Mathematics

Authors and titles for April 2022

[201] arXiv:2204.00965 [pdf, other]

Title: The Calder\'on problem for the fractional Dirac operator

Hadrian Quan, Gunther Uhlmann

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

[202] arXiv:2204.00980 [pdf, other]

Title: Global existence and optimal decay rate of the classical solution to 3-D Radiative Hydrodynamics with and without Heat Conductivity

Guiqiong Gong, Boran Zhu, Jiawei Zhou

Subjects: Analysis of PDEs (math.AP)

[203] arXiv:2204.00983 [pdf, other]

Title: The restricted quantum double of the Yangian

Curtis Wendlandt

Comments: 68 pages

Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Representation Theory (math.RT)

[204] arXiv:2204.00984 [pdf, other]

Title: Stability of the Minimum Energy Path

Xuanyu Liu, Huajie Chen, Christoph Ortner

Subjects: Numerical Analysis (math.NA)

[205] arXiv:2204.00986 [pdf, other]

Title: Comparability digraphs: An analogue of comparability graphs

Xiao-Lu Gao, Jing Huang, Shou-Jun Xu

Comments: 22 pages, 4 figures, 1 algorithm

Subjects: Combinatorics (math.CO)

[206] arXiv:2204.00994 [pdf, html, other]

Title: Convergence of the Planewave Approximations for Quantum Incommensurate Systems

Ting Wang, Huajie Chen, Aihui Zhou, Yuzhi Zhou, Daniel Massatt

Comments: 29 pages

Subjects: Numerical Analysis (math.NA); Mathematical Physics (math-ph)

[207] arXiv:2204.00995 [pdf, other]

Title: Controllability and observability of linear multi-agent systems over matrix-weighted signed networks

Lanhao Zhao, Zhijian Ji, Yungang Liu, Chong Lin

Comments: 17 pages, 5 figures

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

[208] arXiv:2204.00999 [pdf, other]

Title: On the fractional Korn inequality in bounded domains: Counterexamples to the case $ps<1$

Davit Harutyunyan, Hayk Mikayelyan

Comments: 12 pages

Subjects: Analysis of PDEs (math.AP)

[209] arXiv:2204.01001 [pdf, other]

Title: Infinite-energy solutions to energy-critical nonlinear Schr\"odinger equations in modulation spaces

Robert Schippa

Comments: 14 pages; references added

Subjects: Analysis of PDEs (math.AP)

[210] arXiv:2204.01002 [pdf, other]

Title: A prescribed scalar and boundary mean curvature problem and the Yamabe classification on asymptotically Euclidean manifolds with inner boundary

Vladmir Sicca, Gantumur Tsogtgerel

Comments: 25 pages

Subjects: Analysis of PDEs (math.AP)

[211] arXiv:2204.01008 [pdf, other]

Title: Tur\'an inequalities from Chebyshev to Laguerre polynomials

Bernhard Heim, Markus Neuhauser, Robert Troeger

Subjects: Classical Analysis and ODEs (math.CA); Number Theory (math.NT)

[212] arXiv:2204.01014 [pdf, other]

Title: On Calogero-Moser cellular characters for imprimitive complex reflection groups

Nicolas Jacon, Abel Lacabanne

Comments: 19 pages, comments welcome

Journal-ref: Tunisian J. Math. 5 (2023) 605-625

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

[213] arXiv:2204.01021 [pdf, html, other]

Title: A new approach to evaluating Malmsten's integral and related integrals

Abdulhafeez A. Abdulsalam

Comments: 23 pages

Subjects: Classical Analysis and ODEs (math.CA)

[214] arXiv:2204.01022 [pdf, other]

Title: Implicit-Explicit Error Indicator based on Approximation Order

Mitja Jančič, Filip Strniša, Gregor Kosec

Comments: preprint, splitech conference

Subjects: Numerical Analysis (math.NA)

[215] arXiv:2204.01031 [pdf, other]

Title: Extremals for $\alpha$-Strichartz inequalities

Boning Di, Dunyan Yan

Comments: 31 pages. Some small typos fixed

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

[216] arXiv:2204.01032 [pdf, other]

Title: Categories enriched over oplax monoidal categories

Thomas Basile, Damien Lejay, Kevin Morand

Comments: 63 pages

Subjects: Category Theory (math.CT); Quantum Algebra (math.QA)

[217] arXiv:2204.01033 [pdf, other]

Title: Two iterative formulas of largest and smallest singular value of nonsingular matrices

Shun Xu

Subjects: Numerical Analysis (math.NA)

[218] arXiv:2204.01034 [pdf, other]

Title: Finsler metrics and semi-symmetric compatible linear connections

Csaba Vincze, Márk Oláh

Subjects: Differential Geometry (math.DG)

