Mathematics

Authors and titles for June 2022

[2501] arXiv:2206.12210 [pdf, other]

Title: Cycle lengths in randomly perturbed graphs

Elad Aigner-Horev, Dan Hefetz, Michael Krivelevich

Comments: 21 pages, 4 figures

Subjects: Combinatorics (math.CO)

[2502] arXiv:2206.12213 [pdf, other]

Title: On diagrams accompanying reductio ad absurdum proofs in Euclid's Elements book I. Reviewing Hartshorne and Manders

Piotr Błaszczyk, Anna Petiurenko

Subjects: History and Overview (math.HO)

[2503] arXiv:2206.12220 [pdf, other]

Title: Optimal dividends under a drawdown constraint and a curious square-root rule

Hansjoerg Albrecher, Pablo Azcue, Nora Muler

Comments: 40 pages

Subjects: Optimization and Control (math.OC); Mathematical Finance (q-fin.MF)

[2504] arXiv:2206.12228 [pdf, other]

Title: Noncommutative maximal ergodic inequalities for amenable groups

Léonard Cadilhac, Simeng Wang

Comments: Preliminary version, comments are welcome. 22 pages

Subjects: Operator Algebras (math.OA); Dynamical Systems (math.DS); Functional Analysis (math.FA); Group Theory (math.GR)

[2505] arXiv:2206.12232 [pdf, other]

Title: A Fundamental Limit of Distributed Hypothesis Testing Under Memoryless Quantization

Yunus Inan, Mert Kayaalp, Ali H. Sayed, Emre Telatar

Comments: A short version is presented in ICC 2022, Seoul

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

[2506] arXiv:2206.12234 [pdf, other]

Title: Explicit expressions and computational methods for the Fortet-Mourier distance to finite weighted sums of Dirac measures

Sander C. Hille, Esmée S. Theewis

Subjects: Functional Analysis (math.FA)

[2507] arXiv:2206.12242 [pdf, other]

Title: Intersecting near-optimal spaces: European power systems with more resilience to weather variability

Aleksander Grochowicz, Koen van Greevenbroek, Fred Espen Benth, Marianne Zeyringer

Comments: 34 pages, 18 figures, 2 tables

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

[2508] arXiv:2206.12244 [pdf, other]

Title: Equivariant hierarchically hyperbolic structures for 3-manifold groups via quasimorphisms

Mark Hagen, Jacob Russell, Alessandro Sisto, Davide Spriano

Comments: Version to appear in Annales de l'Institut Fourier

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

[2509] arXiv:2206.12248 [pdf, other]

Title: Existence of Optimally-Greatest Digraphs for Strongly Connected Node Reliability

Danielle Cox, Kyle MacKeigan, Emily Wright

Comments: 24 pages, 17 figures

Subjects: Combinatorics (math.CO)

[2510] arXiv:2206.12249 [pdf, other]

Title: Loskot-Rudnicki's inequality and General Relative Entropy inequality for Cauchy problems preserving positivity

Etienne Bernard

Subjects: Analysis of PDEs (math.AP)

[2511] arXiv:2206.12253 [pdf, other]

Title: The role of rationality in integer-programming relaxations

Manuel Aprile, Gennadiy Averkov, Marco Di Summa, Christopher Hojny

Subjects: Optimization and Control (math.OC); Discrete Mathematics (cs.DM); Combinatorics (math.CO)

[2512] arXiv:2206.12269 [pdf, other]

Title: Data-driven reduced order models using invariant foliations, manifolds and autoencoders

Robert Szalai

Comments: 48 pages, 16 figures. Update: some bugs were fixed in the numerical calculations

Subjects: Dynamical Systems (math.DS); Machine Learning (cs.LG); Data Analysis, Statistics and Probability (physics.data-an)

[2513] arXiv:2206.12286 [pdf, other]

Title: An attempt to trace the birth of importance sampling

Charly Andral (CEREMADE)

Subjects: History and Overview (math.HO); History and Philosophy of Physics (physics.hist-ph); Computation (stat.CO)

[2514] arXiv:2206.12289 [pdf, other]

Title: Mathematical modeling of multilane vehicular traffic by discrete kinetic theory approach

Mohamed Zagour

Subjects: Analysis of PDEs (math.AP)

[2515] arXiv:2206.12298 [pdf, html, other]

Title: A Perturbed-Alexander Invariant

Dror Bar-Natan, Roland van der Veen

Subjects: Geometric Topology (math.GT); Quantum Algebra (math.QA)

[2516] arXiv:2206.12302 [pdf, other]

Title: The quantitative distribution of Hecke eigenvalues of Maass forms

Moni Kumari, Jyoti Sengupta

Journal-ref: Res. Number Theory, 2022

Subjects: Number Theory (math.NT)

