Mathematics

Authors and titles for August 2022

[1301] arXiv:2208.06126 [pdf, other]

Title: Connected Tur\'an number of trees

Yair Caro, Balázs Patkós, Zsolt Tuza

Subjects: Combinatorics (math.CO)

[1302] arXiv:2208.06131 [pdf, other]

Title: A variation of the reduced Vafa-Witten equations on 4-manifolds

Ren Guan

Comments: arXiv admin note: text overlap with arXiv:2207.03701

Subjects: Differential Geometry (math.DG)

[1303] arXiv:2208.06132 [pdf, html, other]

Title: On the Physical Layer Security of Visible Light Communications Empowered by Gold Nanoparticles

Geonho Han, Hyuckjin Choi, Ryeong Myeong Kim, Ki Tae Nam, Junil Choi, Theodoros A. Tsiftsis

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

[1304] arXiv:2208.06134 [pdf, other]

Title: Level-wise Subgeometric Convergence of the Level-increment Truncation Approximation of M/G/1-type Markov Chains

Katsuhisa Ouchi, Hiroyuki Masuyama

Comments: 20 pages This is a revised version of the paper to appear in JORSJ, Vol. 65, No. 4, 2022

Subjects: Probability (math.PR)

[1305] arXiv:2208.06138 [pdf, other]

Title: Stickelberger's discriminant theorem for algebras

Asher Auel, Owen Biesel, John Voight

Comments: 15 pages; accepted to Amer. Math. Monthly

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

[1306] arXiv:2208.06141 [pdf, html, other]

Title: New explicit bounds for Mertens function and the reciprocal of the Riemann zeta-function

Ethan S. Lee, Nicol Leong

Comments: We have built upon, extended, and improved every aspect of the previously withdrawn paper, while avoiding recent analytic tools that have been revealed to contain errors. Our new results are quantitatively and asymptotically sharper than other (current) results in the literature. As always, any comments are welcomed with open arms!

Subjects: Number Theory (math.NT)

[1307] arXiv:2208.06152 [pdf, other]

Title: ALS: Augmented Lagrangian Sketching Methods for Linear Systems

Md Sarowar Morshed

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

[1308] arXiv:2208.06166 [pdf, other]

Title: Analysis of subsystems with rooks on a chess-board representing a partial Latin square (Part 2.)

Béla Jónás

Subjects: Combinatorics (math.CO)

[1309] arXiv:2208.06170 [pdf, other]

Title: Admissible fundamental operators associated with two domains related to $\mu$-synthesis

Bappa Bisai

Comments: 25 Pages

Subjects: Functional Analysis (math.FA)

[1310] arXiv:2208.06171 [pdf, other]

Title: Global unique solution for the 3-D full compressible MHD equations in space of lower regularity

Chuanbao Wang, Fei Chen, Shuai Wang

Subjects: Analysis of PDEs (math.AP)

[1311] arXiv:2208.06177 [pdf, html, other]

Title: Status Update Control and Analysis under Two-Way Delay

Mohammad Moltafet, Markus Leinonen, Marian Codreanu, Roy D. Yates

Subjects: Information Theory (cs.IT)

[1312] arXiv:2208.06181 [pdf, other]

Title: Harish-Chandra modules over the high rank $W$-algebra $W(2,2)$

Haibo Chen

Subjects: Representation Theory (math.RT)

[1313] arXiv:2208.06184 [pdf, other]

Title: A sufficient and necessary condition of generalized polynomial Li\'enard systems with global centers

Hebai Chen, Zhijie Li, Rui Zhang

Subjects: Dynamical Systems (math.DS)

[1314] arXiv:2208.06185 [pdf, other]

Title: Coarea Inequality for Monotone Functions on Metric Surfaces

Behnam Esmayli, Toni Ikonen, Kai Rajala

Comments: Comments are welcome

Subjects: Metric Geometry (math.MG)

[1315] arXiv:2208.06187 [pdf, other]

Title: Stabilizer quantum codes defined by trace-depending polynomials

Carlos Galindo, Fernando Hernando, Helena Martín-Cruz, Diego Ruano

Journal-ref: Finite Fields Appl., 87:102138, 2023

Subjects: Information Theory (cs.IT)

[1316] arXiv:2208.06188 [pdf, other]

Title: Solvability of a class of mean-field BSDEs with quadratic growth

Tao Hao, Jiaqiang Wen, Jie Xiong

Comments: 15 pages. arXiv admin note: text overlap with arXiv:1909.10846

Journal-ref: Statistics and Probability Letters (2022)

Subjects: Probability (math.PR)

[1317] arXiv:2208.06189 [pdf, other]

Title: Cubic vertex-transitive graphs admitting automorphisms of large order

Primož Potočnik, Micael Toledo

Subjects: Combinatorics (math.CO)

