Mathematics

Authors and titles for March 2022

[2301] arXiv:2203.11733 [pdf, other]

Title: GBEM: Galerkin Boundary Element Method for 3-D Capacitance Extraction

Shengkun Wu, Xingquan Li

Subjects: Numerical Analysis (math.NA); Computational Engineering, Finance, and Science (cs.CE)

[2302] arXiv:2203.11735 [pdf, other]

Title: A conservative multiscale method for stochastic highly heterogeneous flow

Yiran Wang, Eric Chung, Shubin Fu

Comments: 29 pages

Subjects: Numerical Analysis (math.NA)

[2303] arXiv:2203.11738 [pdf, html, other]

Title: Deformations of some local Calabi-Yau manifolds

Robert Friedman, Radu Laza

Comments: 35 pages, 3 figures; v6 - final version

Journal-ref: Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (November 5, 2024) epiga:10899

Subjects: Algebraic Geometry (math.AG)

[2304] arXiv:2203.11739 [pdf, other]

Title: Spectral Characteristics of Schr\"odinger Operators Generated by Product Systems

David Damanik (Rice University), Jake Fillman (Texas State University), Philipp Gohlke (Universität Bielefeld)

Comments: 47 pages

Subjects: Spectral Theory (math.SP); Mathematical Physics (math-ph); Dynamical Systems (math.DS)

[2305] arXiv:2203.11746 [pdf, other]

Title: Rough Solutions of the Relativistic Euler Equations

Sifan Yu

Comments: arXiv admin note: text overlap with arXiv:1909.02550 by other authors

Subjects: Analysis of PDEs (math.AP)

[2306] arXiv:2203.11749 [pdf, other]

Title: Global existence and blow-up for a stochastic transport equation with non-local velocity

Diego Alonso-Orán, Yingting Miao, Hao Tang

Comments: 32 pages

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

[2307] arXiv:2203.11750 [pdf, other]

Title: Variants of the de Jong fundamental group

Piotr Achinger, Marcin Lara, Alex Youcis

Comments: 19 pages. Comments welcome! This is the second part of the paper arXiv:2105.05184v3 which was split off the original article "Geometric arcs and fundamental groups of rigid spaces" (arXiv:2105.05184v2) in the review process and then revised

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

[2308] arXiv:2203.11755 [pdf, other]

Title: A Jacobi Symbol Criterion Involving $k$-Fibonacci and $k$-Lucas numbers and Integer Points on Elliptic Curves

Gérsica Freitas, Jean Lelis, Elaine Silva

Subjects: Number Theory (math.NT)

[2309] arXiv:2203.11758 [pdf, other]

Title: Linear convergence of a policy gradient method for some finite horizon continuous time control problems

Christoph Reisinger, Wolfgang Stockinger, Yufei Zhang

Comments: Highlight the importance of the gradient direction on the convergence analysis on page 8

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

[2310] arXiv:2203.11760 [pdf, other]

Title: Quotients of skew morphisms of cyclic groups

Martin Bachratý

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

[2311] arXiv:2203.11761 [pdf, other]

Title: Tilings of a Honeycomb Strip and Higher Order Fibonacci Numbers

Tomislav Došlić, Luka Podrug

Subjects: Combinatorics (math.CO)

[2312] arXiv:2203.11763 [pdf, other]

Title: Relaxation in one-dimensional tropical sandpile

Mikhail Shkolnikov

Journal-ref: Communications in Mathematics, Volume 31 (2023), Issue 3 (Special issue: in memory of Sergei Duzhin) (September 26, 2023) cm:10483

Subjects: Combinatorics (math.CO); Adaptation and Self-Organizing Systems (nlin.AO)

[2313] arXiv:2203.11770 [pdf, other]

Title: Open Covers and Lex Points of Hilbert schemes over quotient rings via relative marked bases

Cristina Bertone, Francesca Cioffi, Matthias Orth, Werner M. Seiler

Comments: 27 pages, comments are welcome

Journal-ref: Experimental Mathematics, 2024

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

[2314] arXiv:2203.11782 [pdf, other]

Title: On a workflow for efficient computation of the permeability of tight sandstones

Vladislav Pimanov, Vladislav Lukoshkin, Pavel Toktaliev, Oleg Iliev, Ekaterina Muravleva, Denis Orlov, Vladislav Krutko, Alexander Avdonin, Konrad Steiner, Dmitry Koroteev

Subjects: Numerical Analysis (math.NA)

[2315] arXiv:2203.11786 [pdf, other]

Title: Algebraic degree of series of reciprocal algebraic integers

Mathias Løkkegaard Laursen

Comments: 15 pages

Subjects: Number Theory (math.NT)

[2316] arXiv:2203.11793 [pdf, other]

