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Localisation of the continuous Anderson hamiltonian in 1d

Date: Thursday, November 22, 2018 16:00 - 18:00
Speaker: Cyril Labbe (University Paris-Dauphine)
Location: Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series: Mathematics and CS Seminar
Host: Jan Maas
Lab building west seminar room

Consider the so-called Anderson hamiltonian obtained by perturbing the Laplacian with a white noise on a segment of size L. This operator is intimately connected to random matrix models and plays an important role for the study of the parabolic Anderson model. I will present a complete description of the bottom of the spectrum of this operator when L goes to infinity.

Joint work with Laure Dumaz (Paris Dauphine).

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