[1318] arXiv:2208.06191 [pdf, other]

Title: A comparative study of scalable multilevel preconditioners for cardiac mechanics

Nicolás A. Barnafi, Luca F. Pavarino, Simone Scacchi

Comments: 25 pages, 14 figures, 2 tables

Subjects: Numerical Analysis (math.NA)

[1319] arXiv:2208.06194 [pdf, other]

Title: Parallel QR Factorization of Block Low-Rank Matrices

M. Ridwan Apriansyah, Rio Yokota

Comments: 23 pages, 12 figures

Subjects: Numerical Analysis (math.NA); Mathematical Software (cs.MS)

[1320] arXiv:2208.06197 [pdf, other]

Title: On Lipschitz continuity and smoothness up to the boundary of solutions of hyperbolic Poisson's equation

Miodrag Mateljević, Nikola Mutavdžić

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

[1321] arXiv:2208.06200 [pdf, html, other]

Title: Synchronizing Dynamical Systems: Shift Spaces and $K$-Theory

Robin J Deeley, Andrew M Stocker

Comments: Major changes: Deeley added as a coauthor, new results relating the shift of finite type case to the sofic case (e.g., Theorem 4.6, Corollaries 4.8 and 4.9), additional examples (e.g., Section 7)

Subjects: Operator Algebras (math.OA); Dynamical Systems (math.DS); K-Theory and Homology (math.KT)

[1322] arXiv:2208.06206 [pdf, html, other]

Title: On approximations of Feynman path integrals

Tapani Hyttinen

Subjects: Logic (math.LO); High Energy Physics - Phenomenology (hep-ph)

[1323] arXiv:2208.06214 [pdf, other]

Title: Canonical integral operators on the Fock space

Xingtang Dong, Kehe Zhu

Subjects: Functional Analysis (math.FA); Complex Variables (math.CV)

[1324] arXiv:2208.06215 [pdf, other]

Title: $\mu$-Hankel Operators on Compact Abelian Groups

A. R. Mirotin

Subjects: Functional Analysis (math.FA)

[1325] arXiv:2208.06217 [pdf, other]

Title: $p$-local decompositions of projective Stiefel manifolds

Samik Basu, Debanil Dasgupta, Shilpa Gondhali, Swagata Sarkar

Subjects: Algebraic Topology (math.AT)

[1326] arXiv:2208.06229 [pdf, other]

Title: Determining sets for holomorphic functions on the symmetrized bidisk

B. Krishna Das, P. Kumar, H. Sau

Subjects: Complex Variables (math.CV)

[1327] arXiv:2208.06230 [pdf, other]

Title: On multiplicative functions with small partial sums

Stelios Sachpazis

Comments: 22 pages; A few typos were corrected and part of Section 2 has been rewritten

Subjects: Number Theory (math.NT)

[1328] arXiv:2208.06237 [pdf, other]

Title: Geometry of higher rank valuations

Omid Amini, Hernan Iriarte

Comments: 49 pages, 3 figures, comments welcome

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

[1329] arXiv:2208.06241 [pdf, other]

Title: Variable Lebesgue algebra on a Locally Compact group

Parthapratim Saha, Bipan Hazarika

Comments: 10 pages

Subjects: Functional Analysis (math.FA)

[1330] arXiv:2208.06248 [pdf, other]

Title: A short proof of the elliptical range theorem

Gyula Lakos

Comments: 2 pages

Subjects: Spectral Theory (math.SP); Rings and Algebras (math.RA)

[1331] arXiv:2208.06253 [pdf, other]

Title: $K_0$ groups of noncommutative $\mathbb{R}^{2n}$

Ren Guan

Subjects: Rings and Algebras (math.RA); Mathematical Physics (math-ph)

[1332] arXiv:2208.06254 [pdf, other]

Title: New structures for uninorms on bounded lattices

Z.-Y. Xiu, Y.-X. Jiang

Comments: 28pages

Subjects: Rings and Algebras (math.RA); Logic (math.LO)

[1333] arXiv:2208.06257 [pdf, other]

Title: Asymptotic expansions of high-frequency multiple scattering iterations for sound hard scattering problems

Yassine Boubendir, Fatih Ecevit

Comments: 32 pages, 3 figures

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

[1334] arXiv:2208.06266 [pdf, other]

Title: Boundedness of Calder\'on--Zygmund operators on ball Campanato-type function spaces

Yiqun Chen, Hongchao Jia, Dachun Yang

Comments: 32 pages, Submitted. arXiv admin note: substantial text overlap with arXiv:2206.06551, arXiv:2206.06080

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

[1335] arXiv:2208.06277 [pdf, other]

