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Statut |
Confirmé |
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Série |
SEM-DARBOUX |
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Domaines |
hep-th |
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Date |
Jeudi 21 Mars 2019 |
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Heure |
11:00 |
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Institut |
LPTHE |
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Salle |
bibliothèque du LPTHE, tour 13-14, 4eme étage |
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Nom de l'orateur |
Anantharaman |
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Prenom de l'orateur |
Nalini |
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Addresse email de l'orateur |
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Institution de l'orateur |
IRMA, Strasbourg |
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Titre |
Quantum ergodicity on graphs : from spectral to spatial delocalization |
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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. |
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Numéro de preprint arXiv |
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Commentaires |
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Fichiers attachés |
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