Mathematics

Authors and titles for October 2022

[301] arXiv:2210.01333 [pdf, other]

Title: Average area ratio and normalized total scalar curvature of hyperbolic n-manifolds

Ruojing Jiang

Comments: 28 pages. Comments are welcome!

Subjects: Differential Geometry (math.DG); Dynamical Systems (math.DS)

[302] arXiv:2210.01334 [pdf, other]

Title: Averaging principle for slow-fast systems of rough differential equations via controlled paths

Yuzuru Inahama

Comments: 44 pages, no figure

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

[303] arXiv:2210.01341 [pdf, other]

Title: Safe and Stable Control Synthesis for Uncertain System Models via Distributionally Robust Optimization

Kehan Long, Yinzhuang Yi, Jorge Cortes, Nikolay Atanasov

Subjects: Optimization and Control (math.OC); Robotics (cs.RO)

[304] arXiv:2210.01345 [pdf, other]

Title: Lecture notes on generalized Monge-Amp\`ere equations and subvarieties

Gao Chen

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

[305] arXiv:2210.01350 [pdf, other]

Title: Partial degeneration of finite gap solutions to the Korteweg-de Vries equation: soliton gas and scattering on elliptic background

Marco Bertola, Robert Jenkins, Alexander Tovbis

Comments: 34 pages, 10 figures

Subjects: Mathematical Physics (math-ph); Exactly Solvable and Integrable Systems (nlin.SI)

[306] arXiv:2210.01354 [pdf, other]

Title: Compositions of Multiple Control Barrier Functions Under Input Constraints

Joseph Breeden, Dimitra Panagou

Comments: 9 pages, 7 figures, appearing in 2023 American Control Conference, extended version contains two additional remarks

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

[307] arXiv:2210.01359 [pdf, other]

Title: Tumor boundary instability induced by nutrient consumption and supply

Yu Feng, Min Tang, Xiaoqian Xu, Zhennan Zhou

Comments: 33 pages, 10 figures

Subjects: Analysis of PDEs (math.AP)

[308] arXiv:2210.01366 [pdf, other]

Title: Toric varieties with ample tangent bundle

Kuang-Yu Wu

Comments: 7 pages, 2 figures

Subjects: Algebraic Geometry (math.AG)

[309] arXiv:2210.01373 [pdf, other]

Title: The existence of positive solution for an elliptic problem with critical growth and logarithmic perturbation

Yinbin Deng, Qihan He, Yiqing Pan, Xuexiu Zhong

Subjects: Analysis of PDEs (math.AP)

[310] arXiv:2210.01381 [pdf, other]

Title: On generalization of Breuil--Schraen's $\mathscr{L}$-invariants to $\mathrm{GL}_n$

Zicheng Qian

Comments: 72 pages

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

[311] arXiv:2210.01387 [pdf, other]

Title: Generalized Hukuhara Weak Subdifferential and its Application on Identifying Optimality Conditions for Nonsmooth Interval-valued Functions

Suprova Ghosh, Debdas Ghosh

Comments: 24 Pages

Subjects: Optimization and Control (math.OC)

[312] arXiv:2210.01395 [pdf, other]

Title: Nonpositive Towers in Bing's Neighbourhood

Max Chemtov, Daniel T. Wise

Comments: 7 pages, 2 figures

Subjects: Geometric Topology (math.GT)

[313] arXiv:2210.01396 [pdf, other]

Title: Class field theory, Hasse principles and Picard-Brauer duality for two-dimensional local rings

Takashi Suzuki

Comments: Accepted for publication in Algebraic Geometry. No changes in the text from v3. 48 pages

Journal-ref: Algebraic Geometry 11 (4) (2024) 460--505

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

[314] arXiv:2210.01404 [pdf, other]

Title: An introduction to the categorical p-adic Langlands program

Matthew Emerton, Toby Gee, Eugen Hellmann

Comments: 239 pages. Revised throughout, with 30 pages of new material including examples and pictures

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

[315] arXiv:2210.01405 [pdf, other]

Title: Nonlinear stability of sinusoidal Euler flows on a flat two-torus

Guodong Wang, Bijun Zuo

Comments: Biot-Savart law is corrected

Subjects: Analysis of PDEs (math.AP)

[316] arXiv:2210.01411 [pdf, other]

Title: Higher-Order Asymptotic Properties of Kernel Density Estimator with Global Plug-In and Its Accompanying Pilot Bandwidth

Shunsuke Imai, Yoshihiko Nishiyama

Subjects: Statistics Theory (math.ST)

