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Quantum ergodicity for large equilateral quantum graphs

Published:2019-07-26 Issue:1 Volume:101 Page:82-109
ISSN:0024-6107
Container-title:Journal of the London Mathematical Society
language:en
Short-container-title:J. London Math. Soc.

Author:

Ingremeau Maxime¹²,Sabri Mostafa³⁴,Winn Brian⁵

Affiliation:

1. Université de StrasbourgCNRSIRMA UMR 7501 F‐67000 Strasbourg France

2. Laboratoire J. A. DieudonnéUMR CNRS‐UNS 7351Université Côte d'Azur06000 Nice France

3. Department of MathematicsFaculty of ScienceCairo UniversityCairo 12613 Egypt

4. Laboratoire de Mathématiques d'OrsayUniv. Paris‐SudCNRSUniversité Paris‐Saclay91405 Orsay France

5. Department of Mathematical SciencesLoughborough UniversityLeicestershire LE11 3TU United Kingdom

Funder

Agence Nationale de la Recherche

Labex

Publisher

Wiley

Subject

General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1112/jlms.12259

Reference32 articles.

1. Absolutely Continuous Spectra of Quantum Tree Graphs with Weak Disorder

2. Quantum Ergodicity on Regular Graphs

3. Quantum ergodicity on large regular graphs

4. Quantum ergodicity on graphs: From spectral to spatial delocalization

5. Quantum ergodicity for the Anderson model on regular graphs

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1. Scattering resonances of large weakly open quantum graphs;Pure and Applied Analysis;2022-04-29

2. The necessity of conditions for graph quantum ergodicity and Cartesian products with an infinite graph;Comptes Rendus. Mathématique;2022-04-26

3. Dispersion for Schrödinger operators on regular trees;Analysis and Mathematical Physics;2022-03-18

4. Quantum ergodicity for expanding quantum graphs in the regime of spectral delocalization;Journal de Mathématiques Pures et Appliquées;2021-07

5. Empirical spectral measures of quantum graphs in the Benjamini-Schramm limit;Journal of Functional Analysis;2021-06

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