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BEGIN:VEVENT
UID:0-880@lptms.universite-paris-saclay.fr
DTSTART:20230420T110000Z
DTEND:20230420T120000Z
DTSTAMP:20230504T111940Z
URL:http://www.lptms.universite-paris-saclay.fr/seminars/seminaire-de-phys
 ique-statistique-du-lptms-christophe-texier-lptms/
SUMMARY:Séminaire de Physique Statistique du LPTMS: Christophe Texier (LPT
 MS) - Salle des séminaires du FAST et du LPTMS\, bâtiment Pascal n°530 
 - 20 Avr 23 11:00
DESCRIPTION:Random matrix products : from the Lyapunov exponent to the gene
 ralized Lyapunov exponent\nChristophe Texier (LPTMS)\n\nRandom matrix prod
 ucts (RMP) appear in various contexts of statistical physics. The most sim
 ple property of RMP is the Lyapunov exponent\, which measures the typical 
 exponential growth rate.\nFocusing on the case of 2*2 matrices\, I will pr
 ovide a brief review of the methods and some known results.\nThe study of 
 fluctuations of random matrix products can also be relevant in some cases.
  This requires to introduce the generalized Lyapunov exponent (GLE)\, i.e.
  the cumulant generating function of the log of the matrix product. Its de
 termination is much more difficult and requires to identify the largest ei
 genvalue of a certain non-Hermitian operator.
CATEGORIES:seminars
LOCATION:Salle des séminaires du FAST et du LPTMS\, bâtiment Pascal n°53
 0\, rue André Riviere\, Orsay\, 91405\, France
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=rue André Riviere\, Orsay\
 , 91405\, France;X-APPLE-RADIUS=100;X-TITLE=Salle des séminaires du FAST 
 et du LPTMS\, bâtiment Pascal n°530:geo:0,0
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