Mathematics

Authors and titles for August 2022

[801] arXiv:2208.03768 [pdf, other]

Title: Entropy of Quantum Markov states on Cayley trees

Farrukh Mukhamedov, Abdessatar Souissi

Comments: 14 pages, JSTAT accepted

Subjects: Mathematical Physics (math-ph); Functional Analysis (math.FA); Operator Algebras (math.OA)

[802] arXiv:2208.03770 [pdf, other]

Title: Open Quantum Random Walks and Quantum Markov chains on Trees I: Phase transitions

Farrukh Mukhamedov, Abdessatar Souissi, Tarek Hamdi

Comments: 17 pages, Open Systems & Information Dynamics (accepted)

Subjects: Mathematical Physics (math-ph); Functional Analysis (math.FA); Operator Algebras (math.OA); Quantum Physics (quant-ph)

[803] arXiv:2208.03774 [pdf, other]

Title: Differential Equations of Quantum Mechanics

Israel Michael Sigal

Journal-ref: Quart. Apple. Math. 80 (2022) 451-480

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

[804] arXiv:2208.03783 [pdf, other]

Title: Central Extensions of Restricted Affine Nilpotent Lie Algebras $n_+(A^{(1)}_1)(p)$

Tyler J. Evans, Alice Fialowski

Comments: 20 pages, 9 page appendix

Subjects: Representation Theory (math.RT)

[805] arXiv:2208.03787 [pdf, other]

Title: Centralisers of finite groups in locally finite simple groups

David J. Benson

Comments: 10 pages

Subjects: Group Theory (math.GR); Representation Theory (math.RT)

[806] arXiv:2208.03788 [pdf, other]

Title: On a conjecture of McNeil

Sela Fried

Comments: 4 pages

Subjects: Combinatorics (math.CO)

[807] arXiv:2208.03794 [pdf, other]

Title: The exterior Dirichlet Problem for homogeneous complex $k$-Hessian equation

Zhenghuan Gao, Xi-Nan Ma, Dekai Zhang

Comments: arXiv admin note: text overlap with arXiv:2207.13504

Journal-ref: Adv. Nonlinear Stud. 23 (2023), no. 1

Subjects: Analysis of PDEs (math.AP)

[808] arXiv:2208.03798 [pdf, other]

Title: Codebook Based Two-Time Scale Resource Allocation Design for IRS-Assisted eMBB-URLLC Systems

Walid R. Ghanem, Vahid Jamali, Malte Schellmann, Hanwen Cao, Joseph Eichinger, Robert Schober

Comments: 6 pages, 3 figures, 1 Table, and submitted for an IEEE conference publication

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

[809] arXiv:2208.03800 [pdf, other]

Title: Multimetric Finsler Geometry

Patrícia Carvalho, Cristian Landri, Ravi Mistry, Aleksandr Pinzul

Comments: 27 pages

Subjects: Mathematical Physics (math-ph); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Theory (hep-th)

[810] arXiv:2208.03803 [pdf, other]

Title: Notes on the Union Closed Sets Conjecture

Nicolas Nagel

Subjects: Combinatorics (math.CO)

[811] arXiv:2208.03805 [pdf, other]

Title: Epi-Convergence of Expectation Functions under Varying Measures and Integrands

Eugene A. Feinberg, Pavlo O. Kasyanov, Johannes O. Royset

Subjects: Optimization and Control (math.OC)

[812] arXiv:2208.03807 [pdf, html, other]

Title: Proofs of ergodicity of piecewise M\"obius interval maps using planar extensions

Kariane Calta, Cor Kraaikamp, Thomas A. Schmidt

Comments: 34 pages, 8 figures. Expanded introduction, tightened focus (by trimming some results and figures), added four new figures

Subjects: Dynamical Systems (math.DS)

[813] arXiv:2208.03811 [pdf, other]

Title: Decomposable Non-Smooth Convex Optimization with Nearly-Linear Gradient Oracle Complexity

Sally Dong, Haotian Jiang, Yin Tat Lee, Swati Padmanabhan, Guanghao Ye

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

[814] arXiv:2208.03818 [pdf, other]

Title: Lipschitz means and mixers on metric spaces

Leonid V. Kovalev

Journal-ref: Illinois J. Math., 68 (2024), no. 1, 167-187

Subjects: Metric Geometry (math.MG)

[815] arXiv:2208.03821 [pdf, other]

Title: Norm inequalities for Dunkl-type fractional integral and fractional maximal operators in the Dunkl-Fofana spaces

Pokou Nagacy, Justin Feuto, Berenger Akon Kpata

Comments: 28 pages

Subjects: Analysis of PDEs (math.AP)

[816] arXiv:2208.03830 [pdf, other]

Title: A family of quintic Thue equations via Skolem's $p$-adic method

Davide Lombardo

Comments: Dedicated to Roberto Dvornicich on the occasion of his 70th birthday, 10 pages

