Spectral Theory

Authors and titles for math.SP in Jan 2022, skipping first 25

[26]  arXiv:2201.02482 (cross-list from math.AP) [pdf, ps, other]

Title: Hardy inequalities for magnetic $p$-Laplacians

Authors: Cristian Cazacu, David Krejcirik, Nguyen Lam, Ari Laptev

Comments: Some of the conjectures from the previous version resolved with help of the new author added

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

[27]  arXiv:2201.02720 (cross-list from math.CO) [pdf, ps, other]

Title: Quantum state transfer between twins in weighted graphs

Authors: Stephen Kirkland, Hermie Monterde, Sarah Plosker

Comments: 23 pages, 1 figure

Journal-ref: J. Algebr. Comb. 58, 623-649 (2023)

Subjects: Combinatorics (math.CO); Spectral Theory (math.SP); Quantum Physics (quant-ph)

[28]  arXiv:2201.03140 (cross-list from math.AP) [pdf, other]

Title: Propagation of singularities and Fredholm analysis for the time-dependent Schrödinger equation

Authors: Jesse Gell-Redman, Sean Gomes, Andrew Hassell

Comments: 63 pages, 3 figures

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

[29]  arXiv:2201.03429 (cross-list from math.PR) [pdf, ps, other]

Title: Large Deviations for Ablowitz-Ladik lattice, and the Schur flow

Authors: Guido Mazzuca, Ronan Memin

Comments: 28 pages

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

[30]  arXiv:2201.04454 (cross-list from math.NT) [pdf, other]

Title: Fourier expansions of vector-valued automorphic functions with non-unitary twists

Authors: Ksenia Fedosova, Anke Pohl, Julie Rowlett

Comments: 54 pages, 3 figures; v2: introduction restructured, some additional explanations throughout

Journal-ref: Communications in Number Theory and Physics, Vol. 17, No. 1, p. 173-248, (2023)

Subjects: Number Theory (math.NT); Spectral Theory (math.SP)

[31]  arXiv:2201.04743 (cross-list from math.AP) [pdf, ps, other]

Title: A Green's function for the source-free Maxwell equations on $AdS^5 \times \mathbb{S}^2 \times \mathbb{S}^3$

Authors: Damien Gobin, Niky Kamran

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

[32]  arXiv:2201.05416 (cross-list from math-ph) [pdf, ps, other]

Title: Delocalized spectra of Landau operators on helical surfaces

Authors: 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)

[33]  arXiv:2201.05949 (cross-list from math.FA) [pdf, ps, other]

Title: A bridge between Vector Bundle Theory and Nonlinear Spectral Theory

Authors: Julián López-Gómez, Juan Carlos Sampedro

Subjects: Functional Analysis (math.FA); K-Theory and Homology (math.KT); Spectral Theory (math.SP)

[34]  arXiv:2201.07278 (cross-list from math.FA) [pdf, ps, other]

Title: Functons of perturbed pairs of dissipative operators

Authors: Aleksei Aleksandrov, Vladimir Peller

Comments: 18 pages. arXiv admin note: substantial text overlap with arXiv:2109.02339

Subjects: Functional Analysis (math.FA); Classical Analysis and ODEs (math.CA); Complex Variables (math.CV); Spectral Theory (math.SP)

[35]  arXiv:2201.07405 (cross-list from math-ph) [pdf, ps, other]

Title: Localization for Almost-Periodic Operators with Power-law Long-range Hopping: A Nash-Moser Iteration Type Reducibility Approach

Authors: Yunfeng Shi

Comments: to appear in CMP

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

[36]  arXiv:2201.07636 (cross-list from math.AP) [pdf, other]

Title: On the spectral instability for weak intermediate triharmonic problems

Authors: Francesco Ferraresso

Comments: accepted for publication in 'Mathematical Methods in the Applied Sciences'

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

[37]  arXiv:2201.08189 (cross-list from math.AP) [pdf, ps, other]

Title: Sharp resolvent estimate for the Baouendi-Grushin operator and applications

Authors: Victor Arnaiz, Chenmin Sun

Comments: 91 pages, to appear in Comm. Math. Physics

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

[38]  arXiv:2201.08192 (cross-list from math.AP) [pdf, other]

Title: Self-adjointness for the MIT bag model on an unbounded cone

Authors: Biagio Cassano, Vladimir Lotoreichik

Comments: 38 pages, 1 figure; revised version

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Functional Analysis (math.FA); Spectral Theory (math.SP)

[39]  arXiv:2201.08971 (cross-list from math.AP) [pdf, other]

