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TZID:Europe/Paris
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BEGIN:VEVENT
UID:1-352@lptms.universite-paris-saclay.fr
DTSTART:20150616T110000Z
DTEND:20150616T120000Z
DTSTAMP:20150612T102537Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-du-lptm
 s-mario-kieburg/
SUMMARY:Séminaire du LPTMS: Gernot Akemann - LPTMS\, salle 201\, 2ème ét
 age\, Bât 100\, Campus d'Orsay - 16 Juin 15 11:00
DESCRIPTION:Universal Lyapunov Exponents from Products of Random Matrices\n
 Gernot Akemann\, Universität Bielefeld\nRandom Matrices find many applica
 tions in Physics and Mathematics. In particular products of random matrice
 s can be used as a simple model for linear time evolution. In this talk I 
 will review recent progress on an exact solution of this model for Gaussia
 n random matrices. Both the spectral statistic of its complex eigenvalues 
 and its real positive singular values are given by a determinantal point p
 rocess with an underlying integrable kernel. In the limit of an infinite p
 roduct the Lyapunov exponents become deterministic and we compute their va
 riances and higher order cumulants. Remarkably the moduli of the complex e
 igenvalues and the singular values become identical in this limit. We will
  also discuss universality and possible extensions.
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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