Mathematics

Authors and titles for January 2022

[1201] arXiv:2201.05255 [pdf, other]

Title: Unstable higher Toda brackets III

Hideaki Oshima, Katsumi Oshima

Comments: Our definition of the higher Toda brackets is not effective, i.e. not well defined, in the category of pointed spaces

Subjects: Algebraic Topology (math.AT)

[1202] arXiv:2201.05260 [pdf, other]

Title: Generic 1-connectivity of flag domains in Hermitian symmetric spaces

Tatsuki Hayama

Comments: 8 pages, to appear in Journal of Lie Theory

Journal-ref: Journal of Lie Theory 32 (2022), No. 2, 553--561

Subjects: Complex Variables (math.CV); Combinatorics (math.CO)

[1203] arXiv:2201.05269 [pdf, other]

Title: On the dual spaces for weighted altered Ces\`aro and Copson spaces

Dmitrii V. Prokhorov

Subjects: Functional Analysis (math.FA)

[1204] arXiv:2201.05274 [pdf, other]

Title: Eikonal depth: an optimal control approach to statistical depths

Martin Molina-Fructuoso, Ryan Murray

Subjects: Statistics Theory (math.ST); Machine Learning (cs.LG); Analysis of PDEs (math.AP); Machine Learning (stat.ML)

[1205] arXiv:2201.05284 [pdf, other]

Title: A robust proof-theoretic well-ordering

James Walsh

Comments: This article has been merged with 2112.04980 to form 2209.09765

Subjects: Logic (math.LO)

[1206] arXiv:2201.05292 [pdf, other]

Title: The maximum degree of a minimally hamiltonian-connected graph

Xingzhi Zhan

Comments: 7 pages, 2 figures

Subjects: Combinatorics (math.CO)

[1207] arXiv:2201.05306 [pdf, other]

Title: Maximal $L_p$-$L_q$ regularity for the Stokes equations with various boundary conditions in the half space

Naoto Kajiwara

Comments: 31 pages

Subjects: Analysis of PDEs (math.AP)

[1208] arXiv:2201.05317 [pdf, html, other]

Title: On Toeplitz graphs being line graphs

Gi-Sang Cheon, Bumtle Kang, Suh-Ryung Kim, Seyed Ahmad Mojallal, Homoon Ryu

Comments: 19 pages, 5 figure

Subjects: Combinatorics (math.CO)

[1209] arXiv:2201.05321 [pdf, other]

Title: On global behavior of a some SIR epidemic model based on the Poincar\'e compactification

Yu Ichida

Comments: 9 pages, 3 figures

Subjects: Dynamical Systems (math.DS)

[1210] arXiv:2201.05323 [pdf, other]

Title: Modelling physiologically structured populations: renewal equations and partial differential equations

Eugenia Franco, Odo Diekmann, Mats Gyllenberg

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

[1211] arXiv:2201.05325 [pdf, other]

Title: Gr\"obner fans of Specht ideals

Hidefumi Ohsugi, Kohji Yanagawa

Comments: Exposition expanded, for example, Lemma 2.9 added. 11 pages, comments welcome

Subjects: Commutative Algebra (math.AC)

[1212] arXiv:2201.05328 [pdf, other]

Title: Nonintegrability of Forced Nonlinear Oscillators

Shoya Motonaga, Kazuyuki Yagasaki

Comments: arXiv admin note: text overlap with arXiv:2109.05727

Subjects: Dynamical Systems (math.DS)

[1213] arXiv:2201.05339 [pdf, other]

Title: Uniformly accurate integrators for Klein-Gordon-Schr\"odinger systems from the classical to non-relativistic limit regime

Maria Cabrera Calvo

Subjects: Numerical Analysis (math.NA)

[1214] arXiv:2201.05342 [pdf, other]

Title: Distributed Q-Learning for Stochastic LQ Control with Unknown Uncertainty

Zhaorong Zhang (1), Juanjuan Xu (1), Xun Li (2) ((1) Shandong University (2) the Hong Kong Polytechnic University)

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

[1215] arXiv:2201.05347 [pdf, other]

Title: Translators of the Gauss curvature flow

Muhittin Evren Aydin, Rafael López

Subjects: Differential Geometry (math.DG)

[1216] arXiv:2201.05350 [pdf, other]

Title: 2-Dimensional Groups with Action : The Category of Crossed Module of Groups with Action

Alper Odabaş, Elis Soylu Yılmaz

Subjects: Category Theory (math.CT); Group Theory (math.GR)

[1217] arXiv:2201.05354 [pdf, other]

Title: Finite Difference formulation of any lattice Boltzmann scheme

Thomas Bellotti, Benjamin Graille, Marc Massot

Subjects: Numerical Analysis (math.NA)

[1218] arXiv:2201.05355 [pdf, other]

Title: Port-Hamiltonian Realizations of Linear Time Invariant Systems

Christopher Beattie, Volker Mehrmann, Hongguo Xu

Subjects: Optimization and Control (math.OC); Numerical Analysis (math.NA)

