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SUMMARY:The random phase hypothesis for quasi-1D random media - Schulz-Bal
 des\, H (Erlangen-Nurnberg)
DTSTART:20080821T143000Z
DTEND:20080821T153000Z
UID:TALK13157@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The random transfer matrices of a quasi-1D system naturally ac
 t on the Grassmannian of symplectic frames\, which is a compact symmetric 
 space. The random phase hypothesis (RPH) claims that the invariant distrib
 ution is given by the Haar measure on the elliptic (or open) channels. Thi
 s allows to derive the DKMP equations which in turn have a large number of
  applications. A general criterion is presented allowing to verify a weak 
 form of the RPH in a perturbative situation. The criterion can be verified
  for the Wegner N-orbital model and this allows to prove that its Lyapunov
  spectrum is equidistant. Other applications concern the localization leng
 th of the Anderson model on a strip (giving a generalization of the 1d-Tho
 uless formula) as well as a perturbative formula for the density of states
 .
LOCATION:Seminar Room 1\, Newton Institute
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