages

Subjects: Algebraic Topology (math.AT); Representation Theory (math.RT)

[1450] arXiv:2210.07513 [pdf, other]

Title: Continuous-in-time Limit for Bayesian Bandits

Yuhua Zhu, Zachary Izzo, Lexing Ying

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG); Numerical Analysis (math.NA); Machine Learning (stat.ML)