Mathematics

Authors and titles for August 2022

[1] arXiv:2208.00004 [pdf, other]

Title: The Domination Number of $C_n\square P_m$ for $n\equiv 2\pmod{5}$

David R. Guichard

Comments: arXiv admin note: text overlap with arXiv:2207.14414

Subjects: Combinatorics (math.CO)

[2] arXiv:2208.00006 [pdf, other]

Title: De Finetti's control problem with a concave bound on the control rate

Félix Locas, Jean-François Renaud

Comments: 15 pages

Subjects: Optimization and Control (math.OC); Probability (math.PR)

[3] arXiv:2208.00017 [pdf, other]

Title: Computing heights via limits of Hodge structures

Spencer Bloch, Robin de Jong, Emre Can Sertöz

Comments: 17 pages. Meant as a follow-up to our previous paper (arXiv:2206.01220), we recall some results from there. New version incorporates referee comments. Final version

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

[4] arXiv:2208.00026 [pdf, other]

Title: Canonical almost-K\"ahler metrics dual to general plane-fronted wave Lorentzian metrics

Mehdi Lejmi, Xi Sisi Shen

Comments: 12 pages

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

[5] arXiv:2208.00028 [pdf, other]

Title: Landau-Ginzburg potentials via projective representations

Daniel Labardini-Fragoso, Bea Schumann

Comments: v2 27 pages, some editorial changes

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

[6] arXiv:2208.00035 [pdf, other]

Title: Box-counting dimension and differentiability of box-like statistically self-affine functions

Pieter Allaart, Taylor Jones

Comments: 25 pages, 4 figures

Journal-ref: J. Math. Anal. Appl. 521 (2022), no. 2, Article 126909

Subjects: Classical Analysis and ODEs (math.CA); Probability (math.PR)

[7] arXiv:2208.00038 [pdf, other]

Title: Connected Reduced Products

Miloš S. Kurilić

Subjects: Logic (math.LO)

[8] arXiv:2208.00041 [pdf, other]

Title: Relaxed Wythoff has All Beatty Solutions

Jon Kay, Geremias Polanco

Comments: 24 pages, 2 figures

Subjects: Combinatorics (math.CO)

[9] arXiv:2208.00051 [pdf, html, other]

Title: Diagonal F-splitting and Symbolic Powers of Ideals

Daniel Smolkin

Comments: Copy edited and formatted in the EpiGA journal's stylesheet

Journal-ref: Épijournal de Géométrie Algébrique, Volume 8 (January 22, 2024) epiga:9918

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

[10] arXiv:2208.00055 [pdf, other]

Title: Periodic approximations in inverse spectral problems for canonical Hamiltonian systems

Alexei Poltoratski, Ashley Ran Zhang

Subjects: Spectral Theory (math.SP)

[11] arXiv:2208.00057 [pdf, other]

Title: Compact representations of structured BFGS matrices

Johannes J. Brust, Zichao (Wendy)Di, Sven Leyffer, Cosmin G. Petra

Journal-ref: Computational Optimization and Applications 80:55-88 (2021)

Subjects: Optimization and Control (math.OC); Mathematical Software (cs.MS); Econometrics (econ.EM); Numerical Analysis (math.NA); Computation (stat.CO)

[12] arXiv:2208.00058 [pdf, html, other]

Title: Magnetic skyrmions under confinement

Antonin Monteil, Cyrill B. Muratov, Theresa M. Simon, Valeriy V. Slastikov

Journal-ref: Commun. Math. Phys. 404, 1571-1605 (2023)

Subjects: Analysis of PDEs (math.AP); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Mathematical Physics (math-ph); Pattern Formation and Solitons (nlin.PS)

[13] arXiv:2208.00065 [pdf, other]

Title: An Actor Critic Method for Free Terminal Time Optimal Control

Evan Burton, Tenavi Nakamura-Zimmerer, Qi Gong, Wei Kang

Subjects: Optimization and Control (math.OC)

[14] arXiv:2208.00072 [pdf, other]

Title: Categorically closed unipotent semigroups

Taras Banakh, Myroslava Vovk

Comments: 7 pages. arXiv admin note: text overlap with arXiv:2207.12778

Subjects: General Topology (math.GN); Group Theory (math.GR)

[15] arXiv:2208.00073 [pdf, other]

Title: Geometric model for module categories of Dynkin quivers via hearts of total stability conditions

Wen Chang, Yu Qiu, Xiaoting Zhang

Comments: 28 pages with many figures

Subjects: Representation Theory (math.RT); Combinatorics (math.CO); Category Theory (math.CT)

[16] arXiv:2208.00074 [pdf, other]

Title: Injectively and absolutely $T_1S$-closed semigroups

Taras Banakh

Comments: 18 pages. arXiv admin note: text overlap with arXiv:2207.12778

Subjects: General Topology (math.GN); Group Theory (math.GR)

[17] arXiv:2208.00082 [pdf, other]

