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 |
|
Fichiers attachés |
- Anantharaman_Darboux.pdf (3027289 bytes)
|