Mathematics

Authors and titles for January 2022

[1601] arXiv:2201.07081 [pdf, other]

Title: On the Maximal Subgroups of $E_7(q)$ and Related Almost Simple Groups

David A. Craven

Comments: 50 pages

Subjects: Group Theory (math.GR)

[1602] arXiv:2201.07084 [pdf, html, other]

Title: Skew characteristic polynomial of graphs and embedded graphs

R. Dogra, S. Lando

Journal-ref: Communications in Mathematics, Volume 31 (2023), Issue 3 (Special issue: in memory of Sergei Duzhin) (December 30, 2023) cm:11310

Subjects: Combinatorics (math.CO)

[1603] arXiv:2201.07086 [pdf, other]

Title: $L^\alpha$-Regularization of the Beckmann Problem

Dirk Lorenz, Hinrich Mahler, Christian Meyer

Subjects: Optimization and Control (math.OC)

[1604] arXiv:2201.07088 [pdf, other]

Title: Principal bundles and connections modelled by Lie group bundles

Marco Castrillón López, Álvaro Rodríguez Abella

Comments: 28 pages, 0 figures

Subjects: Differential Geometry (math.DG)

[1605] arXiv:2201.07094 [pdf, other]

Title: Fractional derivatives and time-fractional ordinary differential equations in $L^p$-space

Masahiro Yamamoto

Subjects: Analysis of PDEs (math.AP)

[1606] arXiv:2201.07097 [pdf, other]

Title: Gaussian fluctuations of replica overlap in directed polymers

Yu Gu, Tomasz Komorowski

Comments: 14 pages, v2 minor revisions

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

[1607] arXiv:2201.07098 [pdf, html, other]

Title: Compatibility and accessibility: lattice representations for semantics of non-classical and modal logics

Wesley H. Holliday

Comments: Clarified in Proposition 3.15(i) that $φ$ is a lattice embedding and fixed typo in Proposition 2.15 swapping 0 and 1

Journal-ref: Advances in Modal Logic, Vol. 14, eds. D. Fernandez-Duque, A. Palmigiano, and S. Pinchinat, College Publications, 2022, 507-529

Subjects: Logic (math.LO); Logic in Computer Science (cs.LO)

[1608] arXiv:2201.07108 [pdf, other]

Title: Some Hermite-Hadamard inequalities for strongly harmonic convex set-valued functions

Gabriel Santana, Maira Valera

Subjects: Functional Analysis (math.FA)

[1609] arXiv:2201.07113 [pdf, other]

Title: Three Weight Ternary Linear Codes from Non-Weakly Regular Bent Functions

Rumi Melih Pelen

Comments: 22 pages

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

[1610] arXiv:2201.07117 [pdf, other]

Title: Small graphs and hypergraphs of given degree and girth

Grahame Erskine, James Tuite

Comments: 8 pages

Subjects: Combinatorics (math.CO)

[1611] arXiv:2201.07127 [pdf, html, other]

Title: Concatenations of Terms of an Arithmetic Progression

Florian Luca, Bertrand Teguia Tabuguia

Comments: Substantial revision of the previous version. 15 pages, 27 references

Subjects: Combinatorics (math.CO); Symbolic Computation (cs.SC)

[1612] arXiv:2201.07128 [pdf, other]

Title: Global solvabilty for nonlinear wave equations with singular potential

Vladimir Georgiev, Hideo Kubo

Comments: 22 pages, 2 figures

Subjects: Analysis of PDEs (math.AP)

[1613] arXiv:2201.07133 [pdf, other]

Title: Magnetic slowdown of topological edge states

Guillaume Bal, Simon Becker, Alexis Drouot

Subjects: Mathematical Physics (math-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Analysis of PDEs (math.AP); Quantum Physics (quant-ph)

[1614] arXiv:2201.07138 [pdf, other]

