Spectral Theory

Authors and titles for math.SP in Jan 2022

[1]  arXiv:2201.00198 [pdf, ps, other]

Title: Symmetric Matrices, Signed Graphs, and Nodal Domain Theorems

Authors: Chuanyuan Ge, Shiping Liu

Comments: 33 pages,2 figures. All comments are welcome!

Subjects: Spectral Theory (math.SP); Combinatorics (math.CO); Differential Geometry (math.DG)

[2]  arXiv:2201.00410 [pdf, other]

Title: Thresholds and more bands of A.C. spectrum for the Molchanov--Vainberg Schrödinger operator with a more general long range condition

Authors: Marc-Adrien Mandich

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

[3]  arXiv:2201.01117 [pdf, other]

Title: On the Robin spectrum for the equilateral triangle

Authors: Zeév Rudnick, Igor Wigman

Comments: revised version. Added one figure. Accepted for publication in Journal of Physics A, special issue "Claritons and Asymptotics of Ideas: The Physics of Michael Berry"

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

[4]  arXiv:2201.01522 [pdf, ps, other]

Title: Canonical systems whose Weyl coefficients have regularly varying asymptotics

Authors: Matthias Langer, Raphael Pruckner, Harald Woracek

Subjects: Spectral Theory (math.SP)

[5]  arXiv:2201.02800 [pdf, other]

Title: On the spectrum of Schrödinger-type operators on two dimensional lattices

Authors: Shokhrukh Yu. Kholmatov, Saidakhmat N. Lakaev, Firdavsjon M. Almuratov

Comments: 28 pages, 3 figures

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

[6]  arXiv:2201.03305 [pdf, other]

Title: Pseudomodes for biharmonic operators with complex potentials

Authors: Tho Nguyen Duc

Comments: 39 pages

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

[7]  arXiv:2201.03646 [pdf, ps, other]

Title: An explanation of the commuting operator "miracle" in time and band limiting

Authors: Pierre-Antoine Bernard, Nicolas Crampe, Luc Vinet

Comments: 14 pages

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

[8]  arXiv:2201.04466 [pdf, ps, other]

Title: Random Schrödinger operators with complex decaying potentials

Authors: Jean-Claude Cuenin, Konstantin Merz

Comments: Minor corrections. Comments welcome

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

[9]  arXiv:2201.04511 [pdf, ps, other]

Title: On spectra of convolution operators with potentials

Authors: Denis I. Borisov, Andrey L. Piatnitski, Elena A. Zhizhina

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

[10]  arXiv:2201.05693 [pdf, other]

Title: Spectral decimation of piecewise centrosymmetric Jacobi operators on graphs

Authors: Gamal Mograby, Radhakrishnan Balu, Kasso A. Okoudjou, Alexander Teplyaev

Subjects: Spectral Theory (math.SP)

[11]  arXiv:2201.05779 [pdf, ps, other]

Title: Localization for magnetic quantum walks

Authors: Fan Yang

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

[12]  arXiv:2201.06667 [pdf, other]

Title: Computing nodal deficiency with a refined Dirichlet-to-Neumann map

Authors: Gregory Berkolaiko, Graham Cox, Bernard Helffer, Mikael Persson Sundqvist

Comments: 23 pages; comments welcome

Journal-ref: J Geom Anal 32, 246 (2022)

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

[13]  arXiv:2201.07465 [pdf, ps, other]

Title: Eigenvalue asymptotics for confining magnetic Schrödinger operators with complex potentials

Authors: Léo Morin, Nicolas Raymond, San Vu Ngoc

Subjects: Spectral Theory (math.SP)

[14]  arXiv:2201.08077 [pdf, ps, other]

Title: Spectral properties of the Neumann-Poincaré operator on rotationally symmetric domains in two dimensions

Authors: Yong-Gwan Ji, Hyeonbae Kang

Comments: 14 pages

Subjects: Spectral Theory (math.SP)

[15]  arXiv:2201.08259 [pdf, other]

Title: Spectral gap for obstacle scattering in dimension 2

Authors: Lucas Vacossin

Comments: 87 pages. 16 figures

Journal-ref: Analysis & PDE 17 (2024) 1019-1126

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

[16]  arXiv:2201.10461 [pdf, ps, other]

Title: Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition

Authors: Natalia P. Bondarenko

Subjects: Spectral Theory (math.SP)

[17]  arXiv:2201.11100 [pdf, ps, other]

Title: Isoperimetric inequalities for the magnetic Neumann and Steklov problems with Aharonov-Bohm magnetic potential

Authors: Bruno Colbois, Luigi Provenzano, Alessandro Savo

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

[18]  arXiv:2201.13420 [pdf, ps, other]

Title: Spectral resolutions for non-self-adjoint block convolution operators

Authors: Ewelina Zalot

Subjects: Spectral Theory (math.SP)

[19]  arXiv:2201.13423 [pdf, other]

Title: Tunneling effect induced by a curved magnetic edge

Authors: Søren Fournais, Bernard Helffer, Ayman Kachmar

Comments: To appear in a volume on the occasion of Eliott H. Lieb's 90th birthday

Subjects: Spectral Theory (math.SP)

[20]  arXiv:2201.00773 (cross-list from math.AP) [pdf, ps, other]

Title: Stability of spectral partitions and the Dirichlet-to-Neumann map

Authors: Gregory Berkolaiko, Yaiza Canzani, Graham Cox, Jeremy L. Marzuola

Comments: 18 pages, comments welcome; references updated in v2; title changed in v3

Journal-ref: Calc. Var. PDE <b>61</b> 203 (2022)

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

[21]  arXiv:2201.01252 (cross-list from math.CO) [pdf, ps, other]

Title: Laplacian Energies of Vertices

Authors: José Guerrero

Subjects: Combinatorics (math.CO); Spectral Theory (math.SP)

[22]  arXiv:2201.01314 (cross-list from math.NA) [pdf, other]

Title: SpecSolve: Spectral methods for spectral measures

Authors: Matthew J. Colbrook, Andrew Horning

Comments: 12 pages

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

[23]  arXiv:2201.01502 (cross-list from math-ph) [pdf, other]

Title: Magnetic ring chains with vertex coupling of a preferred orientation

Authors: Marzieh Baradaran, Pavel Exner, Jiri Lipovsky

Comments: 30 pages, 15 figures

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

[24]  arXiv:2201.01660 (cross-list from math.AP) [pdf, other]

Title: Eyring-Kramers law for Fokker-Planck type differential operators

Authors: Jean-Francois Bony, Dorian Le Peutrec, Laurent Michel

Comments: 45 pages, 3 figures

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

[25]  arXiv:2201.02170 (cross-list from math-ph) [pdf, other]

Title: Magnetic response of twisted bilayer graphene

Authors: Simon Becker, Jihoi Kim, Xiaowen Zhu

Subjects: Mathematical Physics (math-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Strongly Correlated Electrons (cond-mat.str-el); Spectral Theory (math.SP); Quantum Physics (quant-ph)