Title: A Perspective on Neural Capacity Estimation: Viability and Reliability

Farhad Mirkarimi, Stefano Rini, Nariman Farsad

Comments: 33 pages, 9 figures, under revison for possible journal publication

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

[2317] arXiv:2203.11796 [pdf, other]

Title: Double integral estimates for Besov type spaces and their applications

Guanlong Bao, Juntao Du, Hasi Wulan

Comments: V2, made some corrections on V1 and added some results

Subjects: Complex Variables (math.CV)

[2318] arXiv:2203.11800 [pdf, other]

Title: Asymptotic estimates for concentrated vortex pairs

Guodong Wang

Comments: vorticity was assumed to be only in $L^p, p>2$ in this version

Subjects: Analysis of PDEs (math.AP)

[2319] arXiv:2203.11801 [pdf, other]

Title: Computing the space of differential forms of a plane curve and its Cartier-Manin matrix

Momonari Kudo, Shushi Harashita

Comments: 27 pages, Comments are welcome

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

[2320] arXiv:2203.11804 [pdf, other]

Title: Information-Theoretic Approaches to Differential Privacy

Ayse Unsal, Melek Onen

Subjects: Information Theory (cs.IT)

[2321] arXiv:2203.11806 [pdf, other]

Title: Cogroupoid structures on the circle and the Hodge degeneration

Tasos Moulinos

Comments: 31 pages; to appear in Forum of Mathematics, Sigma

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

[2322] arXiv:2203.11811 [pdf, html, other]

Title: The geometry of Riemannian curvature radii

Eugenio Bellini

Comments: 36 pages

Journal-ref: Journal of dynamical and Control Systems 29, (2023), 1829-1853

Subjects: Differential Geometry (math.DG)

[2323] arXiv:2203.11813 [pdf, other]

Title: Weight distributions of two classes of linear codes based on Gaussian period and Weil sums

Xina Zhang

Subjects: Information Theory (cs.IT)

[2324] arXiv:2203.11822 [pdf, other]

Title: Extensions of exact and K-mixing dynamical systems

Daniele Galli, Marco Lenci

Comments: 19 pages, 6 figures. Post-publication. Fixed minor imprecisions in Thms. 2.3 + 2.5, (iv) + (vi) and Prop. 4.1

Journal-ref: J. Stat. Phys. 190 (2023), no. 1, Paper No. 21, 15 pp

Subjects: Dynamical Systems (math.DS); Mathematical Physics (math-ph)

[2325] arXiv:2203.11829 [pdf, other]

Title: Provable Constrained Stochastic Convex Optimization with XOR-Projected Gradient Descent

Fan Ding, Yijie Wang, Jianzhu Ma, Yexiang Xue

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

[2326] arXiv:2203.11830 [pdf, other]

Title: Conformal Bootstrap on the Annulus in Liouville CFT

Baojun Wu

Comments: Add Remark 6.2, modify Lemma 6.5 about Fusion estimate. arXiv admin note: substantial text overlap with arXiv:2112.14859 by other authors

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

[2327] arXiv:2203.11833 [pdf, other]

Title: On well-posedness of quantum fluid systems in the class of dissipative solutions

Danica Basarić, Tong Tang

Subjects: Analysis of PDEs (math.AP)

[2328] arXiv:2203.11837 [pdf, other]

Title: Gain and phase type multipliers for structured feedback robustness

Axel Ringh, Xin Mao, Wei Chen, Li Qiu, Sei Zhen Khong

Comments: 13 pages

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

[2329] arXiv:2203.11839 [pdf, other]

Title: Piecewise discretization of monodromy operators of delay equations on adapted meshes

Dimitri Breda, Davide Liessi, Rossana Vermiglio

Comments: This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Journal of Computational Dynamics following peer review

Subjects: Numerical Analysis (math.NA)

[2330] arXiv:2203.11844 [pdf, other]

Title: Spatial ecology, optimal control and game theoretical fishing problems

Idriss Mazari, Domènec Ruiz-Balet

Subjects: Optimization and Control (math.OC); Analysis of PDEs (math.AP)

[2331] arXiv:2203.11845 [pdf, other]

Title: Dualities in the complicial model of $\infty$-categories

Félix Loubaton

Comments: This text is still in draft form. A new version should quickly replace this one

Subjects: Category Theory (math.CT)

[2332] arXiv:2203.11854 [pdf, other]

Title: Sionna: An Open-Source Library for Next-Generation Physical Layer Research

Jakob Hoydis, Sebastian Cammerer, Fayçal Ait Aoudia, Avinash Vem, Nikolaus Binder, Guillermo Marcus, Alexander Keller

Comments: 5 pages, 1 figure, 4 code listings

Subjects: Information Theory (cs.IT); Artificial Intelligence (cs.AI); Machine Learning (cs.LG)

[2333] arXiv:2203.11855 [pdf, other]