Title: A Note about Weyl Equidistribution Theorem

Yuval Yifrach

Subjects: Number Theory (math.NT)

[1615] arXiv:2201.07142 [pdf, other]

Title: Mean arc theorem for exploring domains with randomly distributed arbitrary closed trajectories

Samuel Hidalgo-Caballero, Alvaro Cassinelli, Matthieu Labousse, Emmanuel Fort

Comments: 14 pages, 5 figures

Subjects: Mathematical Physics (math-ph); Data Analysis, Statistics and Probability (physics.data-an)

[1616] arXiv:2201.07144 [pdf, other]

Title: The Trace of the affine Hecke category

Eugene Gorsky, Andrei Neguţ

Subjects: Geometric Topology (math.GT); Algebraic Geometry (math.AG); Representation Theory (math.RT)

[1617] arXiv:2201.07148 [pdf, other]

Title: Multipliers and Covers of Perfect Diassociative Algebras

Erik Mainellis

Comments: 9 pages

Subjects: Rings and Algebras (math.RA)

[1618] arXiv:2201.07150 [pdf, other]

Title: Gaining or Losing Perspective for Convex Multivariate Functions on a Simplex

Luze Xu, Jon Lee

Subjects: Optimization and Control (math.OC)

[1619] arXiv:2201.07153 [pdf, other]

Title: Braid groups and symplectic Steinberg groups

François Digne, Christian Kassel

Comments: 21 pages. The statement and proof of Theorem 5.7 have been corrected in Version 2. Sections 5.4 and 6 were added in Version 3. Remark 5.9 added in Version 4. In Version 5: slight changes in introduction, Section 4 and acknowledgement; two references added

Journal-ref: Ann. K-Th. 8 (2023) 669-692

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

[1620] arXiv:2201.07155 [pdf, html, other]

Title: Curved operadic calculus

Victor Roca i Lucio

Comments: 73 pages. Minor changes. To appear in Bulletin de la SMF

Subjects: Algebraic Topology (math.AT); Category Theory (math.CT)

[1621] arXiv:2201.07160 [pdf, other]

Title: Punctured groups for exotic fusion systems

Ellen Henke, Assaf Libman, Justin Lynd

Comments: v1: 66 pages, v2: 74 pages, various modifications and corrections in response to anonymous referee report

Subjects: Group Theory (math.GR); Algebraic Topology (math.AT)

[1622] arXiv:2201.07169 [pdf, other]

Title: On the linearized system of equations for the condensate-normal fluid interaction near the critical temperature

Miguel Escobedo

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[1623] arXiv:2201.07176 [pdf, other]

Title: Almost Complex Structures on Homotopy Complex Projective Spaces

Keith Mills

Comments: 17 pages. Corrected error in previous version

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

[1624] arXiv:2201.07178 [pdf, other]

Title: Kawamata boundedness for Fano threefolds and the Graded Ring Database

Gavin Brown, Alexander Kasprzyk

Comments: 23 pages, 7 figures

Subjects: Algebraic Geometry (math.AG)

[1625] arXiv:2201.07193 [pdf, other]

Title: Rank-Metric Codes, Semifields, and the Average Critical Problem

Anina Gruica, Alberto Ravagnani, John Sheekey, Ferdinando Zullo

Subjects: Combinatorics (math.CO); Information Theory (cs.IT); Rings and Algebras (math.RA)

[1626] arXiv:2201.07195 [pdf, other]

Title: The inviscid limit of Navier-Stokes equations for locally near boundary analytic data on an exterior circular domain

Toan T. Nguyen, Trinh T. Nguyen

Comments: 38 pages

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph)

[1627] arXiv:2201.07196 [pdf, other]

Title: Reduced rank in $\sigma[M]$

John A. Beachy, Mauricio Medina-Bárcenas

Comments: 17 pages

Subjects: Rings and Algebras (math.RA)

[1628] arXiv:2201.07217 [pdf, other]

