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Status |
Confirmed |
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Seminar Series |
LPTMS |
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Subjects |
cond-mat.stat-mech |
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Date |
Tuesday 26 September 2023 |
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Time |
11:00 |
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Institute |
LPTMS |
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Seminar Room |
Salle des séminaires du FAST et du LPTMS, bâtiment Pascal n°530 |
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Speaker's Last Name |
Dumaz |
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Speaker's First Name |
Laure |
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Speaker's Email Address |
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Speaker's Institution |
DMA, ENS Paris |
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Title |
Some aspects of the Anderson Hamiltonian in 1D |
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Abstract |
In this talk, I will present several results on the Anderson Hamiltonian with white noise potential in dimension
1. This operator formally writes « – Laplacian + white noise ». It arises as the scaling limit of various discrete
models and its explicit potential allows for a detailed description of its spectrum. We will discuss localization
of its eigenfunctions as well as the behavior of the local statistics of its eigenvalues. Around large energies,
we will see that the eigenfunctions are delocalized and follow a universal shape given by the exponential of a
Brownian motion plus a drift, a behavior already observed by Rifkind and Virag in tridiagonal matrix models.
Based on joint works with Cyril Labbé. |
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arXiv Preprint Number |
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