Journal-ref: Riv. Math. Univ. Parma (N.S.) 13 (2022), no. 1, 161-173

Subjects: Number Theory (math.NT)

[817] arXiv:2208.03838 [pdf, other]

Title: Remarks on totally positive flag manifolds

G. Lusztig

Comments: 8 pages

Subjects: Representation Theory (math.RT)

[818] arXiv:2208.03841 [pdf, html, other]

Title: Partial actions on quotient spaces and globalization

L. Martínez, H. Pinedo, A. Villamizar

Comments: 14 pages

Subjects: General Topology (math.GN); Operator Algebras (math.OA)

[819] arXiv:2208.03846 [pdf, other]

Title: Error Profile for Discontinuous Galerkin Time Stepping of Parabolic PDEs

William McLean, Kassem Mustapha

Comments: 21 pages, 3 figures

Subjects: Numerical Analysis (math.NA)

[820] arXiv:2208.03848 [pdf, other]

Title: Information bottleneck theory of high-dimensional regression: relevancy, efficiency and optimality

Vudtiwat Ngampruetikorn, David J. Schwab

Comments: NeurIPS 2022

Subjects: Information Theory (cs.IT); Statistical Mechanics (cond-mat.stat-mech); Machine Learning (cs.LG); Data Analysis, Statistics and Probability (physics.data-an); Machine Learning (stat.ML)

[821] arXiv:2208.03850 [pdf, other]

Title: Asymptotic behavior and Liouville-type theorems for axisymmetric stationary Navier-Stokes equations outside of an infinite cylinder with a periodic boundary condition

Hideo Kozono, Yutaka Terasawa, Yuta Wakasugi

Comments: 15 pages

Subjects: Analysis of PDEs (math.AP)

[822] arXiv:2208.03851 [pdf, other]

Title: Numerical Evaluation of Mittag-Leffler Functions

William McLean

Comments: 22 pages, 19 figures

Journal-ref: Calcolo 58:7, 2021

Subjects: Numerical Analysis (math.NA)

[823] arXiv:2208.03853 [pdf, other]

Title: Superlinear stochastic heat equation on $\mathbb{R}^d$

Le Chen, Jingyu Huang

Comments: 15 pages

Subjects: Probability (math.PR)

[824] arXiv:2208.03856 [pdf, other]

Title: Irreducible polynomials in quadratic semigroups

Wade Hindes, Reiyah Jacobs, Peter Ye

Subjects: Number Theory (math.NT); Commutative Algebra (math.AC); Dynamical Systems (math.DS)

[825] arXiv:2208.03858 [pdf, other]

Title: A Riemannian Optimization Approach to Clustering Problems

Wen Huang, Meng Wei, Kyle A. Gallivan, Paul Van Dooren

Subjects: Optimization and Control (math.OC)

[826] arXiv:2208.03859 [pdf, other]

Title: Dihedral rigidity in hyperbolic 3-space

Xiaoxiang Chai (KIAS), Gaoming Wang

Comments: 35 pages, 7 figures; this paper contains in the Appendix a result of arXiv:2102.10715 due to X. Chai

Subjects: Differential Geometry (math.DG); General Relativity and Quantum Cosmology (gr-qc); Geometric Topology (math.GT)

[827] arXiv:2208.03864 [pdf, other]

Title: Minimal Binary Linear Codes from Vectorial Boolean Functions

Yanjun Li, Jie Peng, Haibin Kan, Lijing Zheng

Subjects: Information Theory (cs.IT)

[828] arXiv:2208.03866 [pdf, other]

Title: Valid Widgets Contain Legal Subwidgets

Nathan Donagi

Comments: 3 pages

Subjects: Algebraic Geometry (math.AG)

[829] arXiv:2208.03874 [pdf, other]

Title: Scaling limits and fluctuations of a family of $N$-urn branching processes

Xiaofeng Xue

Comments: 24 pages

Subjects: Probability (math.PR)

[830] arXiv:2208.03875 [pdf, other]

Title: Explicit K-symplectic methods for nonseparable non-canonical Hamiltonian systems

Beibei Zhu, Lun Ji, Aiqing Zhu, Yifa Tang

Subjects: Numerical Analysis (math.NA)

[831] arXiv:2208.03878 [pdf, other]

Title: On the long-time asymptotic of the modified Camassa-Holm equation with nonzero boundary conditions in space-time solitonic regions

Jin-Jie Yang, Shou-Fu Tian, Zhi-Qiang Li

Comments: 68 pages

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

[832] arXiv:2208.03881 [pdf, other]

Title: Network Critical Slowing Down: Data-Driven Detection of Critical Transitions in Nonlinear Networks

Mohammad Pirani, Saber Jafarpour

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY); Chaotic Dynamics (nlin.CD)

[833] arXiv:2208.03882 [pdf, other]

Title: On a generalization of Busemann's intersection inequality

Vlad Yaskin

Comments: 14 pages

Subjects: Metric Geometry (math.MG); Functional Analysis (math.FA)

