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UID:7419@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20171219T110000
DTEND;TZID=Europe/Paris:20171219T120000
DTSTAMP:20241120T203947Z
URL:https://www.i2m.univ-amu.fr/evenements/linear-response-for-random-dyna
 mical-systems/
SUMMARY:Benoît Saussol (LMBA\, Université de Bretagne Occidentale\, Brest
 ): Linear response for random dynamical systems
DESCRIPTION:Benoît Saussol: We study for the first time linear response fo
 r random compositions of maps\, chosen independently according to a distri
 bution ℙ. We are interested in the following question: how does an absol
 utely continuous stationary measure (acsm) of a random system change when 
 ℙ changes smoothly to ℙε? For a wide class of one-dimensional random 
 maps\, we prove differentiability of acsm with respect to ε\; moreover\, 
 we obtain a linear-response formula. We apply our results to iid compositi
 ons of uniformly expanding circle maps\, to iid compositions of the Gauss-
 Rényi maps (random continued fractions) and to iid compositions of Pomeau
 -Manneville maps.\nhttps://arxiv.org/abs/1710.03706\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Benoit_Saussol.jpg
CATEGORIES:Séminaire,Ernest
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DTSTART:20171029T020000
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