Mathematics

Authors and titles for January 2022

[101] arXiv:2201.00343 [pdf, other]

Title: Leader-Follower Synchronization of a Network of Boundary-Controlled Parabolic Equations With In-Domain Coupling

Abbas Kabalan, Francesco Ferrante, Giacomo Casadei, Andrea Cristofaro, Christophe Prieur

Comments: V1 matches published version

Journal-ref: IEEE Control Systems Letters, vol. 6, pages 2006-2011, 2022

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

[102] arXiv:2201.00344 [pdf, other]

Title: A Bound on the Minimal Field Size of LRCs, and Cyclic MR Codes That Attain It

Han Cai, Moshe Schwartz

Subjects: Information Theory (cs.IT)

[103] arXiv:2201.00352 [pdf, other]

Title: Almost complex torus manifolds -- graphs, Hirzebruch genera, and problem of Petrie type

Donghoon Jang

Comments: Changed from almost complex toric manifolds to almost complex torus manifolds, to avoid confusion with toric manifolds that are complex. Minor revisions

Subjects: Differential Geometry (math.DG); Algebraic Topology (math.AT)

[104] arXiv:2201.00353 [pdf, other]

Title: Anisotropic versions of the Brezis-Van Schaftingen-Yung approach at $s=1$ and $s=0$

Qingsong Gu, Qingzhong Huang

Comments: 16 pages

Subjects: Functional Analysis (math.FA)

[105] arXiv:2201.00357 [pdf, other]

Title: Pseudorandom Vector Generation Using Elliptic Curves And Applications

Chung Pang Mok

Comments: To appear in Finite Fields and Their Applications

Subjects: Probability (math.PR)

[106] arXiv:2201.00362 [pdf, other]

Title: Verification of some functional inequalities via polynomial optimization

Giovanni Fantuzzi

Comments: 8 pages. Submitted to IFAC for possible publication

Subjects: Optimization and Control (math.OC)

[107] arXiv:2201.00367 [pdf, other]

Title: The (2,3)-generation of the finite 8-dimensional orthogonal groups

M.A. Pellegrini, M.C. Tamburini Bellani

Subjects: Group Theory (math.GR)

[108] arXiv:2201.00368 [pdf, other]

Title: A priori estimates, uniqueness and non-degeneracy of positive solutions of the Choquard equation

Zexing Li

Comments: 39 pages

Subjects: Analysis of PDEs (math.AP)

[109] arXiv:2201.00370 [pdf, other]

Title: Decoding Nonbinary LDPC Codes via Proximal-ADMM Approach (include convergence proofs)

Yongchao Wang, Jing Bai

Subjects: Information Theory (cs.IT)

[110] arXiv:2201.00372 [pdf, other]

Title: Parameter estimation of stochastic differential equation driven by small fractional noise

Shohei Nakajima, Yasutaka Shimizu

Subjects: Statistics Theory (math.ST)

[111] arXiv:2201.00379 [pdf, other]

Title: Some Modifications of Getzler's Grading technique

Andres Larrain-Hubach

Comments: 16 pages

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

[112] arXiv:2201.00380 [pdf, other]

Title: Hamiltonian Dynamics of a spaceship in Alcubierre and G\"odel metrics: Recursion operators and underlying master symmetries

Mahouton Norbert Hounkonnou, Mahougnon Justin Landalidji, Melanija Mitrovíc

Subjects: Mathematical Physics (math-ph)

[113] arXiv:2201.00381 [pdf, other]

Title: Stability of multi-population traffic flows

Amaury Hayat, Benedetto Piccoli, Shengquan Xiang

Comments: 22 pages, 2 figures

Subjects: Optimization and Control (math.OC); Physics and Society (physics.soc-ph)

[114] arXiv:2201.00386 [pdf, other]

Title: Mathematical Insights in the Pioneering Educational Project FSTF

Enzo Bonacci

Comments: 7 pages, 8 figures. This open access article completes and refines the ATINER Conference Paper Series No: EMS2015-1604. The Creative Commons 4.0 license of the IJMSA (ISSN: 2230-9888) is stated at this https URL

Journal-ref: International Journal of Mathematical Sciences and Applications 6(1) (2016) 13-19

Subjects: History and Overview (math.HO)

[115] arXiv:2201.00387 [pdf, other]

Title: On the convex hull of convex quadratic optimization problems with indicators

Linchuan Wei, Alper Atamtürk, Andrés Gómez, Simge Küçükyavuz

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

[116] arXiv:2201.00389 [pdf, other]

Title: A Normal Graph Algebra

Harold N. Ward

Comments: 16 pages

Subjects: Combinatorics (math.CO)

[117] arXiv:2201.00391 [pdf, other]

Title: On the independence number of random trees via tricolourations

Etienne Bellin

Comments: 12 pages, 5 figures

Subjects: Probability (math.PR)

[118] arXiv:2201.00394 [pdf, other]