[317] arXiv:2210.01413 [pdf, other]

Title: Tikhonov Regularization is Optimal Transport Robust under Martingale Constraints

Jiajin Li, Sirui Lin, Jose Blanchet, Viet Anh Nguyen

Comments: Accepted by NeurIPS 2022

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

[318] arXiv:2210.01416 [pdf, other]

Title: Complete pluripolar sets and removable singularities of plurisubharmonic functions

Xieping Wang

Comments: 5 pages

Subjects: Complex Variables (math.CV)

[319] arXiv:2210.01424 [pdf, other]

Title: The endomorphism ring of the trivial module in a localized category

Jon F. Carlson

Comments: 21 pages

Subjects: Representation Theory (math.RT)

[320] arXiv:2210.01429 [pdf, other]

Title: Well-distribution of Polynomial maps on locally compact groups

Tom Meyerovitch

Comments: 18 pages. Incorrect statements from the previous version changed

Subjects: Dynamical Systems (math.DS)

[321] arXiv:2210.01435 [pdf, other]

Title: Certain Coefficient Problems of $\mathcal{S}_{e}^{*}$ and $\mathcal{C}_{e}$

S. Sivaprasad Kumar, Neha Verma

Comments: improved the presentation and removed typos

Subjects: Complex Variables (math.CV)

[322] arXiv:2210.01443 [pdf, other]

Title: Analysis of the rate of convergence of an over-parametrized deep neural network estimate learned by gradient descent

Michael Kohler, Adam Krzyzak

Subjects: Statistics Theory (math.ST)

[323] arXiv:2210.01454 [pdf, other]

Title: Event-Triggered Safe Stabilizing Boundary Control for the Stefan PDE System with Actuator Dynamics

Shumon Koga, Cenk Demir, Miroslav Krstic

Comments: 7 pages, 7 figures, submitted to American Control Conference 2023. arXiv admin note: text overlap with arXiv:2111.01187

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

[324] arXiv:2210.01468 [pdf, other]

Title: Boundedness of some operators on grand generalized weighted Morrey spaces on RD-spaces

Suixin He, Shuangping Tao

Comments: 15 pages

Subjects: Functional Analysis (math.FA)

[325] arXiv:2210.01469 [pdf, other]

Title: Road traffic estimation and distribution-based route selection

Rens Kamphuis, Michel Mandjes, Paulo Serra

Subjects: Optimization and Control (math.OC)

[326] arXiv:2210.01473 [pdf, other]

Title: On the $X$-ray transform of symmetric higher order tensors

David Omogbhe, Kamran Sadiq

Comments: 29 pages. arXiv admin note: text overlap with arXiv:1503.04322

Subjects: Analysis of PDEs (math.AP)

[327] arXiv:2210.01474 [pdf, html, other]

Title: Extremal behavior of stationary marked point processes

Bojan Basrak, Ilya Molchanov, Hrvoje Planinić

Comments: 41 pages, no figures; modified Assumption 5.10, added Example 5.11, and corrected proofs of Propositions 5.12 and 5.13 (5.11 and 5.12 in the previous version); Example 5.7 corrected;

Subjects: Probability (math.PR)

[328] arXiv:2210.01476 [pdf, other]

Title: Learning-based Design of Luenberger Observers for Autonomous Nonlinear Systems

Muhammad Umar B. Niazi, John Cao, Xudong Sun, Amritam Das, Karl Henrik Johansson

Comments: Proceedings of the 2023 American Control Conference (ACC)

Subjects: Optimization and Control (math.OC); Machine Learning (cs.LG); Systems and Control (eess.SY); Dynamical Systems (math.DS)

[329] arXiv:2210.01483 [pdf, other]

Title: A maximal element of a moduli space of Riemannian metrics

Yuichiro Taketomi

Subjects: Differential Geometry (math.DG)

[330] arXiv:2210.01493 [pdf, other]

Title: Tilting quivers for BB-tilted algebras

Hongwei Peng

Comments: 20 pages, final version, (Bull. Lond. Math. Soc. (to appear))

Subjects: Representation Theory (math.RT)

[331] arXiv:2210.01494 [pdf, other]

Title: The strong Brunn--Minkowski inequality and its equivalence with the CD condition

Mattia Magnabosco, Lorenzo Portinale, Tommaso Rossi

Subjects: Metric Geometry (math.MG)

[332] arXiv:2210.01495 [pdf, other]

Title: Quantitative inverse Galois problem for semicommutative finite group schemes

Ratko Darda, Takehiko Yasuda

Comments: Small changes, an appendix added. arXiv admin note: substantial text overlap with arXiv:2207.03642

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

[333] arXiv:2210.01496 [pdf, other]

Title: Zeroth-Order Negative Curvature Finding: Escaping Saddle Points without Gradients

Hualin Zhang, Huan Xiong, Bin Gu

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

[334] arXiv:2210.01497 [pdf, other]

Title: On the distance spectrum and distance-based topological indices of central vertex-edge join of three graphs

Haritha T, Chithra A. V.

