Mathematics

Authors and titles for September 2022

[1601] arXiv:2209.07465 [pdf, other]

Title: Curvature Propagation for the 3+1 Dimensional U(1) Symmetric Einstein Spacetimes

Nishanth Gudapati

Subjects: Analysis of PDEs (math.AP); General Relativity and Quantum Cosmology (gr-qc)

[1602] arXiv:2209.07473 [pdf, other]

Title: Wandering Domains in $\mathbb{C}\times \mathbb{R}$

Ramanpreet Kaur

Subjects: Complex Variables (math.CV); Dynamical Systems (math.DS)

[1603] arXiv:2209.07482 [pdf, other]

Title: Euler scheme for approximation of solution of nonlinear ODEs under inexact information

Natalia Czyżewska, Paweł M. Morkisz, Paweł Przybyłowicz

Comments: 18 pages, 9 figures

Subjects: Numerical Analysis (math.NA)

[1604] arXiv:2209.07485 [pdf, other]

Title: Some arithmetical properties of convergents to algebraic numbers

Yann Bugeaud, Khoa D. Nguyen

Journal-ref: Pacific J. Math. 326 (2023) 17-36

Subjects: Number Theory (math.NT)

[1605] arXiv:2209.07495 [pdf, other]

Title: A Jacobian Criterion for Artin $v$-stacks

Linus Hamann

Comments: Comments and corrections are welcome!

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

[1606] arXiv:2209.07501 [pdf, other]

Title: Bounded solutions of KdV: uniqueness and the loss of almost periodicity

Andreia Chapouto, Rowan Killip, Monica Vişan

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

[1607] arXiv:2209.07502 [pdf, other]

Title: A Brezis-Nirenberg type result for mixed local and nonlocal operators

Stefano Biagi, Serena Dipierro, Enrico Valdinoci, Eugenio Vecchi

Subjects: Analysis of PDEs (math.AP)

[1608] arXiv:2209.07504 [pdf, other]

Title: Computing mixed Schatten norm of completely positive maps

Mohammad ShahverdiKondori, Sio On Chan

Subjects: Numerical Analysis (math.NA)

[1609] arXiv:2209.07512 [pdf, other]

Title: Rank-expanding satellites, Whitehead doubles, and Heegaard Floer homology

Irving Dai, Matthew Hedden, Abhishek Mallick, Matthew Stoffregen

Comments: 38 pages; 18 figures

Subjects: Geometric Topology (math.GT)

[1610] arXiv:2209.07513 [pdf, other]

Title: On the complexity of finding stationary points of smooth functions in one dimension

Sinho Chewi, Sébastien Bubeck, Adil Salim

Comments: 17 pages, 3 figures

Subjects: Optimization and Control (math.OC)

[1611] arXiv:2209.07554 [pdf, other]

Title: Detecting Planted Partition in Sparse Multi-Layer Networks

Anirban Chatterjee, Sagnik Nandy, Ritwik Sadhu

Comments: Updated simulations and clarified certain results

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

[1612] arXiv:2209.07560 [pdf, other]

Title: Event-Triggered Control for Discrete-Time Delay Systems

Kexue Zhang, Elena Braverman, Bahman Gharesifard

Journal-ref: Automatica 147 (2023) 110688

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

[1613] arXiv:2209.07564 [pdf, other]

Title: Direct vs Indirect Methods for Behavior-based Attack Detection

Darshan Gadginmath, Vishaal Krishnan, Fabio Pasqualetti

Comments: 7 pages

Subjects: Optimization and Control (math.OC)

[1614] arXiv:2209.07570 [pdf, other]

Title: Non-perturbative Solution of the 1d Schrodinger Equation Describing Photoemission from a Sommerfeld model Metal by an Oscillating Field

Ovidiu Costin, Rodica Costin, Ian Jauslin, Joel L. Lebowitz

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

[1615] arXiv:2209.07571 [pdf, other]

Title: Formulating Oscillator-Inspired Dynamical Systems to Solve Boolean Satisfiability

Mohammad Khairul Bashar, Zongli Lin, Nikhil Shukla

Subjects: Dynamical Systems (math.DS); Optimization and Control (math.OC); Applied Physics (physics.app-ph)

[1616] arXiv:2209.07579 [pdf, other]

Title: On the Edges of Characteristic Imset Polytopes

Svante Linusson, Petter Restadh, Liam Solus

Comments: 36 pages, 5 figures

Subjects: Statistics Theory (math.ST); Combinatorics (math.CO)

[1617] arXiv:2209.07594 [pdf, other]

Title: Extremal Bounds for Three-Neighbour Bootstrap Percolation in Dimensions Two and Three

