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TZID:Europe/Paris
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BEGIN:VEVENT
UID:1-483@lptms.universite-paris-saclay.fr
DTSTART:20161215T110000Z
DTEND:20161215T120000Z
DTSTAMP:20161129T184212Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-vladimir-kravtsov-seminaire-exceptionnel-2/
SUMMARY:Séminaire du LPTMS: Vladimir Kravtsov  *** séminaire exceptionnel
  *** - LPTMS\, salle 201\, 2ème étage\, Bât 100\, Campus d'Orsay - 15 D
 éc 16 11:00
DESCRIPTION:Phases and phase transitions on disordered Bethe lattice: analy
 tical treatment by one-step replica symmetry breaking\nVladimir Kravtsov (
 ICTP\, Trieste\, Italy)\nWe apply the replica trick to the problem of loca
 lization on disordered  Bethe lattice. We show that the formulation of th
 e problem in terms of  the one-step replica symmetry breaking leads natur
 ally to existence of  the multifractal phase and to phase transitions bet
 ween this phase and  the localized and fully extended (ergodic) delocaliz
 ed phase. We prove  the symmetry m→1-m of the problem with respect to t
 he replica symmetry  breaking parameter m and use this symmetry to derive
  exact expressions  for the transition points in terms of the Lyapuniov e
 xponents and the  branching number K. We also suggest a simple approximat
 ion which allows  to compute the fractal dimension D1 in the multifractal
  phase and the  critical values of disorder at the phase transitions with
  the best known  so far accuracy.\n\nReference :\n\n	\nB. L. Altshuler\, 
 L. B. Ioffe and V. E. Kravtsov\, Multifractal states in self-consistent th
 eory of localization: analytical solution\, preprint arXiv:1610.00758\n
CATEGORIES:seminars
LOCATION:LPTMS\, salle 201\, 2ème étage\, Bât 100\, Campus d'Orsay\, 15 
 Rue Georges Clemenceau\, Orsay\, 91405\, France
GEO:48.698185;2.181768
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=15 Rue Georges Clemenceau\,
  Orsay\, 91405\, France;X-APPLE-RADIUS=100;X-TITLE=LPTMS\, salle 201\, 2è
 me étage\, Bât 100\, Campus d'Orsay:geo:48.698185,2.181768
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