[1219] arXiv:2201.05357 [pdf, other]

Title: On the $x$-$y$ Symmetry of Correlators in Topological Recursion via Loop Insertion Operator

Alexander Hock

Comments: 26 pages, 11 figures, an assumptions is added to the second version

Journal-ref: Commun. Math. Phys. 405, 166 (2024)

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

[1220] arXiv:2201.05360 [pdf, other]

Title: Optimal control problems with $L^0(\Omega)$ constraints: maximum principle and proximal gradient method

Daniel Wachsmuth

Subjects: Optimization and Control (math.OC)

[1221] arXiv:2201.05361 [pdf, other]

Title: Pivotality, twisted centres and the anti-double of a Hopf monad

Sebastian Halbig, Tony Zorman

Comments: 64 pages, 65 figures; section 5 of v1 was split off into a separate article

Journal-ref: Theory and Applications of Categories, Vol. 41, 2024, No. 4, pp 86--149

Subjects: Quantum Algebra (math.QA); Category Theory (math.CT)

[1222] arXiv:2201.05365 [pdf, other]

Title: Tridendriform algebras on hypergraph polytopes

Pierre-Louis Curien, Bérénice Delcroix-Oger, Jovana Obradović

Comments: 30 pages

Subjects: Combinatorics (math.CO)

[1223] arXiv:2201.05377 [pdf, html, other]

Title: Localization of a one-dimensional simple random walk among power-law renewal obstacles

Julien Poisat (CEREMADE), Francois Simenhaus (CEREMADE)

Subjects: Probability (math.PR)

[1224] arXiv:2201.05378 [pdf, other]

Title: New q-supercongruences from the Bailey transformation

Xiaoxia Wang, Chang Xu

Subjects: Number Theory (math.NT)

[1225] arXiv:2201.05380 [pdf, other]

Title: A uniform Linnik basic lemma and entropy bounds

Andreas Wieser, Pengyu Yang

Comments: 44 pages

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

[1226] arXiv:2201.05394 [pdf, other]

Title: Shape Optimization with Nonlinear Conjugate Gradient Methods

Sebastian Blauth

Journal-ref: Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2020+1, Lecture Notes in Computational Science and Engineering 137

Subjects: Optimization and Control (math.OC); Differential Geometry (math.DG)

[1227] arXiv:2201.05395 [pdf, other]

Title: De Rham compatible Deep Neural Network FEM

Marcello Longo, Joost A. A. Opschoor, Nico Disch, Christoph Schwab, Jakob Zech

Subjects: Numerical Analysis (math.NA); Machine Learning (cs.LG)

[1228] arXiv:2201.05404 [pdf, other]

Title: Reduced order modeling for spectral element methods: current developments in Nektar++ and further perspectives

Martin W. Hess, Andrea Lario, Gianmarco Mengaldo, Gianluigi Rozza

Subjects: Numerical Analysis (math.NA)

[1229] arXiv:2201.05407 [pdf, other]

Title: An inverse problem for semilinear equations involving the fractional Laplacian

Pu-Zhao Kow, Shiqi Ma, Suman Kumar Sahoo

Comments: 25 pages

Subjects: Analysis of PDEs (math.AP)

[1230] arXiv:2201.05413 [pdf, other]

Title: Evaluating Accuracy and Efficiency of HPC Solvers for Sparse Linear Systems with Applications to PDEs

Antonella Galizia, Simone Cammarasana, Andrea Clematis, Giuseppe Patane'

Subjects: Numerical Analysis (math.NA); Performance (cs.PF)

[1231] arXiv:2201.05414 [pdf, other]

Title: Identification of unbounded electric potentials through asymptotic boundary spectral data

Mourad Bellassoued, Yavar Kian, Yosra Mannoubi, Eric Soccorsi

Subjects: Analysis of PDEs (math.AP)

[1232] arXiv:2201.05416 [pdf, other]

Title: Delocalized spectra of Landau operators on helical surfaces

Yosuke Kubota, Matthias Ludewig, Guo Chuan Thiang

Comments: 35 pages, 1 figure, new Background section added, to appear in CMP

Journal-ref: Comm.Math.Phys. 395 (2022) 1211-1242

Subjects: Mathematical Physics (math-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); K-Theory and Homology (math.KT); Spectral Theory (math.SP)

[1233] arXiv:2201.05417 [pdf, other]

Title: Classification of conformal solitons in pseudo-Euclidean spaces

Burcu Bektaş Demirci, Shunya Fujii, Shun Maeta

Comments: 11 pages. arXiv admin note: substantial text overlap with arXiv:2009.13255

Subjects: Differential Geometry (math.DG)

[1234] arXiv:2201.05422 [pdf, html, other]

Title: Spectral transformation associated with a perturbed $R_I$ type recurrence relation

Vinay Shukla, A. Swaminathan

Comments: 23 pages, 6 figures

Subjects: Classical Analysis and ODEs (math.CA)

[1235] arXiv:2201.05423 [pdf, other]

Title: A skew-symmetric energy and entropy stable formulation of the compressible Euler equations

Jan Nordström

Journal-ref: Journal of Computational Physics 2022

Subjects: Analysis of PDEs (math.AP); Numerical Analysis (math.NA)

[1236] arXiv:2201.05424 [pdf, other]

Title: The enumerative geometry of cubic hypersurfaces: point and line conditions

Mara Belotti, Alessandro Danelon, Claudia Fevola, Andreas Kretschmer

Comments: 33 pages, comments welcome!