Title: Solving the signed Roman domination and signed total Roman domination problems with exact and heuristic methods

Vladimir Filipović, Dragan Matić, Aleksandar Kartelj

Subjects: Optimization and Control (math.OC); Discrete Mathematics (cs.DM)

[119] arXiv:2201.00398 [pdf, other]

Title: An elementary approach to local combinatorial formulae for the Euler class of a PL spherical fiber bundle

Gaiane Panina

Subjects: Algebraic Topology (math.AT)

[120] arXiv:2201.00402 [pdf, other]

Title: A General Framework for Evaluating Robustness of Combinatorial Optimization Solvers on Graphs

Han Lu, Zenan Li, Runzhong Wang, Qibing Ren, Junchi Yan, Xiaokang Yang

Subjects: Optimization and Control (math.OC); Artificial Intelligence (cs.AI); Cryptography and Security (cs.CR); Machine Learning (cs.LG)

[121] arXiv:2201.00406 [pdf, other]

Title: There are no Collatz-m-Cycles with $m\leq 91$

Christian Hercher

Comments: 22 pages

Journal-ref: Journal of Integer Sequences, Vol. 26, Issue 3 (2023), Article 23.3.5

Subjects: Number Theory (math.NT)

[122] arXiv:2201.00407 [pdf, other]

Title: Aprendizaje de los n\'umeros complejos usando diferentes sistemas de c\'alculo simb\'olico y un sistema de evaluaci\'on en l\'inea en formaci\'on inicial de profesores

Jorge Gaona, Silvia López, Elizabeth Montoya Delgadillo

Comments: 27 page, in Spanish, 12 figures and 8 tables

Subjects: History and Overview (math.HO)

[123] arXiv:2201.00410 [pdf, other]

Title: Thresholds and more bands of A.C. spectrum for the Molchanov--Vainberg Schr\"odinger operator with a more general long range condition

Marc-Adrien Mandich

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

[124] arXiv:2201.00413 [pdf, other]

Title: Strong convergence of the thresholding scheme for the mean curvature flow of mean convex sets

Jakob Fuchs, Tim Laux

Comments: 59 pages, 12 figures, revised version, additional examples and discussion

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

[125] arXiv:2201.00415 [pdf, other]

Title: On universal sampling representation

V.N. Temlyakov

Subjects: Numerical Analysis (math.NA); Functional Analysis (math.FA)

[126] arXiv:2201.00416 [pdf, other]

Title: A Generalized RSK for Enumerating Linear Series on $n$-pointed Curves

Maria Gillespie, Andrew Reimer-Berg

Subjects: Combinatorics (math.CO); Algebraic Geometry (math.AG)

[127] arXiv:2201.00421 [pdf, other]

Title: Symmetric states for $C^*$-Fermi systems I: De Finetti theorem

Francesco Fidaleo

Comments: 19 pages

Journal-ref: Review in Mathematical Phisics, 2022

Subjects: Operator Algebras (math.OA)

[128] arXiv:2201.00422 [pdf, other]

Title: Quantitative control of Wasserstein distance between Brownian motion and the Goldstein--Kac telegraph process

Gerardo Barrera, Jani Lukkarinen

Comments: 60 pp

Journal-ref: Annales de l'Institut Henri Poincar\'e (B) Probabilit\'es et Statistiques, 2023, Volume 59, Number 2, 933-982

Subjects: Probability (math.PR); Mathematical Physics (math-ph)

[129] arXiv:2201.00425 [pdf, other]

Title: The Fixed Point Property of Quasi-Point-Separable Topological Vector Spaces

Jinlu Li

Comments: 10 pages. arXiv admin note: substantial text overlap with arXiv:2012.02345

Subjects: Functional Analysis (math.FA)

[130] arXiv:2201.00432 [pdf, other]

Title: A Linear Algorithm for Computing Independence Polynomials of Trees

Ohr Kadrawi, Vadim E. Levit, Ron Yosef, Matan Mizrachi

Comments: 8 pages

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

[131] arXiv:2201.00442 [pdf, other]

Title: Singular Lie filtrations and weightings

Yiannis Loizides, Eckhard Meinrenken

Subjects: Differential Geometry (math.DG)

[132] arXiv:2201.00446 [pdf, other]

Title: Gradient Free Cooperative Seeking of a Moving Source

Elad Michael, Chris Manzie, Tony A. Wood, Daniel Zelazo, Iman Shames

Comments: 13 pages, 6 figures, submitted to Automatica

Subjects: Optimization and Control (math.OC)

[133] arXiv:2201.00447 [pdf, other]

Title: Distinction and quadratic base change for regular supercuspidal representations

Chuijia Wang

Comments: 72 pages. Comments welcome!