[2517] arXiv:2206.12306 [pdf, other]

Title: Maximum Independent Set of Cliques and The Generalized Mantel's Theorem

Hossein Teimoori Faal

Comments: 6 pages

Subjects: Combinatorics (math.CO)

[2518] arXiv:2206.12307 [pdf, other]

Title: Interior H\"older continuity for singular-degenerate porous medium type equations with an application to a biofilm model

V. Hissink Muller

Subjects: Analysis of PDEs (math.AP)

[2519] arXiv:2206.12308 [pdf, html, other]

Title: Strongly isomorphic symbolic extensions for expansive topological flows

Yonatan Gutman, Ruxi Shi

Comments: 32 pages

Subjects: Dynamical Systems (math.DS)

[2520] arXiv:2206.12313 [pdf, other]

Title: Relative Ideal Classes of Arbitrary Order

David L. Pincus, Lawrence C. Washington

Comments: 23 pages

Subjects: Number Theory (math.NT)

[2521] arXiv:2206.12315 [pdf, other]

Title: Augmented unprojected Krylov subspace methods

Liam Burke, Kirk M. Soodhalter

Comments: 13 pages, 1 figure

Subjects: Numerical Analysis (math.NA)

[2522] arXiv:2206.12316 [pdf, other]

Title: A Branch-and-Price Algorithm for the Two-Echelon Inventory-Routing Problem

Sara Charaf, Duygu Taş, Simme Douwe Flapper, Tom van Woensel

Subjects: Optimization and Control (math.OC)

[2523] arXiv:2206.12317 [pdf, other]

Title: Evaluations of some Toeplitz-type determinants

Han Wang, Zhi-Wei Sun

Comments: 22 this http URL parts (ii) and (iii) of Theorem 1.1

Subjects: Number Theory (math.NT)

[2524] arXiv:2206.12324 [pdf, other]

Title: Input-output consistency in integrate and fire interconnected neurons

Petr Lansky, Federico Polito, Laura Sacerdote

Subjects: Probability (math.PR)

[2525] arXiv:2206.12331 [pdf, other]

Title: Total Generalized Variation for Piecewise Constant Functions on Triangular Meshes with Applications in Imaging

Lukas Baumgärtner, Ronny Bergmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez

Subjects: Numerical Analysis (math.NA)

[2526] arXiv:2206.12333 [pdf, other]

Title: Achievement and Fragility of Long-term Equitability

Andrea Simonetto, Ivano Notarnicola

Comments: 12 pages, 7 figures

Journal-ref: Proceedings of the 2022 AAAI/ACM Conference on AI, Ethics, and Society

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

[2527] arXiv:2206.12334 [pdf, other]

Title: A Twistor Construction of Hopf Real Hypersurfaces in Complex hyperbolic Space

Jong Taek Cho, Makoto Kimura, Miguel Ortega

Subjects: Differential Geometry (math.DG)

[2528] arXiv:2206.12335 [pdf, other]

Title: Improved bounds for 1-independent percolation on $\mathbb{Z}^n$

Paul Balister, Tom Johnston, Michael Savery, Alex Scott

Comments: 31 pages, 3 figures

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

[2529] arXiv:2206.12345 [pdf, other]

Title: Some dynamics in real quadratic fields with applications to inhomogeneous minima

Nick Ramsey

Comments: 10 pages, 3 figures

Subjects: Number Theory (math.NT)

[2530] arXiv:2206.12349 [pdf, html, other]

Title: Fourier-Mukai transform for fine compactified Prym varieties

Emilio Franco, Robert Hanson, João Ruano

Subjects: Algebraic Geometry (math.AG)

[2531] arXiv:2206.12350 [pdf, other]

Title: Flatness Analysis for the Sampled-data Model of a Single Mast Stacker Crane

Johannes Diwold, Bernd Kolar, Markus Schöberl

Journal-ref: IFAC-PapersOnLine Volume 56, Issue 1, 2023, Pages 222-227

Subjects: Dynamical Systems (math.DS)

[2532] arXiv:2206.12359 [pdf, other]

Title: Lower and upper bounds for the explosion times of a system of semilinear SPDEs

S. Sankar, Manil T. Mohan, S. Karthikeyan

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

[2533] arXiv:2206.12365 [pdf, other]

Title: On the validity of bootstrap uncertainty estimates in the Mallows-Binomial model

Michael Pearce, Elena A. Erosheva

Comments: 9 pages

Subjects: Statistics Theory (math.ST)

[2534] arXiv:2206.12377 [pdf, other]