Title: On the improvement of H\"older seminorms in superquadratic Hamilton-Jacobi equations

Marco Cirant

Subjects: Analysis of PDEs (math.AP)

[18] arXiv:2208.00084 [pdf, other]

Title: Poisson cohomology of singular fibrations in dimension 4

N. Bárcenas, J. Torres Orozco

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

[19] arXiv:2208.00086 [pdf, other]

Title: URLLC with Coded Massive MIMO via Random Linear Codes and GRAND

Sahar Allahkaram, Francisco A. Monteiro, Ioannis Chatzigeorgiou

Journal-ref: Proc. of IEEE 96th Vehicular Technology Conference (VTC2022-Fall), London, United Kingdom, Sep. 2022

Subjects: Information Theory (cs.IT)

[20] arXiv:2208.00103 [pdf, other]

Title: Beyond mean field: condensate coupled with pair excitations

Stephen Sorokanich

Comments: Preprint

Subjects: Mathematical Physics (math-ph)

[21] arXiv:2208.00105 [pdf, other]

Title: Bias Formulas for Violations of Proximal Identification Assumptions

Raluca Cobzaru, Roy Welsch, Stan Finkelstein, Kenney Ng, Zach Shahn

Comments: typos and references corrected; revised DGP in section 5 for minor bias formula improvement (results and conclusions unchanged)

Subjects: Statistics Theory (math.ST)

[22] arXiv:2208.00117 [pdf, html, other]

Title: Two-Point Concentration of the Independence Number of the Random Graph

Tom Bohman, Jakob Hofstad

Subjects: Combinatorics (math.CO)

[23] arXiv:2208.00121 [pdf, other]

Title: Rational Noncrossing Coxeter-Catalan Combinatorics

Pavel Galashin, Thomas Lam, Minh-Tâm Quang Trinh, Nathan Williams

Comments: 42 pages

Subjects: Combinatorics (math.CO); Representation Theory (math.RT)

[24] arXiv:2208.00123 [pdf, other]

Title: The ropelength conjecture of alternating knots

Yuanan Diao

Comments: 4 pages, 1 figure

Subjects: Geometric Topology (math.GT)

[25] arXiv:2208.00126 [pdf, other]

Title: Rigidity of $\mathbf{\textit{U}}$-Gibbs measures near conservative Anosov diffeomorphisms on $\mathbb{T}^3$

Sébastien Alvarez, Martin Leguil, Davi Obata, Bruno Santiago

Comments: Revised version. New definition of leaf wise quotient measures and new results on change of normal form coordinates

Subjects: Dynamical Systems (math.DS)

[26] arXiv:2208.00130 [pdf, other]

Title: On weak laws of large numbers for maximal partial sums of pairwise independent random variables

Lê Vǎn Thành

Comments: 10 pages, To appear in Comptes Rendus Mathematique

Subjects: Probability (math.PR)

[27] arXiv:2208.00140 [pdf, html, other]

Title: Line bundles on the moduli space of Lie algebroid connections over a curve

Indranil Biswas, Anoop Singh

Comments: 26 pages

Subjects: Algebraic Geometry (math.AG)

[28] arXiv:2208.00143 [pdf, other]

Title: Cross-connections in Clifford semigroups

P.A. Azeef Muhammed, C.S. Preenu

Subjects: Group Theory (math.GR); Category Theory (math.CT)

[29] arXiv:2208.00144 [pdf, other]

Title: Some properties that are preserved by transferring boundary functors

Lucas H. R. de Souza

Comments: 26 pages

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

[30] arXiv:2208.00148 [pdf, other]

Title: Solution of the Neutral Kimura equation with two integral constraints

Fabio A. C. C. Chalub

Comments: 6 pages

Subjects: Analysis of PDEs (math.AP); Populations and Evolution (q-bio.PE)

[31] arXiv:2208.00149 [pdf, other]

Title: Vector Valued Switching in Signed Graphs

Shahul Hameed K, Albin Mathew, Germina K A, Thomas Zaslavsky

Comments: 15 pp., 5 figs. V2 12 pp., 4 figs., more data, slightly shorter. V3 typos fixed

Subjects: Combinatorics (math.CO)

[32] arXiv:2208.00168 [pdf, other]

Title: Topological cyclic homology and the Fargues-Fontaine curve

Lars Hesselholt

Comments: 14 pages

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

[33] arXiv:2208.00182 [pdf, other]

Title: Max-Min Data Rate Optimization for RIS-aided Uplink Communications with Green Constraints

Athira Subhash, Abla Kammoun, Ahmed Elzanaty, Sheetal Kalyani, Yazan H. Al-Badarneh, Mohamed-Slim Alouini

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

[34] arXiv:2208.00186 [pdf, other]

Title: Long time well-posedness of compressible magnetohydrodynamics boundary layer equations in Sobolev space

Shengxin Li, Feng Xie

Comments: 30 pages

Subjects: Analysis of PDEs (math.AP)

