Mathematics

Authors and titles for December 2022

[2201] arXiv:2212.11176 [pdf, other]

Title: On the density of sumsets, II

Paolo Leonetti, Salvatore Tringali

Journal-ref: Bull. Aust. Math. Soc. 109 (2024) 414-419

Subjects: Number Theory (math.NT)

[2202] arXiv:2212.11178 [pdf, other]

Title: Class number divisibility of $\mathbb{Q}(\sqrt{3p}, \sqrt{m-21pn^{2}})$ constructed from elliptic curves of $2$-Selmer rank exactly $1$

Debopam Chakraborty, Vinodkumar Ghale, MD Imdadul Islam

Comments: Comments are welcome

Subjects: Number Theory (math.NT)

[2203] arXiv:2212.11179 [pdf, other]

Title: The Inverse Problem for the Euler-Poisson-Darboux Equation and Shifted $k$-Plane Transforms

Boris Rubin

Comments: 15 pages

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

[2204] arXiv:2212.11180 [pdf, other]

Title: Survey on invariant quasimorphisms and stable mixed commutator length

Morimichi Kawasaki, Mitsuaki Kimura, Shuhei Maruyama, Takahiro Matsushita, Masato Mimura

Comments: 37 pages, 2 figure; major revision, to appear in Topology Proceedings

Subjects: Group Theory (math.GR); Geometric Topology (math.GT); Symplectic Geometry (math.SG)

[2205] arXiv:2212.11183 [pdf, other]

Title: Bi-Lipschitz invariance of the multiplicity

Alexandre Fernandes, José Edson Sampaio

Comments: 36 pages and 1 figure

Subjects: Algebraic Geometry (math.AG); Complex Variables (math.CV); Metric Geometry (math.MG)

[2206] arXiv:2212.11188 [pdf, other]

Title: Invertible and noninvertible symbolic dynamics and their C*-algebras

Kevin Aguyar Brix

Comments: Survey paper. 31 pages

Subjects: Operator Algebras (math.OA); Dynamical Systems (math.DS)

[2207] arXiv:2212.11189 [pdf, other]

Title: A note on the homogenization of incommensurate thin films

Irene Anello, Andrea Braides, Fabrizio Caragiulo

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

[2208] arXiv:2212.11193 [pdf, other]

Title: Maximal Generalized Rank in Graphical Matrix Spaces

Alexander Guterman, Roy Meshulam, Igor Spiridonov

Comments: 10 pages

Journal-ref: Israel Journal of Mathematics 256.1 (2023): 297-309

Subjects: Combinatorics (math.CO)

[2209] arXiv:2212.11195 [pdf, other]

Title: Analytical solutions in the modeling of the endovenous laser ablation

Luisa Consiglieri

Comments: 16 pages, 4 figures

Journal-ref: Revista de la Academia Colombiana de Ciencias Exactas, F\'isicas y Naturales 48 (2024) 254-270

Subjects: Analysis of PDEs (math.AP); Medical Physics (physics.med-ph)

[2210] arXiv:2212.11200 [pdf, other]

Title: A simplified counterexample to the integral representation of the relaxation of double integrals

Andrea Braides

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

[2211] arXiv:2212.11216 [pdf, html, other]

Title: Optimal cycles enclosing all the nodes of a $k$-dimensional hypercube

Roberto Rinaldi, Marco Ripà

Comments: 13 pages, 5 figures. Typos corrected; misprint in Section 3 fixed

Subjects: Combinatorics (math.CO)

[2212] arXiv:2212.11221 [pdf, other]

Title: A Nearly Tight Bound for Fitting an Ellipsoid to Gaussian Random Points

Daniel M. Kane, Ilias Diakonikolas

Subjects: Probability (math.PR); Data Structures and Algorithms (cs.DS); Machine Learning (cs.LG); Statistics Theory (math.ST); Machine Learning (stat.ML)

[2213] arXiv:2212.11227 [pdf, html, other]

Title: Higher order elliptic equations in weighted Banach spaces

Bilal T. Bilalov, Sabina R. Sadigova, Lubomira G. Softova

Comments: 18 pages

Subjects: Analysis of PDEs (math.AP)

[2214] arXiv:2212.11229 [pdf, html, other]

Title: Dual spaces vs. Haar measures of polynomial hypergroups

Stefan Kahler, Ryszard Szwarc

Comments: There are only little changes compared to the previous version. They particularly concern the references

Journal-ref: J. Approx. Theory 305 (2025), 106099, 15 pages

Subjects: Classical Analysis and ODEs (math.CA); Functional Analysis (math.FA)

[2215] arXiv:2212.11231 [pdf, other]

Title: Complete bipartite graphs flexible in the plane

M. D. Kovalev, S. Yu. Orevkov

Comments: 21 pages, 6 figures. Changes with respect to v1:: 1). The hyperbolic and spherical cases are included. 2). References [3] and [5] are added

Subjects: Algebraic Geometry (math.AG); Metric Geometry (math.MG)

[2216] arXiv:2212.11239 [pdf, other]

Title: A polynomial-size extended formulation for the multilinear polytope of beta-acyclic hypergraphs