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

[134] arXiv:2201.00448 [pdf, other]

Title: Random vortex dynamics via functional stochastic differential equations

Zhongmin Qian, Endre Süli, Yihuang Zhang

Comments: 21 pages, 3 figures, 1 table

Subjects: Mathematical Physics (math-ph)

[135] arXiv:2201.00450 [pdf, other]

Title: On randomized sketching algorithms and the Tracy-Widom law

Daniel Ahfock, William J. Astle, Sylvia Richardson

Subjects: Numerical Analysis (math.NA); Computation (stat.CO)

[136] arXiv:2201.00453 [pdf, other]

Title: The bipartite Turan number and spectral extremum for linear forests

Ming-Zhu Chen, Ning Wang, Long-Tu Yuan, Xiao-Dong Zhang

Comments: 18 pages

Subjects: Combinatorics (math.CO)

[137] arXiv:2201.00456 [pdf, other]

Title: Halliday-Suranyi Approach to the Anharmonic Oscillator

Nabin Bhatta, Tatsu Takeuchi

Comments: 15 pages, 7 color figures (9 pdf files), uses ws-proc961x669 class files. Contribution to Peter Suranyi Festschrift

Subjects: Mathematical Physics (math-ph); High Energy Physics - Phenomenology (hep-ph); Quantum Physics (quant-ph)

[138] arXiv:2201.00473 [pdf, other]

Title: Determination of $\textrm{GL}(3)$ cusp forms by central values of quadratic twisted $L$-functions

Shenghao Hua, Bingrong Huang

Comments: 26 pages. Modified the proof of Theorem 1.3 in the previous version of this paper

Subjects: Number Theory (math.NT)

[139] arXiv:2201.00474 [pdf, other]

Title: Asymptotics of $k$-nearest neighbor Riesz energies

Douglas P. Hardin, Edward B. Saff, Oleksandr Vlasiuk

Comments: 38 pages, 4 figures. Extends Sections 5.2-4 of arXiv:2010.11937. Version 2 corrects a number of minor typos

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

[140] arXiv:2201.00476 [pdf, other]

Title: On invariant of the regularity index of fat points

Phan Van Thien

Subjects: Algebraic Geometry (math.AG)

[141] arXiv:2201.00478 [pdf, other]

Title: $T\overline T$-deformed modular forms

John Cardy

Comments: 19 pages. v2: section on Dirichlet series revised

Journal-ref: Communications in Number Theory and Physics, Vol. 16, No. 3 (2022), pp. 435-457

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

[142] arXiv:2201.00481 [pdf, other]

Title: Optimal Reinsurance to Minimize the Probability of Drawdown under the Mean-Variance Premium Principle: Asymptotic Analysis

Pablo Azcue, Xiaoqing Liang, Nora Muler, Virginia R. Young

Subjects: Optimization and Control (math.OC)

[143] arXiv:2201.00482 [pdf, other]

Title: On the Shafarevich conjecture for irreducible symplectic varieties

Teppei Takamatsu

Comments: 22 pages, this paper was superseded by arXiv:2203.10391

Subjects: Number Theory (math.NT)

[144] arXiv:2201.00489 [pdf, other]

Title: Measure-Theoretically Mixing Subshifts with Low Complexity

Darren Creutz, Ronnie Pavlov, Shaun Rodock

Comments: Revised based on helpful referee feedback

Subjects: Dynamical Systems (math.DS)

[145] arXiv:2201.00493 [pdf, other]

Title: Beauville-Voisin filtrations on zero cycles of moduli space of stable sheaves on K3 surfaces

Zhiyuan Li, Ruxuan Zhang

Comments: 7 pages. Corollary 3.3 added. Comments are welcome!

Subjects: Algebraic Geometry (math.AG)

[146] arXiv:2201.00497 [pdf, other]

Title: Criteria for Starlikeness Using Schwarzian Derivatives

Asha Sebastian, V. Ravichandran

Subjects: Complex Variables (math.CV)

[147] arXiv:2201.00498 [pdf, other]

Title: Variational Inverting Network for Statistical Inverse Problems of Partial Differential Equations

Junxiong Jia, Yanni Wu, Peijun Li, Deyu Meng

Comments: 61 pages

Subjects: Numerical Analysis (math.NA)

[148] arXiv:2201.00501 [pdf, html, other]

Title: A note on the squares of the form $\prod_{k=1}^n (2k^2+l)$ with $l$ odd

Russelle Guadalupe

Subjects: Number Theory (math.NT)

[149] arXiv:2201.00505 [pdf, other]

Title: Superquantile-based learning: a direct approach using gradient-based optimization

Yassine Laguel (UGA), Jérôme Malick (CNRS), Zaid Harchaoui

Subjects: Optimization and Control (math.OC)

[150] arXiv:2201.00506 [pdf, other]

Title: Total Controllability of nonlocal semilinear functional evolution equations with non-instantaneous impulses

J. Kumar, S. Singh, S. Arora, J. Dabas

Subjects: Optimization and Control (math.OC)