Trace formulae and spectral statistics for discrete Laplacians on regular graphs (I)

DOI10.1088/1751-8113/42/41/415101zbMath1179.81083arXiv0908.3944OpenAlexW2137131409MaRDI QIDQ3654277

Uzy Smilansky, Amit Godel, Idan Oren

Publication date: 5 January 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0908.3944

Mathematics Subject Classification ID

Quantum chaos (81Q50) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20)

Related Items (17)

The coefficients of the reduced Bartholdi zeta function ⋮ Spectral statistics of the uni-modular ensemble ⋮ Cycles and eigenvalues of sequentially growing random regular graphs ⋮ On the generalized Kesten–McKay distributions ⋮ Moments of \(q\)-normal and conditional \(q\)-normal distributions ⋮ Trace formulas for magnetic Schrödinger operators on periodic graphs and their applications ⋮ Some weighted Bartholdi zeta function of a digraph ⋮ Heat kernels on regular graphs and generalized Ihara zeta function formulas ⋮ A random walk approach to linear statistics in random tournament ensembles ⋮ On the Number of Perfect Matchings in Random Lifts ⋮ Kac-Ward formula and its extension to order-disorder correlators through a graph zeta function ⋮ Spectral analysis of transient amplifiers for death-birth updating constructed from regular graphs ⋮ Trace formulas for Schrödinger operators on periodic graphs ⋮ The Tracy-Widom law for some sparse random matrices ⋮ Periodic Walks on Large Regular Graphs and Random Matrix Theory ⋮ Discrete Graphs – A Paradigm Model for Quantum Chaos ⋮ Trace formulas for general Hermitian matrices: unitary scattering approach and periodic orbits on an associated graph

This page was built for publication: Trace formulae and spectral statistics for discrete Laplacians on regular graphs (I)