Alberto Del Pia, Aida Khajavirad

Subjects: Combinatorics (math.CO); Optimization and Control (math.OC)

[2217] arXiv:2212.11241 [pdf, other]

Title: The heat equation with the dynamic boundary condition as a singular limit of problems degenerating at the boundary

Yoshikazu Giga, Michał Łasica, Piotr Rybka

Comments: 34 pages

Subjects: Analysis of PDEs (math.AP)

[2218] arXiv:2212.11249 [pdf, html, other]

Title: Slater conditions without interior points for programs in Lebesgue spaces with pointwise bounds and finitely many constraints

Gerd Wachsmuth

Subjects: Optimization and Control (math.OC)

[2219] arXiv:2212.11250 [pdf, other]

Title: Counting compatible indexing systems for $C_{p^n}$

Michael A. Hill, Jiayun Meng, Nan Li

Comments: 19 pages. Comments welcome!

Subjects: Algebraic Topology (math.AT); Combinatorics (math.CO)

[2220] arXiv:2212.11252 [pdf, other]

Title: Quadratic Duality for Chiral Algebras

Zhengping Gui, Si Li, Keyou Zeng

Comments: 23 pages. Comments are welcome

Subjects: Quantum Algebra (math.QA); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)

[2221] arXiv:2212.11253 [pdf, html, other]

Title: Inference for Non-Stationary Heavy Tailed Time Series

Fumiya Akashi, Konstantinos Fokianos, Junichi Hirukawa

Comments: 44 pages, 3 figures and 9 tables

Subjects: Statistics Theory (math.ST)

[2222] arXiv:2212.11257 [pdf, other]

Title: On the 3D Navier-Stokes Equations with a Linear Multiplicative Noise and Prescribed Energy

Stefanie Elisabeth Berkemeier

Subjects: Analysis of PDEs (math.AP); Probability (math.PR)

[2223] arXiv:2212.11259 [pdf, html, other]

Title: A Classification of Modular Functors via Factorization Homology

Adrien Brochier, Lukas Woike

Comments: v3: 43 pages, material re-arranged, genus one reduction of connectedness and relation to skein theory clarified

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

[2224] arXiv:2212.11262 [pdf, html, other]

Title: Improved Field Size Bounds for Higher Order MDS Codes

Joshua Brakensiek, Manik Dhar, Sivakanth Gopi

Comments: 19 pages, 2 tables

Subjects: Information Theory (cs.IT)

[2225] arXiv:2212.11267 [pdf, other]

Title: Ricci-flat manifolds of generalized ALG asymptotics

Yuanqi Wang

Comments: 47 pages. 5 figures, 3 tables. Revisions are carried out and presentation improved. Inaccuracy in Proposition 1.6 is fixed: k^2_{0} is the eigen-value, not k_{0}. Definition of weakly distinct is revised. Typos are corrected. Comments are welcome

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

[2226] arXiv:2212.11271 [pdf, other]

Title: Traces of Sobolev spaces to irregular subsets of metric measure spaces

Alexander Tyulenev

Comments: Many typos in the previous versions have been corrected. Some proofs have been clarified

Subjects: Functional Analysis (math.FA)

[2227] arXiv:2212.11276 [pdf, other]

Title: A few remarks on thermomechanics

Hervé Le Dret (LJLL), Annie Raoult (MAP5 - UMR 8145)

Subjects: Mathematical Physics (math-ph); General Mathematics (math.GM)

[2228] arXiv:2212.11297 [pdf, other]

Title: Pieri rules for skew dual immaculate functions

Elizabeth Niese, Sheila Sundaram, Stephanie van Willigenburg, Shiyun Wang

Comments: 15 pages

Subjects: Combinatorics (math.CO)

[2229] arXiv:2212.11316 [pdf, other]

Title: Learning-based Optimal Admission Control in a Single Server Queuing System

Asaf Cohen, Vijay G. Subramanian, Yili Zhang

Subjects: Optimization and Control (math.OC); Machine Learning (stat.ML)

[2230] arXiv:2212.11323 [pdf, other]

Title: Maurer-Cartan methods in deformation theory: the twisting procedure

Vladimir Dotsenko, Sergey Shadrin, Bruno Vallette

Comments: 183 pages, supersedes the very preliminary version arXiv:1810.02941, final author version before copyediting; will be published by Cambridge University Press & Assessment as 'Maurer-Cartan Methods in Deformation Theory: the twisting procedure' by Vladimir Dotsenko, Sergey Shadrin and Bruno Vallette

Journal-ref: London Math. Soc. Lecture Note Ser., 488 Cambridge University Press, Cambridge, 2024, viii+177 pp

Subjects: Quantum Algebra (math.QA); Algebraic Topology (math.AT); Category Theory (math.CT); K-Theory and Homology (math.KT); Rings and Algebras (math.RA)

[2231] arXiv:2212.11325 [pdf, html, other]

Title: Bent functions and strongly regular graphs

Valentino Smaldore

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

[2232] arXiv:2212.11331 [pdf, other]

