Mathematics

Authors and titles for December 2022

[401] arXiv:2212.02023 [pdf, other]

Title: A survey on Newhouse thickness, fractal intersections and patterns

Alexia Yavicoli

Comments: 26 pages

Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA); Dynamical Systems (math.DS)

[402] arXiv:2212.02029 [pdf, other]

Title: The LG Fibration

Daniel Livschitz, Weiqing Gu

Subjects: Differential Geometry (math.DG); Artificial Intelligence (cs.AI)

[403] arXiv:2212.02037 [pdf, other]

Title: A generalization of the Murnaghan-Nakayama rule for $K$-$k$-Schur and $k$-Schur functions

Khanh Nguyen Duc

Comments: 22 pages, 6 pictures

Journal-ref: International Mathematics Research Notices, volume 2024, issue 6 (2024), 4738-4766

Subjects: Representation Theory (math.RT); Combinatorics (math.CO); K-Theory and Homology (math.KT)

[404] arXiv:2212.02038 [pdf, other]

Title: A torsion property of the zero of Kodaira-Spencer over $\mathbb{P}^1$ removing four points

Xiaojin Lin, Mao Sheng, Jianping Wang

Comments: 3rd version. Acknowledgement to the initial discovery of the torsion phenomenon due to Jingbang Yang and Kang Zuo as proved in the paper added

Subjects: Algebraic Geometry (math.AG)

[405] arXiv:2212.02041 [pdf, other]

Title: Convergence of an operator splitting scheme for fractional conservation laws with Levy noise

Soumya Ranjan Behera, Ananta K. Majee

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

[406] arXiv:2212.02043 [pdf, other]

Title: Generalized Varying Coefficient Mediation Models

Jingyuan Liu, Yujie Liao, Runze Li

Subjects: Statistics Theory (math.ST)

[407] arXiv:2212.02045 [pdf, other]

Title: Comparing list-color functions of uniform hypergraphs with their chromatic polynomials (III)

Fengming Dong, Meiqiao Zhang

Comments: This article is a sister paper of "Compare list-color functions of uniform hypergraphs with their chromatic polynomials (I)" at arXiv:2305.02497. The later is now completed in a new approach, and it covers the main result in the former

Subjects: Combinatorics (math.CO)

[408] arXiv:2212.02054 [pdf, html, other]

Title: Isotypic blocks are functorially equivalent

Deniz Yılmaz

Comments: There is a gap in the proof of Lemma 3.2

Subjects: Representation Theory (math.RT)

[409] arXiv:2212.02069 [pdf, other]

Title: Bi-orthogonal eigen-spinors related to T-pseudo-Hermitian Pauli Hamiltonian : Time reversal and Clifford Algebra

Arindam Chakraborty

Comments: 11 pages

Subjects: Mathematical Physics (math-ph)

[410] arXiv:2212.02079 [pdf, other]

Title: Restriction on minimum degree in the contractible sets problem

Nikolai Karol

Comments: 8 pages, 4 figures

Journal-ref: Zap. Nauchn. Sem. POMI, 518, 114-123, 2022

Subjects: Combinatorics (math.CO)

[411] arXiv:2212.02086 [pdf, other]

Title: $W^{1,p}$ approximation of the Moser--Trudinger inequality

Masato Hashizume, Norisuke Ioku

Comments: 12 pages

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

[412] arXiv:2212.02102 [pdf, other]

Title: Lipschitz regularity of controls and inversion mapping for a class of smooth extremization problems

Vincenzo Basco

Comments: 10 pages

Subjects: Optimization and Control (math.OC)

[413] arXiv:2212.02103 [pdf, html, other]

Title: A Study of Hypergraph Using Null Spaces of the Incidence Matrix and its Transpose

Samiron Parui

Comments: We observed that linearly dependent row and columns are the reason for the cluster of vertices with equal centrality. Thus, in this version we explore the substructures of a hypergraph, associated with linearly dependent collection of rows and column in the incidence matrix

Subjects: Combinatorics (math.CO)

[414] arXiv:2212.02106 [pdf, other]

Title: $U(\frak h)$-free modules over the Lie algebras of differential operators

Munayim Dilxat, Shoulan Gao, Dong Liu, Limeng Xia

Comments: Latex, 17 pages

Journal-ref: Published in Mathematics, 2022, 10(10), 1728

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

[415] arXiv:2212.02113 [pdf, other]

Title: Long-time existence of Gevrey-2 solutions to the 3D Prandtl boundary layer equations

Xinghong Pan, Chao-Jiang Xu

Subjects: Analysis of PDEs (math.AP)

[416] arXiv:2212.02115 [pdf, other]