Title: Class Field Theory and Arithmetic of Abelian Varieties over Local Fields

Christopher Stephen Hall

Comments: 15 pages, 2 figures, edited version will be part of my PhD thesis

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

[2334] arXiv:2203.11863 [pdf, other]

Title: Integrality Gaps for Random Integer Programs via Discrepancy

Sander Borst, Daniel Dadush, Dan Mikulincer

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

[2335] arXiv:2203.11869 [pdf, other]

Title: An Optimal Transport Formulation of Bayes' Law for Nonlinear Filtering Algorithms

Amirhossein Taghvaei, Bamdad Hosseini

Subjects: Optimization and Control (math.OC); Systems and Control (eess.SY); Machine Learning (stat.ML)

[2336] arXiv:2203.11870 [pdf, other]

Title: Galois Covers of Singular Curves in Positive Characteristics

Soumyadip Das

Comments: 27 pages; comments are welcome!

Subjects: Algebraic Geometry (math.AG)

[2337] arXiv:2203.11875 [pdf, other]

Title: Condensed interior-point methods: porting reduced-space approaches on GPU hardware

François Pacaud, Sungho Shin, Michel Schanen, Daniel Adrian Maldonado, Mihai Anitescu

Comments: 21 pages, 3 figures, 2 tables

Subjects: Optimization and Control (math.OC)

[2338] arXiv:2203.11877 [pdf, other]

Title: Co-evolving dynamic networks

Sayan Banerjee, Shankar Bhamidi, Xiangying Huang

Comments: 60 pages. To appear in Prob. Th. Rel. Flds

Subjects: Probability (math.PR)

[2339] arXiv:2203.11879 [pdf, other]

Title: Exponential Convergence of $hp$-Time-Stepping in Space-Time Discretizations of Parabolic PDEs

Ilaria Perugia, Christoph Schwab, Marco Zank

Comments: 42 pages

Subjects: Numerical Analysis (math.NA)

[2340] arXiv:2203.11885 [pdf, other]

Title: Biased $2 \times 2$ periodic Aztec diamond and an elliptic curve

Alexei Borodin, Maurice Duits

Comments: Minor corrections. 50 pages, 18 figures

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

[2341] arXiv:2203.11886 [pdf, other]

Title: Counting Abelian Squares More Efficiently

Ryan S. Bennink

Comments: 6 pages, 2 figures

Subjects: Combinatorics (math.CO)

[2342] arXiv:2203.11895 [pdf, other]

Title: A characterization of the fuzzy fractals generated by an orbital fuzzy iterated function system

Radu Miculescu, Alexandru Mihail, Irina Savu

Subjects: Dynamical Systems (math.DS)

[2343] arXiv:2203.11896 [pdf, other]

Title: Mixing times for the TASEP on the circle

Dominik Schmid, Allan Sly

Comments: 56 pages, 9 figures; substantial revision

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

[2344] arXiv:2203.11901 [pdf, other]

Title: An Information-Theoretic View of Mixed-Delay Traffic in 5G and 6G

Homa Nikbakht, Michèle Wigger, Malcolm Egan, Shlomo Shamai (Shitz), Jean-Marie Gorce, H. Vincent Poor

Subjects: Information Theory (cs.IT)

[2345] arXiv:2203.11911 [pdf, other]

Title: Eigenvalues on Spherically Symmetric Manifolds

Stine Marie Berge

Comments: 18 pages

Subjects: Spectral Theory (math.SP); Analysis of PDEs (math.AP); Differential Geometry (math.DG)

[2346] arXiv:2203.11916 [pdf, other]

Title: Nonrationality and Principal permutation classes: the remaining case

Miklos Bona

Comments: The proof of one crucial result needs extra work

Subjects: Combinatorics (math.CO)

[2347] arXiv:2203.11917 [pdf, other]

Title: A second order upper bound for the ground state energy of a hard-sphere gas in the Gross-Pitaevskii regime

Giulia Basti, Serena Cenatiempo, Alessandro Olgiati, Giulio Pasqualetti, Benjamin Schlein

Comments: Final version, 58 pages

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

[2348] arXiv:2203.11921 [pdf, other]

Title: Equivariant algebraic and semi-algebraic geometry of infinite affine space

Mario Kummer, Cordian Riener

Subjects: Algebraic Geometry (math.AG)

[2349] arXiv:2203.11923 [pdf, other]

Title: Super-resolution of generalized spikes and spectra of confluent Vandermonde matrices

Dmitry Batenkov, Nuha Diab

Comments: 28 pages, 5 figures

Subjects: Numerical Analysis (math.NA)

[2350] arXiv:2203.11927 [pdf, other]

Title: Simplicial chromatic polynomials as Hilbert series of Stanley--Reisner rings

Soohyun Park

Comments: Modified examples following the main results; 19 pages

Subjects: Combinatorics (math.CO); Algebraic Topology (math.AT)