Title: Boundary localization of transmission eigenfunctions in spherically stratified media

Authors: Yan Jiang, Hongyu Liu, Jiachuan Zhang, Kai Zhang

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

[40]  arXiv:2201.09321 (cross-list from math.RA) [pdf, other]

Title: A Spectral Theorem for Zeon Matrices

Authors: G. Stacey Staples

Comments: arXiv admin note: substantial text overlap with arXiv:2103.11227

Subjects: Rings and Algebras (math.RA); Spectral Theory (math.SP)

[41]  arXiv:2201.09545 (cross-list from math.FA) [pdf, other]

Title: Thresholds and more bands of a.c. Spectrum for the discrete Schr{ö}dinger operator with a more general long range condition

Authors: Sylvain Golénia (IMB), Marc-Adrien Mandich

Comments: arXiv admin note: substantial text overlap with arXiv:2201.00410

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

[42]  arXiv:2201.09547 (cross-list from math.FA) [pdf, other]

Title: Additional numerical and graphical evidence to support some Conjectures on discrete Schrödinger operators with a more general long range condition

Authors: Sylvain Golénia (IMB), Marc-Adrien Mandich

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

[43]  arXiv:2201.09605 (cross-list from math.AP) [pdf, ps, other]

Title: An inequality for the normal derivative of the Lane-Emden ground state

Authors: Rupert L. Frank, Simon Larson

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

[44]  arXiv:2201.09985 (cross-list from math.PR) [pdf, other]

Title: Discrete harmonic functions for non-symmetric Laplace operators in the quarter plane

Authors: Viet Hung Hoang

Comments: 39 pages, 9 figures

Subjects: Probability (math.PR); Functional Analysis (math.FA); Spectral Theory (math.SP)

[45]  arXiv:2201.10205 (cross-list from math-ph) [pdf, other]

Title: Self-adjoint extension schemes and modern applications to quantum Hamiltonians

Authors: Matteo Gallone, Alessandro Michelangeli

Comments: Typos and minor errors corrected. Version to be published in the Springer Monographs in Mathematics series, 2022

Journal-ref: Springer Monographs in Mathematics, Springer International Publishing, 2023

Subjects: Mathematical Physics (math-ph); Functional Analysis (math.FA); Spectral Theory (math.SP); Quantum Physics (quant-ph)

[46]  arXiv:2201.10855 (cross-list from math.CA) [pdf, ps, other]

Title: $N\times N$ Matrix Time-/Band- Limiting examples

Authors: Bruno Eijsvoogel

Subjects: Classical Analysis and ODEs (math.CA); Spectral Theory (math.SP)

[47]  arXiv:2201.11087 (cross-list from math-ph) [pdf, ps, other]

Title: Rényi entropies of the free Fermi gas in multi-dimensional space at high temperature

Authors: Hajo Leschke, Alexander V. Sobolev, Wolfgang Spitzer

Comments: changes relative to v2: minor editing

Journal-ref: pp. 477-508 in: "Toeplitz Operators and Random Matrices - In Memory of Harold Widom"; Editors: E. Basor, A. B\"ottcher, T. Erhardt, C. A. Tracy; Operator Theory: Advances and Applications vol. 289, Birkh\"auser/Springer Nature, Cham, 2022

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

[48]  arXiv:2201.11219 (cross-list from math.AP) [pdf, other]

Title: Radiative decay of edge states in Floquet media

Authors: Sameh N. Hameedi, Amir Sagiv, Michael I. Weinstein

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

[49]  arXiv:2201.11357 (cross-list from math.AP) [pdf, ps, other]

Title: Semiclassical analysis of a nonlocal boundary value problem related to magnitude

Authors: Heiko Gimperlein, Magnus Goffeng, Nikoletta Louca

Comments: 54 pages, Appendices shortened, detailed computations available in v1. This revised version appears in Journal d'Analyse Math\'ematique

Subjects: Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA); Differential Geometry (math.DG); Metric Geometry (math.MG); Spectral Theory (math.SP)

[50]  arXiv:2201.11363 (cross-list from math.DG) [pdf, ps, other]

Title: The magnitude and spectral geometry

Authors: Heiko Gimperlein, Magnus Goffeng, Nikoletta Louca

Comments: 33 pages, 5 figures, python code in ancillary file

Subjects: Differential Geometry (math.DG); Analysis of PDEs (math.AP); Classical Analysis and ODEs (math.CA); Metric Geometry (math.MG); Spectral Theory (math.SP)