[834] arXiv:2208.03885 [pdf, other]

Title: Statistical Properties of the Probabilistic Numeric Linear Solver BayesCG

Tim W. Reid, Ilse C. F. Ipsen, Jon Cockayne, Chris J. Oates

Comments: 40 Pages

Subjects: Numerical Analysis (math.NA)

[835] arXiv:2208.03890 [pdf, other]

Title: Fourth-order conservative non-splitting semi-Lagrangian Hermite WENO schemes for kinetic and fluid simulations

Nanyi Zheng, Xiaofeng Cai, Jing-Mei Qiu, Jianxian Qiu

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

[836] arXiv:2208.03892 [pdf, other]

Title: Composition-differentiation operators on $S^2(\mathbb{D})$

Robert F. Allen, Katherine Heller, Matthew A. Pons

Comments: in submission

Subjects: Functional Analysis (math.FA)

[837] arXiv:2208.03893 [pdf, other]

Title: Category $\mathcal{O}$ for the Lie algebra of vector fields on the line

Genqiang Liu, Mingjie Li

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

[838] arXiv:2208.03896 [pdf, other]

Title: Singularity categories of normal crossings surfaces, descent, and mirror symmetry

James Pascaleff, Nicolò Sibilla

Comments: 43 pages, 1 figure

Subjects: Algebraic Geometry (math.AG); Symplectic Geometry (math.SG)

[839] arXiv:2208.03912 [pdf, other]

Title: On oriented $m$-semiregular representations of finite groups

Jia-Li Du, Yan-Quan Feng, Sejeong Bang

Comments: 15pages, 6 figures

Subjects: Group Theory (math.GR)

[840] arXiv:2208.03921 [pdf, html, other]

Title: Motivic integration on special rigid varieties and the motivic integral identity conjecture

Hong Duc Nguyen

Comments: 39 pages. Two new sections (Section 3.3 and Section 3.4) are added providing a study of motivic Fubini theorem for the motivic volume. The proof of the motivic integral identity conjecture in Section 4 is shorted by using a motivic Fubini theorem in Section 3.3

Subjects: Algebraic Geometry (math.AG)

[841] arXiv:2208.03924 [pdf, other]

Title: Hecke equivariance of generalized Borcherds products of type $O(2,1)$

Daeyeol Jeon, Soon-Yi Kang, Chang Heon Kim

Comments: 18 pages

Subjects: Number Theory (math.NT)

[842] arXiv:2208.03925 [pdf, other]

Title: Directional Deduction

Roderick Batchelor

Comments: 165 pages

Subjects: Logic (math.LO)

[843] arXiv:2208.03926 [pdf, other]

Title: Achievable Refined Asymptotics for Successive Refinement Using Gaussian Codebooks

Lin Bai, Zhuangfei Wu, Lin Zhou

Subjects: Information Theory (cs.IT)

[844] arXiv:2208.03927 [pdf, html, other]

Title: A comparison between the Avila-Gou\"ezel-Yoccoz norm and the Teichm\"uller norm

Weixu Su, Shenxing Zhang

Comments: 10 pages,2 figure

Subjects: Geometric Topology (math.GT); Complex Variables (math.CV)

[845] arXiv:2208.03928 [pdf, other]

Title: Reconfigurable Intelligent Surfaces Empowered Cooperative Rate Splitting with User Relaying

Kangchun Zhao, Yijie Mao, Zhaohui Yang, Lixiang Lian, Bruno Clerckx

Comments: 6 pages,5 figures

Subjects: Information Theory (cs.IT)

[846] arXiv:2208.03931 [pdf, other]

Title: On the polyhedral homotopy method for solving generalized Nash equilibrium problems of polynomials

Kisun Lee, Xindong Tang

Comments: 25 pages, Version to appear in Journal of Scientific Computing

Subjects: Optimization and Control (math.OC); Algebraic Geometry (math.AG)

[847] arXiv:2208.03939 [pdf, other]

Title: Cylindrical stochastic integration and applications to financial term structure modeling

Johannes Assefa, Philipp Harms

Comments: 19 pages, 2 figures

Subjects: Probability (math.PR); Mathematical Finance (q-fin.MF)

[848] arXiv:2208.03940 [pdf, other]

Title: Efficient constraint learning for data-driven active distribution network operation

Ge Chen, Hongcai Zhang, Yonghua Song

Comments: 10 pages

Subjects: Optimization and Control (math.OC)

[849] arXiv:2208.03957 [pdf, other]

Title: The Laplace operator, measure concentration, Gauss functions, and quantum mechanics

Harry Yserentant

Subjects: Mathematical Physics (math-ph)

[850] arXiv:2208.03959 [pdf, other]

Title: Partial reconstruction of measures from halfspace depth

Petra Laketa, Stanislav Nagy

Subjects: Statistics Theory (math.ST)