Mathematics

Authors and titles for July 2022

[2001] arXiv:2207.09396 [pdf, other]

Title: Parametric models and information geometry on W*-algebras

Florio M. Ciaglia, Fabio Di Nocera, Jürgen Jost, Lorenz Schwachhöfer

Comments: 24 pages. Comments are welcome!

Journal-ref: Information geometry, Special Issue: Half a Century of Information Geometry, 2023

Subjects: Mathematical Physics (math-ph); Quantum Physics (quant-ph)

[2002] arXiv:2207.09398 [pdf, other]

Title: Positivity-Preserving Well-Balanced Central Discontinuous Galerkin Schemes for the Euler Equations under Gravitational Fields

Haili Jiang, Huazhong Tang, Kailiang Wu

Comments: 57 pages

Subjects: Numerical Analysis (math.NA); Instrumentation and Methods for Astrophysics (astro-ph.IM); Computational Physics (physics.comp-ph); Fluid Dynamics (physics.flu-dyn)

[2003] arXiv:2207.09400 [pdf, other]

Title: Derivative of a hypergraph as a tool for linguistic pattern analysis

Angeles Criado-Alonso, David Aleja, Miguel Romance, Regino Criado

Subjects: Combinatorics (math.CO); Physics and Society (physics.soc-ph)

[2004] arXiv:2207.09401 [pdf, other]

Title: Properties of the gradient squared of the discrete Gaussian free field

Alessandra Cipriani, Rajat S. Hazra, Alan Rapoport, Wioletta M. Ruszel

Comments: 32 pages, 1 figure

Journal-ref: J Stat Phys 190, 171 (2023)

Subjects: Probability (math.PR)

[2005] arXiv:2207.09403 [pdf, other]

Title: A General Wasserstein Framework for Data-driven Distributionally Robust Optimization: Tractability and Applications

Jonathan Yu-Meng Li, Tiantian Mao

Subjects: Optimization and Control (math.OC)

[2006] arXiv:2207.09406 [pdf, other]

Title: A Level Set Kalman Filter Approach to Estimate the Circadian Phase and its Uncertainty from Wearable Data

Dae Wook Kim, Minki P. Lee, Daniel B. Forger

Subjects: Dynamical Systems (math.DS)

[2007] arXiv:2207.09409 [pdf, other]

Title: Tur\'an Inequalities for Infinite Product Generating Functions

Bernhard Heim, Markus Neuhauser

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

[2008] arXiv:2207.09410 [pdf, other]

Title: An Elementary Proof of a Theorem of Hardy and Ramanujan

Asaf Cohen Antonir, Asaf Shapira

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

[2009] arXiv:2207.09417 [pdf, other]

Title: Multiple solutions and profile description for a nonlinear Schr\"odinger-Bopp-Podolsky-Proca system on a manifold

Pietro d'Avenia, Marco G. Ghimenti

Comments: 26 pages

Subjects: Analysis of PDEs (math.AP)

[2010] arXiv:2207.09427 [pdf, other]

Title: Common graphs with arbitrary connectivity and chromatic number

Sejin Ko, Joonkyung Lee

Comments: 6 pages

Subjects: Combinatorics (math.CO)

[2011] arXiv:2207.09451 [pdf, other]

Title: Balancing polynomials, Fibonacci numbers and some new series for $\pi$

Robert Frontczak, Kalika Prasad

Comments: 16 pages, 5 tables

Subjects: Number Theory (math.NT); Discrete Mathematics (cs.DM); Combinatorics (math.CO)

[2012] arXiv:2207.09452 [pdf, html, other]

Title: An explicit version of Chen's theorem

Matteo Bordignon, Daniel R. Johnston, Valeriia Starichkova

Subjects: Number Theory (math.NT)

[2013] arXiv:2207.09488 [pdf, html, other]

Title: Homological invariants of generalized bound path algebras

Viktor Chust, Flávio U. Coelho

Comments: arXiv admin note: substantial text overlap with arXiv:2112.12174

Subjects: Representation Theory (math.RT)

[2014] arXiv:2207.09489 [pdf, other]

Title: First-countable Lindel\"of scattered spaces

Taras Banakh, Will Brian, Alejandro Ríos-Herrejón

Subjects: General Topology (math.GN)

[2015] arXiv:2207.09495 [pdf, other]

Title: Normalisers of maximal tori and a conjecture of Vdovin

Timothy C. Burness, Adam R. Thomas

Comments: 33 pages; to appear in J Algebra

Subjects: Group Theory (math.GR)

[2016] arXiv:2207.09513 [pdf, other]

Title: Canonical integral models for Shimura varieties of toral type

Patrick Daniels

Comments: Many minor revisions. 36 pages

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

[2017] arXiv:2207.09516 [pdf, other]