Subjects: Algebraic Geometry (math.AG)

[1237] arXiv:2201.05441 [pdf, other]

Title: Construction of Strong-Uniform Fuzzy Partitions of Arbitrary Dimensions

Zhi Zeng, Ting Wang

Subjects: General Mathematics (math.GM)

[1238] arXiv:2201.05447 [pdf, other]

Title: Non-linear periodic waves on the Einstein cylinder

Athanasios Chatzikaleas, Jacques Smulevici

Comments: 90 pages, 10 figures, Mathematica files added as ancillary

Journal-ref: Analysis & PDE 17 (2024) 2311-2378

Subjects: Analysis of PDEs (math.AP); General Relativity and Quantum Cosmology (gr-qc)

[1239] arXiv:2201.05470 [pdf, other]

Title: Vector calculus in two-dimensional space

Marián Fecko

Comments: 14 pages, 1 figure

Journal-ref: Kvaternion, 1-2, 19-30 (in Slovak), (2021)

Subjects: History and Overview (math.HO)

[1240] arXiv:2201.05474 [pdf, other]

Title: Asymmetric Burkholder inequalities in noncommutative symmetric spaces

Lian Wu, Runlian Xia, Dejian Zhou

Subjects: Operator Algebras (math.OA); Functional Analysis (math.FA)

[1241] arXiv:2201.05475 [pdf, other]

Title: SympOCnet: Solving optimal control problems with applications to high-dimensional multi-agent path planning problems

Tingwei Meng, Zhen Zhang, Jérôme Darbon, George Em Karniadakis

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

[1242] arXiv:2201.05476 [pdf, other]

Title: Stable and unstable flow regimes for active fluids in the periodic setting

Christiane Bui, Christian Gesse, Jürgen Saal

Subjects: Analysis of PDEs (math.AP)

[1243] arXiv:2201.05478 [pdf, other]

Title: Towards a Semantic Information Theory (Introducing Quantum Corollas)

Philip Tetlow, Dinesh Garg, Leigh Chase, Mark Mattingley-Scott, Nicholas Bronn, Kugendran Naidoo, Emil Reinert

Subjects: Information Theory (cs.IT); Quantum Physics (quant-ph)

[1244] arXiv:2201.05480 [pdf, other]

Title: Quantum Control at the Boundary

Aitor Balmaseda

Comments: PhD thesis, based partly on arXiv:2108.00495

Subjects: Mathematical Physics (math-ph); Functional Analysis (math.FA); Optimization and Control (math.OC); Quantum Physics (quant-ph)

[1245] arXiv:2201.05481 [pdf, other]

Title: On extra-special Enriques surfaces

Gebhard Martin, Giacomo Mezzedimi, Davide Cesare Veniani

Comments: 9 pages

Journal-ref: Math. Ann. 387, 133--143 (2023)

Subjects: Algebraic Geometry (math.AG)

[1246] arXiv:2201.05482 [pdf, other]

Title: A regular interpolation problem and its applications

Nilkantha Das

Comments: 9 pages. To appear in Comm. Algebra

Subjects: Algebraic Geometry (math.AG)

[1247] arXiv:2201.05485 [pdf, other]

Title: The random cluster model on the complete graph via large deviations

Darion Mayes

Comments: 25 pages, no figures

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

[1248] arXiv:2201.05487 [pdf, other]

Title: Applications of Grassmannian flows to coagulation systems

Anastasia Doikou, Simon J.A. Malham, Ioannis Stylianidis, Anke Wiese

Comments: 16 pages. This is now a shorter, more focused, version of the previous manuscript. Some new material has been added in the final main section. arXiv admin note: substantial text overlap with arXiv:1905.05035

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

[1249] arXiv:2201.05488 [pdf, other]

Title: Stabilizing Error Correction Codes for Controlling LTI Systems over Erasure Channels

Jan Østergaard

Comments: Accepted and presented at the IEEE 60th Conference on Decision and Control (CDC). arXiv admin note: substantial text overlap with arXiv:2112.11717

Subjects: Information Theory (cs.IT); Optimization and Control (math.OC)

[1250] arXiv:2201.05498 [pdf, other]

Title: Convergence of an Asynchronous Block-Coordinate Forward-Backward Algorithm for Convex Composite Optimization

Cheik Traoré, Saverio Salzo, Silvia Villa

Subjects: Optimization and Control (math.OC); Distributed, Parallel, and Cluster Computing (cs.DC)