Title: Conditional $h$-convexity with applications

Ismail Nikoufar, Davuod Saeedi

Comments: arXiv admin note: substantial text overlap with arXiv:2201.05862

Subjects: Functional Analysis (math.FA)

[1629] arXiv:2201.07222 [pdf, other]

Title: Avoidance of the Lavrentiev gap for one-dimensional non autonomous functionals with state constraints

Carlo Mariconda

Comments: arXiv admin note: text overlap with arXiv:2201.06155

Subjects: Optimization and Control (math.OC)

[1630] arXiv:2201.07228 [pdf, other]

Title: n-Best Kernel Approximation in Reproducing Kernel Hilbert Spaces

Tao Qian

Subjects: Complex Variables (math.CV)

[1631] arXiv:2201.07230 [pdf, other]

Title: On the algebraic structures in $\A_\Phi(G)$

Ibrahim Akbarbaglu, Hasan P. Aghababa, Hamid Rahkooy

Subjects: Functional Analysis (math.FA); Operator Algebras (math.OA)

[1632] arXiv:2201.07269 [pdf, other]

Title: Spin generalizations of the Benjamin-Ono equation

Bjorn K. Berntson, Edwin Langmann, Jonatan Lenells

Comments: 34 pages

Journal-ref: Lett Math Phys 112, 50 (2022)

Subjects: Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

[1633] arXiv:2201.07270 [pdf, other]

Title: Random walk on nonnegative integers in beta distributed random environment

Guillaume Barraquand, Mark Rychnovsky

Comments: 44 pages. v3: minor edits

Subjects: Probability (math.PR); Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph)

[1634] arXiv:2201.07276 [pdf, other]

Title: Large deviation principle for geometric and topological functionals and associated point processes

Christian Hirsch, Takashi Owada

Subjects: Probability (math.PR)

[1635] arXiv:2201.07278 [pdf, other]

Title: Functons of perturbed pairs of dissipative operators

Aleksei Aleksandrov, Vladimir Peller

Comments: 18 pages. arXiv admin note: substantial text overlap with arXiv:2109.02339

Subjects: Functional Analysis (math.FA); Classical Analysis and ODEs (math.CA); Complex Variables (math.CV); Spectral Theory (math.SP)

[1636] arXiv:2201.07287 [pdf, other]

Title: Polar Coded Merkle Tree: Improved Detection of Data Availability Attacks in Blockchain Systems

Debarnab Mitra, Lev Tauz, Lara Dolecek

Comments: 9 pages, 4 figures, 2 tables, To appear in IEEE International Symposium on Information Theory (ISIT) 2022

Subjects: Information Theory (cs.IT); Cryptography and Security (cs.CR)

[1637] arXiv:2201.07292 [pdf, other]

Title: The Pseudo-Lindley Alpha Power transformed distribution, mathematical characterizations and asymptotic properties

Modou Ngom, Moumouni Diallo, Adja Mbarka Fall, Gane Samb Lo

Subjects: Statistics Theory (math.ST)

[1638] arXiv:2201.07295 [pdf, other]

Title: A detailed look at the Calabi-Eguchi-Hanson spaces

Jørgen Olsen Lye

Comments: 22 pages. The second version includes the following changes: Added a short result about the holomorphic volume form (Prop. 8), amended an important gap in the proof of Thm. 9, added a description of local coordinates on the canonical line bundle and described the metric in these coordinates (Eq. 22)

Subjects: Differential Geometry (math.DG)

[1639] arXiv:2201.07296 [pdf, other]

Title: Convergence of Policy Gradient for Entropy Regularized MDPs with Neural Network Approximation in the Mean-Field Regime

Bekzhan Kerimkulov, James-Michael Leahy, David Šiška, Lukasz Szpruch

Subjects: Optimization and Control (math.OC); Artificial Intelligence (cs.AI); Machine Learning (cs.LG); Probability (math.PR); Machine Learning (stat.ML)