Title: Evaluation of the convolution sums $W_{1,42}(n),$ $W_{2,21}(n),$ $W_{3,14}(n)$ and $W_{6,7}(n)$

Bülent Köklüce

Subjects: Number Theory (math.NT)

[2018] arXiv:2207.09518 [pdf, other]

Title: Non-power law constant flux solutions for the Smoluchowski coagulation equation

Marina A. Ferreira, Jani Lukkarinen, Alessia Nota, Juan J. L. Velázquez

Comments: 35 pages

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

[2019] arXiv:2207.09522 [pdf, other]

Title: A dualization approach to the Ground State Subspace Classification of Abelian Higher Gauge Symmetry Models

J. Lorca Espiro

Subjects: Mathematical Physics (math-ph); Other Condensed Matter (cond-mat.other); High Energy Physics - Lattice (hep-lat); Quantum Physics (quant-ph)

[2020] arXiv:2207.09532 [pdf, other]

Title: Bounding the number of lattice points near a convex curve by curvature

Ralph Howard, Ognian Trifonov

Subjects: Number Theory (math.NT)

[2021] arXiv:2207.09541 [pdf, other]

Title: A Normal Test for Independence via Generalized Mutual Information

Jialin Zhang, Zhiyi Zhang

Subjects: Statistics Theory (math.ST)

[2022] arXiv:2207.09544 [pdf, other]

Title: Some Adaptive First-order Methods for Variational Inequalities with Relatively Strongly Monotone Operators and Generalized Smoothness

A. A. Titov, S. S. Ablaev, M. S. Alkousa, F. S. Stonyakin, A. V. Gasnikov

Subjects: Optimization and Control (math.OC)

[2023] arXiv:2207.09546 [pdf, other]

Title: The Weil descent functor in the category of algebras with free operators

Shezad Mohamed

Comments: 32 pages. This version contains a different proof of the main theorem (section 5). A sketch of the original proof now appears in the appendix

Subjects: Algebraic Geometry (math.AG)

[2024] arXiv:2207.09552 [pdf, other]

Title: New estimates for $d_{2,1}$ and $d_{3,2}$

Arkadiy Aliev

Comments: 9 pages, 2 figures

Subjects: Metric Geometry (math.MG)

[2025] arXiv:2207.09556 [pdf, other]

Title: Solubility of Additive Forms of Twice Odd Degree over $\mathbb{Q}_2(\sqrt{5})$

Drew Duncan, David B. Leep

Subjects: Number Theory (math.NT)

[2026] arXiv:2207.09557 [pdf, other]

Title: A review on recent advances in scenario aggregation methods for power system analysis

Aiusha Sangadiev, Alvaro Gonzalez-Castellanos, David Pozo

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

[2027] arXiv:2207.09559 [pdf, other]

Title: Ground States for Infrared Renormalized Translation-Invariant Non-Relativistic QED

David Hasler, Oliver Siebert

Comments: 42 pages

Journal-ref: Ann. Henri Poincar\'e (2024)

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

[2028] arXiv:2207.09573 [pdf, other]

Title: Consistency of the Bayes Estimator of a Regression Curve

Agustin G. Nogales

Comments: arXiv admin note: substantial text overlap with arXiv:2206.12379, arXiv:2110.13427

Subjects: Statistics Theory (math.ST)

[2029] arXiv:2207.09574 [pdf, other]

Title: The index of self-adjoint Shapiro-Lopatinskii boundary problems of order one

Nikolai V. Ivanov

Comments: 120 pages. The second version substantially expands the first one. A theory of multiplicative properties of symbols and operators is added, the index theorem is proved in full generality, and realizations of symbols are related to the theory of boundary triplets. The third version differs by minor corrections and improvements

Subjects: Differential Geometry (math.DG); K-Theory and Homology (math.KT)

[2030] arXiv:2207.09576 [pdf, other]

Title: Relative Nakayama-Zariski decomposition and minimal models of generalized pairs

Jihao Liu, Lingyao Xie

Comments: 39 pages. Final Version. Correction made in Section 3. Main theorems remain unaffected. To appear in Peking Math. J

Subjects: Algebraic Geometry (math.AG)

[2031] arXiv:2207.09578 [pdf, other]

Title: Twisted conformal blocks and their dimension

Jiuzu Hong, Shrawan Kumar

Comments: 28 pages

Subjects: Representation Theory (math.RT); Mathematical Physics (math-ph); Algebraic Geometry (math.AG)

[2032] arXiv:2207.09581 [pdf, other]

Title: Nilpotent Higgs bundles and families of flat connections

Sebastian Schulz

Comments: 41 pages. Comments welcome

Subjects: Differential Geometry (math.DG); Algebraic Geometry (math.AG)

[2033] arXiv:2207.09583 [pdf, other]

