Quantum ergodicity for the Anderson model on regular graphs

DOI10.1063/1.5000962zbMath1376.82091arXiv1704.02765OpenAlexW3101905813MaRDI QIDQ5367000

Nalini Anantharaman, Mostafa Sabri

Publication date: 10 October 2017

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

Full work available at URL: https://arxiv.org/abs/1704.02765

zbMATH Keywords

Anderson modelBethe lattice

Mathematics Subject Classification ID

Trees (05C05) Association schemes, strongly regular graphs (05E30) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Transport processes in time-dependent statistical mechanics (82C70) Ergodic theorems, spectral theory, Markov operators (37A30) Dynamics of disordered systems (random Ising systems, etc.) in time-dependent statistical mechanics (82C44) Local spectral properties of linear operators (47A11)

Related Items (11)

The necessity of conditions for graph quantum ergodicity and Cartesian products with an infinite graph ⋮ Absolutely continuous spectrum for quantum trees ⋮ Quantitative equidistribution of eigenfunctions for toral Schrödinger operators ⋮ Cayley graphs that have a quantum ergodic eigenbasis ⋮ Quantum ergodicity for periodic graphs ⋮ On the almost eigenvectors of random regular graphs ⋮ Quantum ergodicity for large equilateral quantum graphs ⋮ Empirical spectral measures of quantum graphs in the Benjamini-Schramm limit ⋮ Recent results of quantum ergodicity on graphs and further investigation ⋮ \(L^p\) norms and support of eigenfunctions on graphs ⋮ Quantum ergodicity on graphs: from spectral to spatial delocalization

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