Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series SEM-DARBOUX
Subjects hep-th
Date Thursday 21 March 2019
Time 11:00
Institute LPTHE
Seminar Room bibliothèque du LPTHE, tour 13-14, 4eme étage
Speaker's Last Name Anantharaman
Speaker's First Name Nalini
Speaker's Email Address
Speaker's Institution IRMA, Strasbourg
Title Quantum ergodicity on graphs : from spectral to spatial delocalization
Abstract 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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