Title: The Blume-Emery-Griffiths model at the FAD and AD interfaces

Paulo C. Lima, Riccardo Mariani, Aldo Procacci, Benedetto Scoppola

Journal-ref: Journal of Statistical Physics, 190, Article number: 170 (2023)

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

[2034] arXiv:2207.09585 [pdf, other]

Title: On differential equations of integrable billiard tables

Vladimir Dragović, Andrey E. Mironov

Comments: 9 pages, 2 figures

Subjects: Dynamical Systems (math.DS); Differential Geometry (math.DG); Exactly Solvable and Integrable Systems (nlin.SI)

[2035] arXiv:2207.09587 [pdf, other]

Title: Robust Data-Driven Control for Systems with Noisy Data

Chin-Yao Chang, Andrey Bernstein

Subjects: Optimization and Control (math.OC)

[2036] arXiv:2207.09588 [pdf, other]

Title: New Auction Algorithms for Path Planning, Network Transport, and Reinforcement Learning

Dimitri Bertsekas

Subjects: Optimization and Control (math.OC); Artificial Intelligence (cs.AI); Data Structures and Algorithms (cs.DS); Computer Science and Game Theory (cs.GT)

[2037] arXiv:2207.09596 [pdf, other]

Title: An exotic calculus of Berezin-Toeplitz operators

Izak Oltman

Comments: 48 pages, 2 figures

Subjects: Complex Variables (math.CV); Mathematical Physics (math-ph); Symplectic Geometry (math.SG)

[2038] arXiv:2207.09599 [pdf, other]

Title: A probabilistic Weyl-law for perturbed Berezin-Toeplitz operators

Izak Oltman

Comments: 25 pages, 3 figures

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

[2039] arXiv:2207.09606 [pdf, other]

Title: A Novel Potential Featuring Off-Center Circular Orbits

Maxim Olshanii

Journal-ref: SIGMA 19 (2023), 001, 8 pages

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

[2040] arXiv:2207.09614 [pdf, other]

Title: Adaptive Partition of Unity Interpolation Method with Moving Patches

Alfa Heryudono, Mehdi Raessi

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

[2041] arXiv:2207.09617 [pdf, other]

Title: On the Smallest Number of Functions Representing Isotropic Functions of Scalars, Vectors and Tensors

M.H.B.M. Shariff

Comments: 17 pages, 0 figures

Subjects: General Mathematics (math.GM)

[2042] arXiv:2207.09620 [pdf, other]

Title: An ergodic approach towards an equidistribution result of Ferrero--Washington

Jungwon Lee, Bharathwaj Palvannan

Comments: 24 pages

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

[2043] arXiv:2207.09622 [pdf, other]

Title: Natural Thresholding Algorithms for Signal Recovery with Sparsity

Yun-Bin Zhao, Zhi-Quan Luo

Subjects: Information Theory (cs.IT)

[2044] arXiv:2207.09623 [pdf, other]

Title: On property-$\bm{(R_1)}$ and relative Chebyshev centers in Banach spaces-II

Syamantak Das, Tanmoy Paul

Journal-ref: Quaestiones Mathematicae 46(7) 2023

Subjects: Functional Analysis (math.FA)

[2045] arXiv:2207.09626 [pdf, other]

Title: Ultrahomogeneous tensor spaces

Nate Harman, Andrew Snowden

Comments: 33 pages

Subjects: Logic (math.LO); Representation Theory (math.RT)

[2046] arXiv:2207.09630 [pdf, other]

Title: On singularities of the Gauss map components of surfaces in ${\mathbb R}^4$

W. Domitrz, L. I. Hernández-Martínez, F. Sánchez-Bringas

Comments: 27 pages, 1 figures

Subjects: Differential Geometry (math.DG)

[2047] arXiv:2207.09631 [pdf, other]

Title: Well posedness and limit theorems for a class of stochastic dyadic models

Dejun Luo, Danli Wang

Comments: 35 pages

Journal-ref: SIAM Journal on Mathematical Analysis 55 (2023), no. 2, 1464-1498

Subjects: Probability (math.PR)

[2048] arXiv:2207.09637 [pdf, other]

Title: Kernel representation formula from complex to real Wiener-Ito integrals and vice versa

Huiping Chen, Yong Chen, Yong Liu

Subjects: Probability (math.PR)

[2049] arXiv:2207.09642 [pdf, other]

Title: Compositions and parities of complete mappings and of orthomorphisms

Alexander Bors, Qiang Wang

Comments: 50 pages

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

[2050] arXiv:2207.09651 [pdf, other]

Title: Approximate Methods for Solving Chance Constrained Linear Programs in Probability Measure Space

Xun Shen, Satoshi Ito

Subjects: Optimization and Control (math.OC)