Title: A proof of Erd\H{o}s's $B+B+t$ conjecture

Bryna Kra, Joel Moreira, Florian K. Richter, Donald Robertson

Comments: 14 pages. Changes after referee comments, improved exposition

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

[2535] arXiv:2206.12378 [pdf, other]

Title: A transient equivalence between Aldous-Broder and Wilson's algorithms and a two-stage framework for generating uniform spanning trees

Igor Nunes, Giulio Iacobelli, Daniel Ratton Figueiredo

Subjects: Combinatorics (math.CO); Discrete Mathematics (cs.DM); Data Structures and Algorithms (cs.DS); Probability (math.PR)

[2536] arXiv:2206.12379 [pdf, other]

Title: The Bayes Estimator of a Conditional Density: Consistency

Agustin G. Nogales

Comments: 13 pages

Subjects: Statistics Theory (math.ST)

[2537] arXiv:2206.12386 [pdf, other]

Title: Rigidity theorems for best Sobolev inequalities

Francesco Maggi, Robin Neumayer, Ignacio Tomasetti

Comments: 30 pages, comments welcome!

Subjects: Analysis of PDEs (math.AP)

[2538] arXiv:2206.12387 [pdf, other]

Title: Holder estimates for kinetic Fokker-Planck equations up to the boundary

Luis Silvestre

Comments: This is the published article in Ars Inveniendi Analytica

Subjects: Analysis of PDEs (math.AP)

[2539] arXiv:2206.12391 [pdf, other]

Title: Explicit Exactly Energy-conserving Methods for Hamiltonian Systems

Stefan Bilbao, Michele Ducceschi, Fabiana Zama

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

[2540] arXiv:2206.12399 [pdf, other]

Title: Existence of an equilibrium with limited participation

Kim Weston

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

[2541] arXiv:2206.12400 [pdf, html, other]

Title: The projective Fra\"{\i}ss\'{e} limit of the family of all connected finite graphs with confluent epimorphisms

Włodzimierz J. Charatonik, Aleksandra Kwiatkowska, Robert P. Roe

Comments: accepted to TAMS

Subjects: General Topology (math.GN); Logic (math.LO)

[2542] arXiv:2206.12421 [pdf, other]

Title: On The Euclidean Algorithm: Rhythm Without Recursion

Thomas Morrill

Subjects: History and Overview (math.HO); Number Theory (math.NT)

[2543] arXiv:2206.12422 [pdf, other]

Title: On Difference of Enhanced Power Graph and Power Graph of a Finite Group

Sucharita Biswas, Peter J. Cameron, Angsuman Das, Hiranya Kishore Dey

Comments: 28 pages

Journal-ref: Journal of Combinatorial Theory, Series A Volume 208 , November 2024, 105932

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

[2544] arXiv:2206.12428 [pdf, other]

Title: Algebraic area enumeration for open lattice walks

Stephane Ouvry, Alexios Polychronakos

Comments: 15 pages, 2 figures

Journal-ref: J. Phys. A: Math. Theor. 55 (2022) 485005

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); High Energy Physics - Theory (hep-th); Combinatorics (math.CO)

[2545] arXiv:2206.12433 [pdf, other]

Title: Models for the Cohomology of Certain Polyhedral Products

Martin Bendersky, Jelena Grbić

Comments: 13 pages

Subjects: Algebraic Topology (math.AT)

[2546] arXiv:2206.12442 [pdf, other]

Title: Families of $\phi$-congruence subgroups of the modular group

Angelica Babei, Andrew Fiori, Cameron Franc

Subjects: Number Theory (math.NT)

[2547] arXiv:2206.12448 [pdf, other]

Title: Introduction to 2-dimensional Topological Quantum Field Theory

Leon Menger

Comments: 94 pages + bibliography + index

Subjects: Quantum Algebra (math.QA); Mathematical Physics (math-ph); Category Theory (math.CT)

[2548] arXiv:2206.12451 [pdf, other]

Title: Analytical Properties for a Stochastic Rotating Shallow Water Model under Location Uncertainty

Oana Lang, Dan Crisan, Etienne Mémin

Comments: 46 pages, comments welcome

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

[2549] arXiv:2206.12457 [pdf, other]

Title: Probability Theoretic Generalizations of Hardy's and Copson's Inequality

Chris A.J. Klaassen

Comments: 15 pages, 8 references

Subjects: Probability (math.PR)

[2550] arXiv:2206.12459 [pdf, other]

Title: Polarisation of SKT Calabi-Yau $\partial\bar\partial$-manifolds by Aeppli classes

Yi Ma

Comments: 15 pages

Subjects: Complex Variables (math.CV); Differential Geometry (math.DG)