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UID:7502@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20170912T110000
DTEND;TZID=Europe/Paris:20170912T120000
DTSTAMP:20241120T204349Z
URL:https://www.i2m.univ-amu.fr/evenements/empiric-stochastic-stability-of
 -physical-and-pseudo-physical-measures/
SUMMARY:Eleonora Catsigeras (Universidad de la República\, Montevideo\, Ur
 uguay): Empiric stochastic stability of physical and pseudo-physical measu
 res
DESCRIPTION:Eleonora Catsigeras: We define the empiric stochastic stability
  of an invariant probability measure by adapting to the finite-time scenar
 io\, the classical definition of stochastic stability. We prove that\, for
  any continuous system\, an invariant measure is empirically stochasticall
 y stable if and only if it is physical. We define also the empiric stochas
 tic stability of a weak*-compact set of invariant measures\, instead of a 
 single measure.\nEven if the system has no physical measure\, we show that
  it still has minimal empirically stochastically stable sets of measures.\
 nBesides\, we prove that such sets are necessarily composed by pseudo-phys
 ical measures.\nFinally\, we apply the results to the one-dimensional C¹-
 expanding case\, to conclude that the empirically stochastically measures 
 or sets of measures satisfy Pesin Entropy Formula.\nhttps://arxiv.org/abs/
 1707.01472\n\n&nbsp\;
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Eleonora_Catsigeras_2013.jpg
CATEGORIES:Séminaire,Ernest
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