Peter J. Dukes, Jonathan A. Noel, Abel E. Romer

Comments: 45 pages

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

[1618] arXiv:2209.07597 [pdf, other]

Title: The Geometry of the Bing Involution

Michael Freedman, Michael Starbird

Subjects: Geometric Topology (math.GT)

[1619] arXiv:2209.07599 [pdf, other]

Title: The parameterfree Comprehension does not imply the full Comprehension in the 2nd order Peano arithmetic

Vladimir Kanovei, Vassily Lyubetsky

Comments: 13 pages

Subjects: Logic (math.LO)

[1620] arXiv:2209.07602 [pdf, other]

Title: On the Generic Capacity of $K$-User Symmetric Linear Computation Broadcast

Yuhang Yao, Syed A. Jafar

Subjects: Information Theory (cs.IT)

[1621] arXiv:2209.07605 [pdf, other]

Title: Transitive points in CR-dynamical systems

Iztok Banič, Goran Erceg, Sina Greenwood, Judy Kennedy

Subjects: Dynamical Systems (math.DS)

[1622] arXiv:2209.07609 [pdf, other]

Title: A transitive homeomorphism on the Lelek fan

Iztok Banič, Goran Erceg, Judy Kennedy

Comments: arXiv admin note: text overlap with arXiv:2206.00087

Subjects: Dynamical Systems (math.DS)

[1623] arXiv:2209.07615 [pdf, other]

Title: Existence of Partially Quadratic Lyapunov Functions That Can Certify The Local Asymptotic Stability of Nonlinear Systems

Morgan Jones, Matthew M. Peet

Subjects: Optimization and Control (math.OC); Classical Analysis and ODEs (math.CA)

[1624] arXiv:2209.07624 [pdf, other]

Title: Construction of Polynomials with prescribed divisibility conditions on the critical orbit

Mohammad Sadek, Mohamed Wafik

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

[1625] arXiv:2209.07630 [pdf, other]

Title: Shrinking Without Doing Much At All

Michael Freedman, Michael Starbird

Subjects: Geometric Topology (math.GT)

[1626] arXiv:2209.07632 [pdf, other]

Title: Fast hierarchical low-rank view factor matrices for thermal irradiance on planetary surfaces

Samuel F. Potter, Stefano Bertone, Norbert Schörghofer, Erwan Mazarico

Comments: 21 pages, 10 figures

Subjects: Numerical Analysis (math.NA)

[1627] arXiv:2209.07633 [pdf, other]

Title: Affine subspaces of antisymmetric matrices with constant rank

Elena Rubei

Comments: 10 pages

Subjects: Rings and Algebras (math.RA); Algebraic Geometry (math.AG)

[1628] arXiv:2209.07645 [pdf, html, other]

Title: Scalable Computation of Energy Functions for Nonlinear Balanced Truncation

Boris Kramer, Serkan Gugercin, Jeff Borggaard, Linus Balicki

Comments: 23 pages, 4 figures

Subjects: Optimization and Control (math.OC); Dynamical Systems (math.DS)

[1629] arXiv:2209.07646 [pdf, other]

Title: Bayesian Identification of Nonseparable Hamiltonian Systems Using Stochastic Dynamic Models

Harsh Sharma, Nicholas Galioto, Alex A. Gorodetsky, Boris Kramer

Subjects: Dynamical Systems (math.DS); Machine Learning (cs.LG); Systems and Control (eess.SY); Computational Physics (physics.comp-ph); Data Analysis, Statistics and Probability (physics.data-an)

[1630] arXiv:2209.07649 [pdf, other]

Title: On the Cauchy transform of complex powers of the identity function

Benjamin Faktor, Michael Kuhn, Gahl Shemy

Comments: 18 pages, 3 figures

Journal-ref: BSU Undergraduate Mathematics Exchange (2023), vol. 17, no. 1, 93-117

Subjects: Complex Variables (math.CV)

[1631] arXiv:2209.07650 [pdf, other]

Title: Statistical Properties of the Entropy from Ordinal Patterns

Eduarda T. C. Chagas, Alejandro. C. Frery, Juliana Gambini, Magdalena M. Lucini, Heitor S. Ramos, Andrea A. Rey

Journal-ref: Chaos: An Interdisciplinary Journal of Nonlinear Science (2022)

Subjects: Information Theory (cs.IT); Machine Learning (cs.LG); Numerical Analysis (math.NA)

[1632] arXiv:2209.07651 [pdf, other]

Title: A short proof that $w(3,k) \ge (1-o(1))k^2$

Zach Hunter

Comments: 5 pages, comments welcome!