Title: Uniqueness for the anisotropic fractional conductivity equation

Giovanni Covi

Comments: 24 pages, 0 figures

Subjects: Analysis of PDEs (math.AP)

[2233] arXiv:2212.11334 [pdf, other]

Title: On Gardam's and Murray's units in group rings

Laurent Bartholdi

Subjects: Rings and Algebras (math.RA); Group Theory (math.GR)

[2234] arXiv:2212.11336 [pdf, html, other]

Title: An inertial ADMM for a class of nonconvex composite optimization with nonlinear coupling constraints

Le Thi Khanh Hien, Dimitri Papadimitriou

Subjects: Optimization and Control (math.OC)

[2235] arXiv:2212.11339 [pdf, other]

Title: Bifurcation-type results for the fractional p-Laplacian with parametric nonlinear reaction

Silvia Frassu, Antonio Iannizzotto

Comments: 15 pages

Subjects: Analysis of PDEs (math.AP)

[2236] arXiv:2212.11343 [pdf, other]

Title: Time-Frequency Ridge Estimation of Multi-Component Signals using Sparse Modeling of Signal Innovation

Quentin Legros, Dominique Fourer

Subjects: Numerical Analysis (math.NA)

[2237] arXiv:2212.11347 [pdf, other]

Title: Rowmotion on 321-avoiding permutations

Ben Adenbaum, Sergi Elizalde

Subjects: Combinatorics (math.CO)

[2238] arXiv:2212.11348 [pdf, other]

Title: The Point Spectrum of Smooth Noncompact Hyperbolic Surfaces with Finite Area

Richard Ninness

Comments: Too incomplete at this stage

Subjects: Analysis of PDEs (math.AP)

[2239] arXiv:2212.11350 [pdf, other]

Title: Presymplectic gauge PDEs and Lagrangian BV formalism beyond jet-bundles

Maxim Grigoriev

Comments: 21 pages, technical issues in Section 4.5 fixed, typos corrected

Journal-ref: Contemporary Mathematics Volume 788, 2023

Subjects: Mathematical Physics (math-ph); High Energy Physics - Theory (hep-th)

[2240] arXiv:2212.11351 [pdf, other]

Title: Lower bounds for Riesz-Fischer maps in rigged Hilbert spaces

Francesco Tschinke

Comments: 8 pages

Subjects: Functional Analysis (math.FA)

[2241] arXiv:2212.11354 [pdf, other]

Title: Counting elliptic curves over the rationals with a 7-isogeny

Grant Molnar, John Voight

Comments: 31 pages

Subjects: Number Theory (math.NT)

[2242] arXiv:2212.11356 [pdf, other]

Title: Parity of 4-regular and 8-regular partition functions

Giacomo Cherubini, Pietro Mercuri

Comments: 8 pages

Subjects: Number Theory (math.NT)

[2243] arXiv:2212.11358 [pdf, other]

Title: \textit{A Posteriori} local subcell correction of high-order discontinuous Galerkin scheme for conservation laws on two-dimensional unstructured grids

François Vilar, Rémi Abgrall

Subjects: Numerical Analysis (math.NA)

[2244] arXiv:2212.11371 [pdf, other]

Title: On the graph of the dimension function of the Lagrange and Markov spectra

Carlos Matheus, Carlos Gustavo Moreira, Polina Vytnova

Comments: 20 pages, 3 figures

Subjects: Number Theory (math.NT); Dynamical Systems (math.DS)

[2245] arXiv:2212.11373 [pdf, other]

Title: Critical Points of Toroidal Bely\u{\i} Maps

Tesfa Asmara, Edray Herber Goins, Erik Imathiu-Jones, Maria Maalouf, Isaac Robinson, Sharon Sneha Spaulding

Subjects: Algebraic Geometry (math.AG)

[2246] arXiv:2212.11374 [pdf, other]

Title: Rees algebras and generalized depth-like conditions in prime characteristic

Alessandra Costantini, Kyle Maddox, Lance Edward Miller

Comments: 20 pages, comments welcome!

Journal-ref: Math. Nachr. 297 (2024), 783-802

Subjects: Commutative Algebra (math.AC)

[2247] arXiv:2212.11380 [pdf, html, other]

Title: Flips in Two-dimensional Hypertriangulations

Herbert Edelsbrunner, Alexey Garber, Mohadese Ghafari, Teresa Heiss, Morteza Saghafian

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

[2248] arXiv:2212.11383 [pdf, other]

Title: Invariant foliations of non-degenerate bi-Hamiltonian structures

Ivan Kozlov

Subjects: Differential Geometry (math.DG)

[2249] arXiv:2212.11386 [pdf, other]

Title: Focusing Gibbs measures with harmonic potential

Tristan Robert, Kihoon Seong, Leonardo Tolomeo, Yuzhao Wang

Comments: 31 pages

Subjects: Probability (math.PR)

[2250] arXiv:2212.11389 [pdf, other]

Title: On the Schr\"odinger-Bopp-Podolsky system: Ground state & least energy nodal solutions with nonsmooth nonlinearity

Anouar Bahrouni, Hlel Missaoui

Subjects: Analysis of PDEs (math.AP)