Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Statut Confirmé
Série SEM-DARBOUX
Domaines hep-th
Date Jeudi 21 Mars 2019
Heure 11:00
Institut LPTHE
Salle bibliothèque du LPTHE, tour 13-14, 4eme étage
Nom de l'orateur Anantharaman
Prenom de l'orateur Nalini
Addresse email de l'orateur
Institution de l'orateur IRMA, Strasbourg
Titre Quantum ergodicity on graphs : from spectral to spatial delocalization
Résumé We study the eigenfunctions of discrete Schrödinger operators on finite graphs of large size, and their (de)localization properties. To measure delocalization, we use a criterion of "quantum ergodicity" borrowed from the subject of quantum chaos. We can prove delocalization in this sense for some families of graphs, typically : regular graphs and their small perturbations. We show that quantum ergodicity is related to ``spectral delocalization'', namely the fact that the spectrum of the ideal infinite system is absolutely continuous.
Numéro de preprint arXiv
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