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

[1633] arXiv:2209.07656 [pdf, other]

Title: Lieb-Thirring inequality on the four-dimensional sphere and torus

Shihang Pan

Subjects: Classical Analysis and ODEs (math.CA); Mathematical Physics (math-ph)

[1634] arXiv:2209.07664 [pdf, other]

Title: The evolution of the electric field along optical fiber for the type-2 and 3 PAFs in Minkowski 3-space

Nevin Ertug Gurbuz, Dae Won Yoon

Subjects: Mathematical Physics (math-ph)

[1635] arXiv:2209.07665 [pdf, other]

Title: Dynamical Systems under Aluthge transforms

Linh Tran

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

[1636] arXiv:2209.07675 [pdf, other]

Title: An exact category approach to Hecke endomorphism algebras

Jie Du, Brian Parshall, Leonard Scott

Comments: 144 pages

Subjects: Representation Theory (math.RT); Group Theory (math.GR); Quantum Algebra (math.QA); Rings and Algebras (math.RA)

[1637] arXiv:2209.07680 [pdf, other]

Title: Recovery of a spatially-dependent coefficient from the NLS scattering map

Jason Murphy

Comments: 16 pages

Subjects: Analysis of PDEs (math.AP)

[1638] arXiv:2209.07698 [pdf, other]

Title: Hitting a prime in 2.43 dice rolls (on average)

Noga Alon, Yaakov Malinovsky

Subjects: Probability (math.PR); Number Theory (math.NT); Other Statistics (stat.OT)

[1639] arXiv:2209.07707 [pdf, other]

Title: Variations on theorems of Mertens

Nobushige Kurokawa, Hidekazu Tanaka

Comments: 12 pages

Subjects: Number Theory (math.NT)

[1640] arXiv:2209.07710 [pdf, other]

Title: Linearly implicit energy-preserving integrating factor methods for the 2D nonlinear Schr\"odinger equation with wave operator and convergence analysis

Xuelong Gu, Wenjun Cai, Chaolong Jiang, Yushun Wang

Subjects: Numerical Analysis (math.NA)

[1641] arXiv:2209.07713 [pdf, other]

Title: The Ariki--Koike algebras and Rogers--Ramanujan type partitions

Shane Chern, Zhitai Li, Dennis Stanton, Ting Xue, Ae Ja Yee

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

[1642] arXiv:2209.07719 [pdf, other]

Title: Equivalence classes of dessins d'enfants with two vertices

Madoka Horie

Comments: 32 pages, 2 figures

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

[1643] arXiv:2209.07720 [pdf, other]

Title: $q$-birational morphisms and divisors

Donghyeon Kim

Comments: Comments are welcome. A simple but crucial typo is corrected: $f^{-1}_*Δ$ in the LHS of (3.7) was omitted

Subjects: Algebraic Geometry (math.AG)

[1644] arXiv:2209.07724 [pdf, other]

Title: q-deformed integers derived from pairs of coprime integers and its applications

Michihisa Wakui

Subjects: Geometric Topology (math.GT)

[1645] arXiv:2209.07731 [pdf, html, other]

Title: Peripheral Poisson Boundary

B. V. Rajarama Bhat, Samir Kar, Bharat Talwar

Comments: Appendix is added. Accepted for publication in the Israel Journal of Mathematics

Subjects: Operator Algebras (math.OA)

[1646] arXiv:2209.07750 [pdf, other]

Title: Some Limit Theorems Regarding Products of Random Matrices I: Directional Derivative of the Lyapunov Exponent

Fan Wang

Comments: 35 pages

Subjects: Probability (math.PR); Dynamical Systems (math.DS)

[1647] arXiv:2209.07751 [pdf, other]

Title: The colored Jones polynomial of the figure-eight knot and a quantum modularity

Hitoshi Murakami

Comments: 31 pages, 7 figures

Journal-ref: Can. J. Math.-J. Can. Math. 76 (2024) 519-554

Subjects: Geometric Topology (math.GT)

[1648] arXiv:2209.07762 [pdf, other]

Title: Compact approach to the positivity of Brown-York mass and rigidity of manifolds with mean-convex boundaries in flat and spherical contexts

S. Montiel

Comments: Several types and mistakes in the final part of the paper were corrected

Subjects: Differential Geometry (math.DG)

[1649] arXiv:2209.07763 [pdf, other]

Title: Weak-star quasi norm attaining operators

Geunsu Choi, Mingu Jung, Sun Kwang Kim, Miguel Martin

Comments: 16 pages

Journal-ref: J. Math. Anal. Appl. 529 (2024), 126874

Subjects: Functional Analysis (math.FA)

[1650] arXiv:2209.07767 [pdf, other]

Title: On the moments of the variance-gamma distribution

Robert E. Gaunt

Comments: 6 pages

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