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UID:7559@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170505T110000
DTEND;TZID=Europe/Paris:20170505T120000
DTSTAMP:20241120T204409Z
URL:https://www.i2m.univ-amu.fr/evenements/localisation-of-the-continuous-
 anderson-hamiltonian-in-1d-cyril-labbe/
SUMMARY:Cyril Labbé (CEREMADE\, Université Paris-Dauphine): Localisation 
 of the continuous Anderson Hamiltonian in 1d - Cyril Labbé
DESCRIPTION:Cyril Labbé: We consider the Anderson Hamiltonian with a white
  noise potential on a segment of length L and endowed with Dirichlet bound
 ary conditions. We show that\, as L goes to infinity\, the (appropriately 
 rescaled and shifted) eigenvalues converge to a Poisson point process on R
  with an explicit intensity\, and that the eigenfunctions converge to Dira
 c masses located at iid uniform points. Furthermore\, we show that the sha
 pe of every eigenfunction near its maximum is given by an explicit\, deter
 ministic function which does not depend on the corresponding eigenvalue. T
 his is a joint work with Laure Dumaz (Paris-Dauphine).\n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Cyril_Labbe.jpg
CATEGORIES:Séminaire,Probabilités
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DTSTART:20170326T030000
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