[219] arXiv:2204.01036 [pdf, other]

Title: From asymptotic to closed forms for the Keiper/Li approach to the Riemann Hypothesis

André Voros

Comments: 17 p., 7 figs. Workshop for Prof. Yoshitsugu TAKEI's 60-th birthday, RIMS, Kyoto Univ., Oct. 2021. V2: a few rewordings (e.g., eq.(6)), new ref. [2] added

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

[220] arXiv:2204.01039 [pdf, other]

Title: A note on second derivative estimates for Monge-Ampe`re type equations

Neil S Trudinger

Comments: 10 pages

Subjects: Analysis of PDEs (math.AP)

[221] arXiv:2204.01043 [pdf, other]

Title: Normalized solutions of $L^2$-supercritical NLS equations on compact metric graphs

Xiaojun Chang, Louis Jeanjean, Nicola Soave

Subjects: Analysis of PDEs (math.AP)

[222] arXiv:2204.01045 [pdf, other]

Title: When does a hypergeometric function ${}_{p\!}F_q$ belong to the Laguerre--P\'olya class $LP^+$?

Alan D. Sokal

Comments: 10 pages, LaTeX2e

Journal-ref: J. Math. Anal. Appl. 515, 126432 (2022)

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

[223] arXiv:2204.01050 [pdf, other]

Title: Understanding the unstable convergence of gradient descent

Kwangjun Ahn, Jingzhao Zhang, Suvrit Sra

Comments: Accepted to the 39th International Conference on Machine Learning (ICML 2022), Baltimore, Maryland, USA. Version 2 improves writing and presentation, adds discussion regarding concurrent works

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

[224] arXiv:2204.01051 [pdf, other]

Title: Formulae of $\imath$-divided powers in ${\bf U}_q(\mathfrak{sl}_2)$, III

Xinhong Chen, Weiqiang Wang

Comments: 21 pages, v2, results upgraded to general parameters, accepted for publication

Journal-ref: J. Algebra 619 (2023), 221-248

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

[225] arXiv:2204.01054 [pdf, other]

Title: Combinatorial refinement on circulant graphs

Laurence Kluge

Comments: 20 pages, 1 figure

Journal-ref: comput. complex. 33, 9 (2024)

Subjects: Combinatorics (math.CO); Computational Complexity (cs.CC); Discrete Mathematics (cs.DM)

[226] arXiv:2204.01057 [pdf, other]

Title: A Survey on Machine Learning Solutions for Graph Pattern Extraction

Kai Siong Yow, Ningyi Liao, Siqiang Luo, Reynold Cheng, Chenhao Ma, Xiaolin Han

Comments: v1: 41 pages; v2: 40 pages ; v3: This version focuses on just subgraph problems (discussions on other classic graph problems can be found in the earlier versions)

Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM); Machine Learning (cs.LG)

[227] arXiv:2204.01058 [pdf, other]

Title: Random Fully Connected Neural Networks as Perturbatively Solvable Hierarchies

Boris Hanin

Comments: 86p

Subjects: Probability (math.PR); Machine Learning (cs.LG); Machine Learning (stat.ML)

[228] arXiv:2204.01060 [pdf, other]

Title: Non-abelian extensions of Rota-Baxter Lie algebras and inducibility of automorphisms

Apurba Das, Samir Kumar Hazra, Satyendra Kumar Mishra

Comments: Any comments/suggestions are welcome

Subjects: Rings and Algebras (math.RA); Representation Theory (math.RT)

[229] arXiv:2204.01067 [pdf, other]

Title: A Weak Galerkin Mixed Finite Element Method for second order elliptic equations on 2D Curved Domains

Yi Liu, Wenbin Chen, Yanqiu Wang

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

[230] arXiv:2204.01068 [pdf, other]

Title: Period-doubling Continued Fractions are Algebraic in Characteristic $2$

Yining Hu, Alain Lasjaunias

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

[231] arXiv:2204.01070 [pdf, other]

Title: Large time behavior of solutions to the Cauchy problem for the BBM-Burgers equation

Ikki Fukuda, Masahiro Ikeda

Comments: 28 pages

Journal-ref: Journal of Differential Equations 336 (2022) 275-314

Subjects: Analysis of PDEs (math.AP)

[232] arXiv:2204.01073 [pdf, other]

Title: Relatively hyperbolic metric bundles and Cannon-Thurston map

Swathi Krishna

Comments: 40 pages, 4 figures

Subjects: Group Theory (math.GR)

[233] arXiv:2204.01074 [pdf, other]

Title: Precoloring extension of Vizing's Theorem for multigraphs

Yan Cao, Guantao Chen, Guangming Jing, Xuli Qi, Songling Shan

Comments: 23 pages,4 figures

Subjects: Combinatorics (math.CO)

[234] arXiv:2204.01076 [pdf, other]