Subjects: Combinatorics (math.CO)

[335] arXiv:2210.01499 [pdf, other]

Title: A numerical model preserving nontrivial steady-state solutions for predicting waves run-up on coastal areas

H. Karjoun, A. Beljadid

Subjects: Numerical Analysis (math.NA)

[336] arXiv:2210.01505 [pdf, other]

Title: On strong chains of sets and functions

Tanmay Inamdar

Subjects: Logic (math.LO)

[337] arXiv:2210.01509 [pdf, html, other]

Title: Quarter-symmetric non-metric connection

Miroslav Maksimović

Subjects: Differential Geometry (math.DG)

[338] arXiv:2210.01510 [pdf, other]

Title: On the spectrum of weighted shifts

Emma D'Aniello, Martina Maiuriello

Subjects: Dynamical Systems (math.DS)

[339] arXiv:2210.01514 [pdf, other]

Title: Uphill in reaction-diffusion multi-species interacting particles systems

Francesco Casini, Cristian Giardina, Cecilia Vernia

Comments: 26 pages, 3 figures

Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Probability (math.PR)

[340] arXiv:2210.01516 [pdf, other]

Title: Analysis of Conditional Randomisation and Permutation schemes with application to conditional independence testing

Małgorzata Łazęcka, Bartosz Kołodziejek, Jan Mielniczuk

Comments: 29 pages

Subjects: Statistics Theory (math.ST)

[341] arXiv:2210.01522 [pdf, other]

Title: Notes on Lax Ends

Kengo Hirata

Comments: 20pages

Subjects: Category Theory (math.CT)

[342] arXiv:2210.01524 [pdf, other]

Title: A new class of stochastic processes with great potential for interesting applications

Fulgence Eyi Obiang, Paule Joyce Mbenangoya, Magloire Yorick Nguema MBA, Octave Moutsinga

Comments: 23 pages

Subjects: Probability (math.PR)

[343] arXiv:2210.01532 [pdf, other]

Title: Two Polyak-Type Step Sizes for Mirror Descent

Jun-Kai You, Yen-Huan Li

Comments: 13 pages

Subjects: Optimization and Control (math.OC)

[344] arXiv:2210.01539 [pdf, other]

Title: On braids and links up to link-homotopy

Emmanuel Graff

Comments: Comments are welcome

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

[345] arXiv:2210.01541 [pdf, other]

Title: A correspondence and distance of t-structures

Junhua Zheng

Comments: 13 pages. Any comments are welcome

Subjects: Representation Theory (math.RT); Rings and Algebras (math.RA)

[346] arXiv:2210.01553 [pdf, other]

Title: Uniform $L^\infty$-bounds for energy-conserving higher-order time integrators for the Gross-Pitaevskii equation with rotation

Christian Döding, Patrick Henning

Subjects: Numerical Analysis (math.NA)

[347] arXiv:2210.01565 [pdf, html, other]

Title: Quantitative Algebras and a Classification of Metric Monads

J. Adámek, M. Dostál, J. Velebil

Subjects: Category Theory (math.CT)

[348] arXiv:2210.01566 [pdf, other]

Title: Trace class operators and states in p-adic quantum mechanics

Paolo Aniello, Stefano Mancini, Vincenzo Parisi

Comments: 70 pages; minor changes, typos corrected

Journal-ref: J. Math. Phys. 64 (2023) 053506

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

[349] arXiv:2210.01567 [pdf, other]

Title: Extension bases in Henselian valued fields

Akash Hossain

Comments: 26 pages, no figure, comments welcome

Subjects: Logic (math.LO)

[350] arXiv:2210.01570 [pdf, other]

Title: Wiener index of the Cozero-divisor graph of a finite commutative ring

Barkha Baloda, Praveen Mathil, Jitender Kumar, Aryan Barapatre

Subjects: Combinatorics (math.CO); Rings and Algebras (math.RA)