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 | |
Commentaires | |
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