Mathematics

Authors and titles for February 2022

[351] arXiv:2202.01625 [pdf, other]

Title: Efficient learning of hidden state LTI state space models of unknown order

Boualem Djehiche, Othmane Mazhar

Comments: 47 pages

Subjects: Statistics Theory (math.ST); Probability (math.PR); Machine Learning (stat.ML)

[352] arXiv:2202.01632 [pdf, other]

Title: Poisson generic sequences

Nicolás Álvarez, Verónica Becher, Martín Mereb

Subjects: Number Theory (math.NT)

[353] arXiv:2202.01638 [pdf, other]

Title: Limit of Bergman kernels on a tower of coverings of compact K\"ahler manifolds

Sungmin Yoo, Jihun Yum

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

[354] arXiv:2202.01654 [pdf, other]

Title: On the size-Ramsey number of grids

David Conlon, Rajko Nenadov, Miloš Trujić

Comments: 8 pages, 1 figure

Subjects: Combinatorics (math.CO)

[355] arXiv:2202.01655 [pdf, other]

Title: Subordination principle and Feynman-Kac formulae for generalized time-fractional evolution equations

Christian Bender, Marie Bormann, Yana A. Butko

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

[356] arXiv:2202.01658 [pdf, other]

Title: Curvature on Graphs via Equilibrium Measures

Stefan Steinerberger

Subjects: Combinatorics (math.CO); Differential Geometry (math.DG)

[357] arXiv:2202.01662 [pdf, html, other]

Title: The hyperbolic umbilic singularity in fast-slow systems

Hildeberto Jardón-Kojakhmetov, Christian Kuehn, Maximilian Steinert

Comments: 56 pages, 19 figures, minor revisions and fixed typos

Journal-ref: Nonlinearity, Volume 37, Number 9, 2024

Subjects: Dynamical Systems (math.DS)

[358] arXiv:2202.01673 [pdf, other]

Title: $p$-Adic interpolation of orbits under rational maps

Jason P. Bell, Xiao Zhong

Comments: 12 pages

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

[359] arXiv:2202.01674 [pdf, other]

Title: Fair partitions of the plane into incongruent pentagons

Dirk Frettlöh, Christian Richter

Comments: 6 pages, 2 figures

Subjects: Metric Geometry (math.MG)

[360] arXiv:2202.01683 [pdf, other]

Title: On the properties of the exceptional set for the randomized Euler and Runge-Kutta schemes

Tomasz Bochacik

Subjects: Numerical Analysis (math.NA)

[361] arXiv:2202.01687 [pdf, html, other]

Title: Analytical study of The Lorenz system: existence of infinitely many periodic orbits and their topological characterization

Tali Pinsky

Comments: version accepted to the PNAS

Journal-ref: Proc. Natl. Acad. Sci. USA 120 (2023), no. 31

Subjects: Dynamical Systems (math.DS)

[362] arXiv:2202.01688 [pdf, other]

Title: On upper bounds for the first $\ell^2$-Betti number

Carsten Feldkamp, Steffen Kionke

Comments: 10 pages, comments welcome

Subjects: Group Theory (math.GR)

[363] arXiv:2202.01695 [pdf, other]

Title: Green Vehicle Routing Problem: State of the Art and Future Directions

Saba Sabet, Bilal Farooq

Subjects: Optimization and Control (math.OC)

[364] arXiv:2202.01700 [pdf, other]

Title: Non-uniqueness times for the maximizer of the KPZ fixed point

Duncan Dauvergne

Comments: 33 pages

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

[365] arXiv:2202.01707 [pdf, other]

Title: Local Minimum Principle for an Optimal Control Problem with a Nonregular Mixed Constraint

A.V. Dmitruk, N.P. Osmolovskii

Comments: Text in 26 pages, no figures

Subjects: Optimization and Control (math.OC)

[366] arXiv:2202.01724 [pdf, other]

Title: Seeded Database Matching Under Noisy Column Repetitions

Serhat Bakirtas, Elza Erkip

Subjects: Information Theory (cs.IT)

[367] arXiv:2202.01730 [pdf, other]

Title: Matching of Markov Databases Under Random Column Repetitions

Serhat Bakirtas, Elza Erkip

Subjects: Information Theory (cs.IT)

[368] arXiv:2202.01742 [pdf, other]

Title: Mean field limits of co-evolutionary heterogeneous networks

Marios Antonios Gkogkas, Christian Kuehn, Chuang Xu

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

[369] arXiv:2202.01745 [pdf, other]

Title: Symmetric matrix representations of truncated Toeplitz operators on finite dimensional spaces

Ryan O'Loughlin

Subjects: Functional Analysis (math.FA); Algebraic Geometry (math.AG)