[35] arXiv:2208.00189 [pdf, other]

Title: Improved homogenization estimates for high order elliptic systems

Svetlana Pastukhova

Comments: 16 pages

Subjects: Analysis of PDEs (math.AP)

[36] arXiv:2208.00191 [pdf, other]

Title: PUSH: a primal heuristic based on Feasibility PUmp and SHifting

Giorgio Grani, Corrado Coppola, Valerio Agasucci

Subjects: Optimization and Control (math.OC); Artificial Intelligence (cs.AI)

[37] arXiv:2208.00193 [pdf, html, other]

Title: Fine properties of monotone maps arising in optimal transport for non-quadratic costs

Cristian E. Gutierrez, Annamaria Montanari

Comments: 17 pages

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

[38] arXiv:2208.00195 [pdf, other]

Title: Approaching the isoperimetric problem in $H^m_{\mathbb{C}}$ via the hyperbolic log-convex density conjecture

Lauro Silini

Comments: 17 pages, 5 figures. Added references. Generalized Definition 1.2 to the octonionic case, and simplified the argument in Section 4

Subjects: Differential Geometry (math.DG); Classical Analysis and ODEs (math.CA)

[39] arXiv:2208.00199 [pdf, other]

Title: Weak Edgeworth expansion for the mean-field interacting Bose gas

Lea Boßmann, Sören Petrat

Comments: 31 pages. v3: this version is to appear in Letters in Mathematical Physics

Subjects: Mathematical Physics (math-ph)

[40] arXiv:2208.00202 [pdf, other]

Title: Solving the vehicle routing problem with deep reinforcement learning

Simone Foa, Corrado Coppola, Giorgio Grani, Laura Palagi

Comments: This version is really preliminary and the possibility of errors and typos is high

Subjects: Optimization and Control (math.OC); Artificial Intelligence (cs.AI)

[41] arXiv:2208.00208 [pdf, other]

Title: DRSOM: A Dimension Reduced Second-Order Method

Chuwen Zhang, Dongdong Ge, Chang He, Bo Jiang, Yuntian Jiang, Yinyu Ye

Comments: Considerable changes in the main text

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

[42] arXiv:2208.00209 [pdf, other]

Title: The uniform Kruskal theorem: between finite combinatorics and strong set existence

Anton Freund, Patrick Uftring

Subjects: Logic (math.LO)

[43] arXiv:2208.00215 [pdf, other]

Title: On the convergence of multiple ergodic means

Grigori A. Karagulyan, Michael T. Lacey, Vahan A. Martirosyan

Comments: 15 pages

Journal-ref: New York J. Math. 28 (2022) 1448-1462

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

[44] arXiv:2208.00217 [pdf, html, other]

Title: Birational involutions of the real projective plane

Ivan Cheltsov, Frédéric Mangolte, Egor Yasinsky, Susanna Zimmermann

Comments: Minor corrections following referees' comments. To appear in J. Eur. Math. Soc. (JEMS)

Subjects: Algebraic Geometry (math.AG)

[45] arXiv:2208.00218 [pdf, other]

Title: Joint Precoding and Phase Shift Design in Reconfigurable Intelligent Surfaces-Assisted Secret Key Generation

Tianyu Lu, Liquan Chen, Junqing Zhang, Chen Chen, Aiqun Hu

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

[46] arXiv:2208.00224 [pdf, other]

Title: A dual skew symmetry for transient reflected Brownian motion in an orthant

Sandro Franceschi, Kilian Raschel

Comments: 14 pages

Journal-ref: Queueing Systems (2022)

Subjects: Probability (math.PR)

[47] arXiv:2208.00228 [pdf, other]

Title: Sharp and strong non-uniqueness for the magneto-hydrodynamic equations

Yao Nie, Weikui Ye

Subjects: Analysis of PDEs (math.AP)

[48] arXiv:2208.00229 [pdf, other]

Title: Reduction of Lagrangian Equations of Motion of Modified Newtonian Theory of Gravity with respect to the Similarity Group

Sahand Tokasi

Comments: The previous long version has been split into two separate parts for publication. We focus here on more mathematical parts and leave the more physical parts for another submission

Subjects: Mathematical Physics (math-ph); Classical Physics (physics.class-ph)

[49] arXiv:2208.00236 [pdf, other]

Title: The existence and convergence of solutions for the nonlinear Choquard equations on groups of polynomial growth

Ruowei Li, Lidan Wang

Comments: 22 pages

Subjects: Analysis of PDEs (math.AP)

[50] arXiv:2208.00239 [pdf, html, other]

Title: The Schwarzian octahedron recurrence (dSKP equation) I: explicit solutions

Niklas Christoph Affolter, Béatrice de Tilière, Paul Melotti

Comments: 50 pages, 25 figures

Subjects: Combinatorics (math.CO); Exactly Solvable and Integrable Systems (nlin.SI)