Title: Generic multiplicative endomorphism of a field

Christian d'Elbée

Comments: 35 pages

Subjects: Logic (math.LO)

[417] arXiv:2212.02116 [pdf, other]

Title: Effective quasistatic evolution models for perfectly plastic plates with periodic microstructure

Marin Bužančić, Elisa Davoli, Igor Velčić

Comments: 46 pages

Subjects: Analysis of PDEs (math.AP)

[418] arXiv:2212.02118 [pdf, other]

Title: Recurrences for certain sequences of binomial sums in terms of (generalized) Fibonacci and Lucas polynomials

Johann Cigler

Comments: 15 pages

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

[419] arXiv:2212.02120 [pdf, other]

Title: On the equivalence of binary cubic forms

J E Cremona

Comments: 13 pages

Subjects: Number Theory (math.NT)

[420] arXiv:2212.02121 [pdf, other]

Title: 2-Ruled Hypersurfaces in a Walker 4-Manifold

Mohamed Ayatola Dramé, Ameth Ndiaye, Abdoul Salam Diallo

Comments: arXiv admin note: substantial text overlap with arXiv:2205.10808

Journal-ref: Facta Univ. Ser. Math. Inform. 39 (2024), no. 1, 67-86

Subjects: Differential Geometry (math.DG)

[421] arXiv:2212.02128 [pdf, other]

Title: Hodge structures through an \'etale motivic point of view

Ivan Rosas Soto

Subjects: Algebraic Geometry (math.AG)

[422] arXiv:2212.02137 [pdf, other]

Title: Delta Characters in Positive Characteristic and Galois Representations

Sudip Pandit, Arnab Saha

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

[423] arXiv:2212.02139 [pdf, other]

Title: State Estimation for Continuous-Discrete-Time Nonlinear Stochastic Systems

Marcus Krogh Nielsen, Tobias K. S. Ritschel, Ib Christensen, Jess Dragheim, Jakob Kjøbsted Huusom, Krist V. Gernaey, John Bagterp Jørgensen

Comments: 6 pages, 1 figure, 1 table, to be published in proceedings of FOCAPO/CPC 2023. arXiv admin note: substantial text overlap with arXiv:2205.02730

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

[424] arXiv:2212.02144 [pdf, other]

Title: Low-Resolution Horizontal and Vertical Layered Mutual Information Maximizing LDPC Decoding

Philipp Mohr, Gerhard Bauch

Comments: This paper has been presented at the Asilomar Conference 2022. The updated version involves improvements in section III d)

Subjects: Information Theory (cs.IT)

[425] arXiv:2212.02146 [pdf, other]

Title: The general solutions to some systems of Sylvester-type quaternion matrix equations with an application

Qing-Wen Wang, Long-Sheng Liu

Comments: 31

Subjects: Rings and Algebras (math.RA)

[426] arXiv:2212.02149 [pdf, other]

Title: Central limit theorem for a spatial stochastic epidemic model with mean field interaction

Maxime Hauray, Etienne Pardoux, Yen V. Vuong

Subjects: Probability (math.PR)

[427] arXiv:2212.02150 [pdf, other]

Title: Poisson hulls

Günter Last, Ilya Molchanov

Comments: 42 pages

Subjects: Probability (math.PR); Statistics Theory (math.ST)

[428] arXiv:2212.02151 [pdf, other]

Title: Quartic surfaces up to volume preserving equivalence

Tom Ducat

Comments: 21 pages

Subjects: Algebraic Geometry (math.AG)

[429] arXiv:2212.02153 [pdf, other]

Title: Regularity estimates for diffusion semigroups on weighted Sobolev spaces

Maxime Hauray, Yen V. Vuong

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

[430] arXiv:2212.02154 [pdf, html, other]

Title: Exchangeable coalescents beyond the Cannings class

Arno Siri-Jégousse (1), Alejandro H. Wences (2) ((1) IIMAS - UNAM, (2) LAAS-CNRS)

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

[431] arXiv:2212.02160 [pdf, other]

Title: Compactness property of the linearized Boltzmann collision operator for a multicomponent polyatomic gas

Niclas Bernhoff

Comments: 32 pages, 3 figures. arXiv admin note: substantial text overlap with arXiv:2201.01365, arXiv:2201.01377

Journal-ref: J. Math. Anal. Appl. 537, 128265 (2024)

Subjects: Analysis of PDEs (math.AP)

[432] arXiv:2212.02169 [pdf, other]

Title: The Uncountable Hadwiger Conjecture and Characterizations of Trees Using Graphs

Dávid Uhrik

Subjects: Logic (math.LO); Combinatorics (math.CO)

[433] arXiv:2212.02172 [pdf, other]

Title: Boundedness and compactness of weighted composition operators and monomial operators