[370] arXiv:2202.01754 [pdf, other]

Title: Bifurcation analysis for axisymmetric capillary water waves with vorticity and swirl

André Erhardt, Erik Wahlén, Jörg Weber

Journal-ref: Stud. Appl. Math. 149 (2022), no. 4, 904-942

Subjects: Analysis of PDEs (math.AP)

[371] arXiv:2202.01755 [pdf, other]

Title: Classification of doubly periodic untwisted (p,q)-weaves by their crossing number

Mizuki Fukuda, Motoko Kotani, Sonia Mahmoudi

Comments: 22 pages, 12 figures. arXiv admin note: text overlap with arXiv:2108.09464

Subjects: Geometric Topology (math.GT)

[372] arXiv:2202.01756 [pdf, other]

Title: On the Convergence of Inexact Predictor-Corrector Methods for Linear Programming

Gregory Dexter, Agniva Chowdhury, Haim Avron, Petros Drineas

Comments: 39 pages total. 12 pages main text. 4 figures

Subjects: Optimization and Control (math.OC)

[373] arXiv:2202.01760 [pdf, other]

Title: Statistical mechanics of Coulomb systems: From electrons and nuclei to atoms and molecules

Joel L. Lebowitz

Subjects: Mathematical Physics (math-ph)

[374] arXiv:2202.01766 [pdf, other]

Title: Continuous bilinear maps on Banach $\star$-algebras

Behrooz Fadaee

Comments: 5 pages

Subjects: Functional Analysis (math.FA)

[375] arXiv:2202.01772 [pdf, other]

Title: How to find all connections in the Pantelides algorithm for delay differential-algebraic equations

Daniel Collin

Comments: Currently in review for the GAMMAS journal

Subjects: Dynamical Systems (math.DS)

[376] arXiv:2202.01774 [pdf, other]

Title: The Duistermaat-Heckman formula and Chern-Schwartz-MacPherson classes

Allen Knutson

Comments: 12 pages, for Victor Guillemin's birthday

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

[377] arXiv:2202.01775 [pdf, other]

Title: A computational view on the non-degeneracy invariant for Enriques surfaces

Riccardo Moschetti, Franco Rota, Luca Schaffler

Comments: 26 pages, 11 figures. Final version. To appear in Experimental Mathematics

Journal-ref: Experimental Mathematics, 1-22, 2022

Subjects: Algebraic Geometry (math.AG)

[378] arXiv:2202.01800 [pdf, other]

Title: Duals in natural characteristic

Peter Schneider, Claus Sorensen

Comments: 18 pages

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

[379] arXiv:2202.01801 [pdf, other]

Title: Double Inequalities for Complete Monotonicity Degrees of Remainders of Asymptotic Expansions of the Gamma and Digamma Functions

Mohamed Bouali

Subjects: Classical Analysis and ODEs (math.CA)

[380] arXiv:2202.01805 [pdf, other]

Title: On the relations of stochastic convex optimization problems with empirical risk minimization problems on $p$-norm balls

Darina Dvinskikh, Vitali Pirau, Alexander Gasnikov

Comments: 14 pages, in Russian

Subjects: Optimization and Control (math.OC)

[381] arXiv:2202.01814 [pdf, other]

Title: On Shilnikov attractors of three-dimensional flows and maps

Yuliya Bakhanova, Sergey Gonchenko, Alexander Gonchenko, Alexey Kazakov, Eugeniya Samylina

Comments: 19 pages, 10 figures

Subjects: Dynamical Systems (math.DS); Chaotic Dynamics (nlin.CD)

[382] arXiv:2202.01815 [pdf, other]

Title: Position of the centroid of a planar convex body

Marek Lassak

Comments: 8 pages, 1 figure

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

[383] arXiv:2202.01816 [pdf, other]

Title: SAFE-OCC: A Novelty Detection Framework for Convolutional Neural Network Sensors and its Application in Process Control

Joshua L. Pulsipher, Luke D. J. Coutinho, Tyler A. Soderstrom, Victor M. Zavala

Subjects: Optimization and Control (math.OC); Computer Vision and Pattern Recognition (cs.CV)

[384] arXiv:2202.01824 [pdf, other]

Title: Waveform inversion via reduced order modeling

Liliana Borcea, Josselin Garnier, Alexander V. Mamonov, Jörn Zimmerling

Subjects: Numerical Analysis (math.NA); Geophysics (physics.geo-ph)

[385] arXiv:2202.01825 [pdf, other]

Title: Misspecification Tests on Models of Random Graphs

Denise Duarte, Rafael Honório Pereira Alves

Subjects: Statistics Theory (math.ST)

[386] arXiv:2202.01826 [pdf, other]

