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SUMMARY:Some aspects of the Anderson Hamiltonian in 1D - Laure Dumaz (CNRS
 \, ENS Paris)
DTSTART:20240123T140000Z
DTEND:20240123T150000Z
UID:TALK210403@talks.cam.ac.uk
CONTACT:118195
DESCRIPTION:In this talk\, I will present several results on the Anderson 
 Hamiltonian with white noise potential in dimension 1. This operator forma
 lly writes « minus Laplacian plus white noise ». It arises as the scalin
 g 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 behaviour of the local statistics of its ei
 genvalues. Around large energies\, we will see that the eigenfunctions are
  delocalized and the operator limit takes a simple form ``J \\partial_t + 
 2*2 noise matrix’’ that can be linked to the hyperbolic carousel opera
 tors of Valko and Virag. Based on joint works with Cyril Labbé.\n\n
LOCATION:MR12
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