I. Chalendar, J.R. Partington

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

[434] arXiv:2212.02173 [pdf, other]

Title: The Morley-type virtual element method for the Navier-Stokes equations in stream-function form on general meshes

D. Adak, D. Mora, A. Silgado

Comments: 31 pages, 9 figures

Subjects: Numerical Analysis (math.NA)

[435] arXiv:2212.02176 [pdf, other]

Title: Ergodicity of some probabilistic cellular automata with two letters alphabet via random walks

Jérôme Casse

Comments: 18 pages, 5 figures

Subjects: Probability (math.PR)

[436] arXiv:2212.02187 [pdf, other]

Title: B-Spline Quarklets and Biorthogonal Multiwavelets

Marc Hovemann, Anne Kopsch, Thorsten Raasch, Dorian Vogel

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

[437] arXiv:2212.02195 [pdf, other]

Title: Stability of Cnoidal Waves for the Damped Nonlinear Schr\"odinger Equation

Paolo Antonelli, Boris Shakarov

Comments: 34 pages, comments are welcome. v2: minor modifications to fix the final part of the main proof

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Pattern Formation and Solitons (nlin.PS)

[438] arXiv:2212.02206 [pdf, other]

Title: Classification and Decomposition of Quaternionic Projective Transformations

Sandipan Dutta, Krishnendu Gongopadhyay, Tejbir Lohan

Comments: Final version, 20 pages

Journal-ref: Linear Algebra and its Applications (2023)

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

[439] arXiv:2212.02207 [pdf, other]

Title: Mapping tori of $A_{\infty}$-autoequivalences and Legendrian lifts of exact Lagrangians in circular contactizations

Adrian Petr

Comments: 71 pages, 4 figures

Subjects: Symplectic Geometry (math.SG)

[440] arXiv:2212.02210 [pdf, other]

Title: Modelling and Economic Optimal Control for a Laboratory-scale Continuous Stirred Tank Reactor for Single-cell Protein Production

Marcus Krogh Nielsen, Jens Dynesen, Jess Dragheim, Ib Christensen, Sten Bay Jørgensen, Jakob Kjøbsted Huusom, Krist V. Gernaey, John Bagterp Jørgensen

Comments: 6 pages, 4 figures, 1 table, submitted to be presented at a conference

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY); Cell Behavior (q-bio.CB)

[441] arXiv:2212.02214 [pdf, other]

Title: Asymptotic analysis on charging dynamics for stack-electrode model of supercapacitors

Lijie Ji, Zhenli Xu, Shenggao Zhou

Comments: 26 pages, 6 figures

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

[442] arXiv:2212.02217 [pdf, other]

Title: The $\mathcal{X}$-series of a $p$-group and complements of abelian subgroups

Stefanos Aivazidis, Maria Loukaki

Journal-ref: Results in Mathematics 78, 161 (2023)

Subjects: Group Theory (math.GR)

[443] arXiv:2212.02232 [pdf, other]

Title: Nucleation and development of multiple cracks in thin composite fibers

Arnav Gupta, Timothy J. Healey

Subjects: Numerical Analysis (math.NA)

[444] arXiv:2212.02237 [pdf, other]

Title: Extensions and restrictions of holomorphic foliations

Mateus Gomes Figueira

Subjects: Algebraic Geometry (math.AG)

[445] arXiv:2212.02238 [pdf, other]

Title: Remarks on finite and infinite time-horizon optimal control problems

Sérgio S. Rodrigues

Comments: 6 figures, 18 subfigures

Subjects: Optimization and Control (math.OC)

[446] arXiv:2212.02240 [pdf, other]

Title: Simple closed geodesics on regular tetrahedra in spaces of constant curvature

Darya Sukhorebska

Comments: 41 pages, 23 figures. arXiv admin note: substantial text overlap with arXiv:2101.07059

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

[447] arXiv:2212.02243 [pdf, other]

Title: Remarks on anti-quasi-Sasakian manifolds

Piotr Dacko

Subjects: Differential Geometry (math.DG)

[448] arXiv:2212.02247 [pdf, other]

Title: Extremal trees with respect to spectral radius of restrictedly weighted adjacency matrices

Ruiling Zheng, Xiaxia Guan, Xian an Jin

Subjects: Combinatorics (math.CO)

[449] arXiv:2212.02249 [pdf, html, other]

Title: The symbol length for elementary type pro-$p$ groups and Massey products

Ido Efrat

Subjects: Number Theory (math.NT)

[450] arXiv:2212.02252 [pdf, other]

Title: Characterizing Riesz Bases via Biorthogonal Riesz-Fischer sequences

Elias Zikkos

Subjects: Functional Analysis (math.FA)