Title: Optimal Strategies for the Game of Protecting a Plane in 3-D

Eloy Garcia, Isaac Weintraub, David W. Casbeer, Meir Pachter

Comments: 9 pages, 9 figures

Subjects: Optimization and Control (math.OC)

[387] arXiv:2202.01836 [pdf, other]

Title: Some recent progress on the stationary measure for the open KPZ equation

Ivan Corwin

Comments: 29 pages, 6 figures. To be included in "Toeplitz Operators and Random Matrices - In Memory of Harold Widom"

Subjects: Probability (math.PR)

[388] arXiv:2202.01837 [pdf, other]

Title: Oscillation of the remainder term in the prime number theorem of Beurling, "caused by a given zeta-zero"

Szilárd Gy. Révész

Subjects: Number Theory (math.NT)

[389] arXiv:2202.01852 [pdf, other]

Title: Bounds on the Picard rank of toric Fano varieties with minimal curve constraints

Roya Beheshti, Ben Wormleighton

Comments: 11 pages; v.2. thanks to Cinzia Casagrande for noticing an error that has been corrected with no changes to the results; v.3. minor typos fixed; v.4. final version; comments welcome!

Subjects: Algebraic Geometry (math.AG)

[390] arXiv:2202.01853 [pdf, other]

Title: Posinormal Composition Operators on $H^2$

Paul S. Bourdon, Derek Thompson

Comments: 16 pages

Subjects: Functional Analysis (math.FA)

[391] arXiv:2202.01856 [pdf, other]

Title: Data-Driven Optimal Control via Linear Transfer Operators: A Convex Approach

Joseph Moyalan, Hyungjin Choi, Yongxin Chen, Umesh Vaidya

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

[392] arXiv:2202.01860 [pdf, other]

Title: Shape Dynamics of $N$ Point Vortices on the Sphere

Tomoki Ohsawa

Comments: 28 pages, 2 figures

Journal-ref: Nonlinearity, 36 (2023), 1000

Subjects: Mathematical Physics (math-ph); Symplectic Geometry (math.SG); Fluid Dynamics (physics.flu-dyn)

[393] arXiv:2202.01867 [pdf, other]

Title: Lieb's permanental dominance conjecture

Ian M. Wanless

Journal-ref: R.L. Frank, A. Laptev, M. Lewin and R. Seiringer (eds.) The Physics and Mathematics of Elliott Lieb, vol. 2, EMS Press, Berlin, 2022, pp501-516

Subjects: Representation Theory (math.RT); Combinatorics (math.CO); History and Overview (math.HO)

[394] arXiv:2202.01872 [pdf, other]

Title: Existence results for a class of quasilinear Schr\"odinger equations with singular or vanishing potentials

Marino Badiale, Michela Guida, Sergio Rolando

Comments: To appear on Nonlinear Analysis. arXiv admin note: text overlap with arXiv:1912.07537

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

[395] arXiv:2202.01878 [pdf, other]

Title: On the Benefit of Cooperation in Relay Networks

Oliver Kosut, Michelle Effros, Michael Langberg

Comments: Full version of a paper submitted to ISIT 2022. 9 pages, 3 figures

Subjects: Information Theory (cs.IT)

[396] arXiv:2202.01892 [pdf, other]

Title: Univalent foundations and the equivalence principle

Benedikt Ahrens, Paige Randall North

Journal-ref: In: Centrone S., Kant D., Sarikaya D. (eds) Reflections on the Foundations of Mathematics. Synthese Library (Studies in Epistemology, Logic, Methodology, and Philosophy of Science), vol 407. 2019. Springer, Cham

Subjects: Logic (math.LO); Logic in Computer Science (cs.LO); History and Overview (math.HO)

[397] arXiv:2202.01896 [pdf, other]

Title: Yordle: An Efficient Imitation Learning for Branch and Bound

Qingyu Qu, Xijun Li, Yunfan Zhou

Comments: arXiv admin note: text overlap with arXiv:2201.06213

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

[398] arXiv:2202.01898 [pdf, other]

Title: Some Fuzzy Korovkin type Approximation Theorems via Power Series Summability Method

Behar Baxhaku, Purshottam Narain Agrawal, Rahul Shukla

Subjects: General Mathematics (math.GM)

[399] arXiv:2202.01904 [pdf, other]

Title: A Note on the Conditional Probabilities of the Telegraph Process

Fabrizio Cinque

Comments: 15 pages, 2 figures

Subjects: Probability (math.PR)

[400] arXiv:2202.01911 [pdf, other]

Title: Twisted moments of GL(3)xGL(2) L-functions

Jakob Streipel

Comments: 30 pages, to appear in IJNT

Journal-ref: Int. J. Number Theory 18:6 (2022) 1301-1334

Subjects: Number Theory (math.NT)