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SUMMARY:Fluctuations and growth of the magnitude of the Dirichlet determin
 ants of Anderson Model at all disorders - Goldstein\, M (Toronto)
DTSTART:20081218T163000Z
DTEND:20081218T173000Z
UID:TALK15739@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We consider the Schrodinger operator of the Anderson model in 
 a quasi-one-dimensional domain with Dirichlet boundary condition. We show 
 the exponential growth of the characteristic determinant of the problem. I
 n particular\, we give an effective\, finite number of factors lower bound
  for the upper Lyapunov exponent of the product of the corresponding sympl
 ectic matrices. We explain the mechanism responsible for exponentially lar
 ge magnitude of the Dirichlet determinant. The central part of this mechan
 ism consists of the fact that the logarithm of the determinant has large f
 luctuations.
LOCATION:Seminar Room 1\, Newton Institute
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