Title: Two term relations between multizeta of depth two for $\mathbb{F}_q[t]$

José Alejandro Lara Rodríguez

Subjects: Number Theory (math.NT)

[1336] arXiv:2208.06280 [pdf, other]

Title: Short time existence of a quasi-stationary fluid-structure interaction problem for plaque growth

Helmut Abels, Yadong Liu

Comments: 31 Pages

Journal-ref: Adv. Nonlinear Anal., 12(1): 20230101, 2023

Subjects: Analysis of PDEs (math.AP)

[1337] arXiv:2208.06281 [pdf, other]

Title: Bicategories of Action Groupoids

Carla Farsi, Laura Scull, Jordan Watts

Comments: 27 pages; v2 is a version more appropriate for publication, and is streamlined. However, v1 has more details for many of the proofs

Subjects: Differential Geometry (math.DG)

[1338] arXiv:2208.06284 [pdf, other]

Title: Diameter estimate for planar $L_p$ dual Minkowski problem

Minhyun Kim, Taehun Lee

Comments: 16 pages, 5 figures

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

[1339] arXiv:2208.06285 [pdf, other]

Title: Quadratic forms for Aharonov-Bohm Hamiltonians

Davide Fermi

Comments: 21 pages, contribution to the proceedings of the intensive period "INdAM Quantum Meetings (IQM22)" at Politecnico di Milano, March-May 2022 (see this https URL)

Journal-ref: pp. 205-228 in M. Correggi, M. Falconi (Eds.), ''Quantum Mathematics I'', Springer INdAM Series (SINDAMS, vol. 57), Springer Singapore (2024)

Subjects: Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[1340] arXiv:2208.06288 [pdf, other]

Title: $\pi$-spaces and their open images

Mikhail Patrakeev, Vlad Smolin

Subjects: General Topology (math.GN)

[1341] arXiv:2208.06289 [pdf, other]

Title: Poincar\'e Complex Diagonals and the Bass trace Conjecture

John R. Klein, Florian Naef

Comments: Final prepublication version. This paper is to appear in, "Manifolds and K-Theory: in honour of Andrew Ranicki of the journal Proceedings of the Royal Society of Edinburgh Section A: Mathematics."

Subjects: Algebraic Topology (math.AT); Geometric Topology (math.GT); K-Theory and Homology (math.KT)

[1342] arXiv:2208.06290 [pdf, other]

Title: Solving Linear Systems on a GPU with Hierarchically Off-Diagonal Low-Rank Approximations

Chao Chen, Per-Gunnar Martinsson

Subjects: Numerical Analysis (math.NA)

[1343] arXiv:2208.06294 [pdf, other]

Title: Toric and non-toric Bayesian networks

Lisa Nicklasson

Journal-ref: SIAM Journal on Applied Algebra and Geometry. Vol. 7, no 3 (2023), p. 549-566

Subjects: Statistics Theory (math.ST); Commutative Algebra (math.AC)

[1344] arXiv:2208.06299 [pdf, other]

Title: Hessenberg varieties of codimension one in the flag variety

Laura Escobar, Martha Precup, John Shareshian

Comments: Version 2 includes updates to the statement of Theorem 5, its proof, and the example appearing at the end of Section 5

Subjects: Algebraic Geometry (math.AG)

[1345] arXiv:2208.06300 [pdf, other]

Title: Fluid-rigid body interaction in a compressible electrically conducting fluid

Jan Scherz

Comments: 37 pages, 1 figure

Subjects: Analysis of PDEs (math.AP)

[1346] arXiv:2208.06310 [pdf, other]

Title: Classification of multistationarity for mass action networks with one-dimensional stoichiometric subspace

Casian Pantea, Galyna Voitiuk

Comments: 26 pages, 13 figures

Subjects: Dynamical Systems (math.DS); Molecular Networks (q-bio.MN)

[1347] arXiv:2208.06312 [pdf, other]

Title: Existence of Nonzero Trace-Zero Idempotents in the Group Algebras of Finite Groups

Wenhua Zhao, Dan Yan

Comments: Latex 17 pages

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

[1348] arXiv:2208.06319 [pdf, other]

Title: Gauss Sums in Algebra and Topology

Laurence R. Taylor

Comments: 20 pages

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

[1349] arXiv:2208.06323 [pdf, other]

Title: On the non-measurability of $\omega$-categorical Hrushovski constructions

Paolo Marimon

Comments: 24 pages; 10 figures

Subjects: Logic (math.LO)

[1350] arXiv:2208.06324 [pdf, other]

Title: On the Connectivity and Diameter of Geodetic Graphs

Asaf Etgar, Nati Linial

Comments: 10 pages, 5 figures

Subjects: Combinatorics (math.CO)