Title: On Angles in Higher Order Brillouin Tessellations and Related Tilings in the Plane

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

Journal-ref: Discrete & Computational Geometry 72.1 (2024): 29-48

Subjects: Combinatorics (math.CO); Computational Geometry (cs.CG); Metric Geometry (math.MG); Probability (math.PR)

[235] arXiv:2204.01077 [pdf, other]

Title: Brillouin Zones of Integer Lattices and Their Perturbations

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

Journal-ref: SIAM Journal on Discrete Mathematics 38.2 (2024): 1784-1807

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

[236] arXiv:2204.01082 [pdf, other]

Title: Stratification and the smashing spectrum

Charalampos Verasdanis

Comments: 27 pages, final version, to appear in Mathematische Zeitschrift

Subjects: Category Theory (math.CT)

[237] arXiv:2204.01083 [pdf, other]

Title: On the discrete equation model for compressible multiphase fluid flows

Marco Petrella, Remi Abgrall, Siddhartha Mishra

Subjects: Numerical Analysis (math.NA)

[238] arXiv:2204.01085 [pdf, other]

Title: On Pappus Configurations in Hall Planes

Felix Lazebnik, Lorinda Leshock

Comments: 25 pages, 2 figures

Subjects: Combinatorics (math.CO)

[239] arXiv:2204.01088 [pdf, other]

Title: Covariance Representations, $L^p$-Poincar\'e Inequalities, Stein's Kernels and High Dimensional CLTs

Benjamin Arras, Christian Houdré

Comments: 58 pages

Journal-ref: High Dimensional Probability IX:The Ethereal Volume, 2023

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

[240] arXiv:2204.01094 [pdf, other]

Title: Wick rotation of linearized gravity in Gaussian time and Calder\'on projectors

Christian Gérard, Simone Murro, Michał Wrochna

Comments: 63 pages; v2: substantial revision, corrects boundary terms in Sec. 6, introduction reworked

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); Analysis of PDEs (math.AP)

[241] arXiv:2204.01096 [pdf, other]

Title: Closed 1/2-Elasticae in the 2-Sphere

Emilio Musso, Alvaro Pampano

Comments: To appear in Journal of Nonlinear Science

Subjects: Differential Geometry (math.DG)

[242] arXiv:2204.01100 [pdf, other]

Title: Strong convergence rates of an explicit scheme for stochastic Cahn--Hilliard equation with additive noise

Meng Cai, Ruisheng Qi, Xiaojie Wang

Comments: 34 pages, 5 figures

Journal-ref: BIT Numerical Mathematics,2023

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

[243] arXiv:2204.01105 [pdf, other]

Title: Better Lattice Quantizers Constructed from Complex Integers

Shanxiang Lyu, Zheng Wang, Cong Ling, Hao Chen

Comments: To appear in IEEE Transactions on Communications. 10 pages

Subjects: Information Theory (cs.IT)

[244] arXiv:2204.01118 [pdf, other]

Title: An introduction to composition operators in Sobolev spaces

Gérard Bourdaud

Comments: This is an updated version of notes for a series of lectures, given in Padova University in January 2018

Subjects: Functional Analysis (math.FA)

[245] arXiv:2204.01121 [pdf, other]

Title: Solvability of the Gleason problem on a class of bounded pseudoconvex domains

Timothy G. Clos

Comments: 9 pages. Comments welcome. Submitted

Subjects: Complex Variables (math.CV)

[246] arXiv:2204.01122 [pdf, other]

Title: Yet another Freiheitssatz: Mating finite groups with locally indicable ones

Anton A. Klyachko, Mikhail A. Mikheenko

Comments: 6 pages. A Russian version of this paper is at this http URL V4: minor misprint corrections

Journal-ref: Glasgow Mathematical Journal, 65:2 (2023), 337-344

Subjects: Group Theory (math.GR)

[247] arXiv:2204.01125 [pdf, other]

Title: An introduction to KMS weights

Klaus Erik Thomsen

Comments: v6 is a beta-version of something. All comments on the material will be appreciated. 238 pages

Subjects: Operator Algebras (math.OA)

[248] arXiv:2204.01128 [pdf, html, other]

Title: Reflective obstructions of unitary modular varieties

Yota Maeda

Comments: 45 pages

Journal-ref: J. Algebra (2024)

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

[249] arXiv:2204.01129 [pdf, other]

Title: Bernstein algebras that are algebraic and the Kurosh problem

Dmitri Piontkovski, Fouad Zitan

Comments: 45 pages

Subjects: Rings and Algebras (math.RA)

[250] arXiv:2204.01140 [pdf, other]

Title: Deformations of Vaisman manifolds

Liviu Ornea, Vladimir Slesar

Subjects: Differential Geometry (math.DG)