[1640] arXiv:2201.07299 [pdf, other]

Title: Knot Floer homology and surgery on equivariant knots

Abhishek Mallick

Comments: 57 pages, 33 figures

Subjects: Geometric Topology (math.GT)

[1641] arXiv:2201.07307 [pdf, other]

Title: Visualizing fluid flows via regularized optimal mass transport with applications to neuroscience

Xinan Chen, Anh Phong Tran, Rena Elkin, Helene Benveniste, Allen R. Tannenbaum

Subjects: Numerical Analysis (math.NA)

[1642] arXiv:2201.07325 [pdf, other]

Title: FMM-LU: A fast direct solver for multiscale boundary integral equations in three dimensions

Daria Sushnikova, Leslie Greengard, Michael O'Neil, Manas Rachh

Subjects: Numerical Analysis (math.NA); Computational Physics (physics.comp-ph)

[1643] arXiv:2201.07326 [pdf, other]

Title: Automated Counting and Statistical Analysis of Labeled Trees with Degree Restrictions

Shalosh B. Ekhad, Doron Zeilberger

Comments: 5 pages. Exclusively published in the Personal Journal of Shalosh B. Ekhad and Doron Zeilberger and this arxiv. Accompanied by a Maple package, and extensive output files available from this https URL . This version adds references to previous work of A. Meir and J. W. Moon

Subjects: Combinatorics (math.CO); Probability (math.PR)

[1644] arXiv:2201.07327 [pdf, other]

Title: Hermite-based, One-step, Variational and Galerkin Time Integrators for Mechanical Systems

Harsh Sharma, Mayuresh Patil, Craig Woolsey

Subjects: Numerical Analysis (math.NA); Dynamical Systems (math.DS)

[1645] arXiv:2201.07329 [pdf, other]

Title: On the minimax rate of the Gaussian sequence model under bounded convex constraints

Matey Neykov

Comments: 34 pages; 1 picture; v5: fixed an error in example section 3.3.2

Subjects: Statistics Theory (math.ST)

[1646] arXiv:2201.07333 [pdf, other]

Title: The Newton polytope and Lorentzian property of chromatic symmetric functions

Jacob P. Matherne, Alejandro H. Morales, Jesse Selover

Comments: 27 pages, 10 figures. v3: Updated references, updated figures to improve readability. Added footnote with update on proofs of Conj. 7.1. Revised definition of part listing representative in Theorem 5.3

Subjects: Combinatorics (math.CO)

[1647] arXiv:2201.07335 [pdf, other]

Title: Local Lagrangian reduced-order modeling for Rayleigh-Taylor instability by solution manifold decomposition

Siu Wun Cheung, Youngsoo Choi, Dylan Matthew Copeland, Kevin Huynh

Comments: arXiv admin note: substantial text overlap with arXiv:2104.11404

Subjects: Numerical Analysis (math.NA)

[1648] arXiv:2201.07336 [pdf, other]

Title: Two applications of Grunsky coefficients in the theory of univalent functions

Milutin Obradović, Nikola Tuneski

Comments: arXiv admin note: substantial text overlap with arXiv:2009.11945

Subjects: Complex Variables (math.CV)

[1649] arXiv:2201.07343 [pdf, other]

Title: Classification of left-invariant Einstein metrics on $\mathrm{SL}(2,\mathbb{R})\times\mathrm{SL}(2,\mathbb{R})$ that are bi-invariant under a one-parameter subgroup

Vicente Cortés, Jeremias Ehlert, Alexander S. Haupt, David Lindemann

Comments: 14 pages

Subjects: Differential Geometry (math.DG); High Energy Physics - Theory (hep-th); Mathematical Physics (math-ph)

[1650] arXiv:2201.07345 [pdf, other]

Title: A note on the series' of ordinal numbers

Marco Trombetti

Subjects: Logic (math.LO)