|
Status |
Confirmed |
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Seminar Series |
SEM-DARBOUX |
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Subjects |
hep-th |
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Date |
Thursday 21 March 2019 |
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Time |
11:00 |
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Institute |
LPTHE |
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Seminar Room |
bibliothèque du LPTHE, tour 13-14, 4eme étage |
|
Speaker's Last Name |
Anantharaman |
|
Speaker's First Name |
Nalini |
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Speaker's Email Address |
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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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arXiv Preprint Number |
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Comments |
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Attachments |
- Anantharaman_Darboux.pdf (3027289 bytes)
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