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UID:8295@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20140926T110000
DTEND;TZID=Europe/Paris:20140926T120000
DTSTAMP:20241120T210327Z
URL:https://www.i2m.univ-amu.fr/evenements/convergence-and-regularity-of-p
 robability-laws-using-an-interpolation-method-vlad-bally/
SUMMARY:Vlad Bally (LAMA\, Université de Marne-la-Vallée): Convergence an
 d regularity of probability laws using an interpolation method - Vlad Ball
 y
DESCRIPTION:Vlad Bally: Recently Fournier and Printemps establish a methodo
 logy which allows to prove absolute continuity for the law of the solution
  of some stochastic equations with low regularity for the coefficients (Ho
 leder continous). So this is out of rich using standard methods based on M
 alliaivn calculus. Debushe and Romito substantialy imporved the above meth
 odology by using Besov space technics. In the present work we porve that t
 his quaind of problem naturally fits in the classical framework of interpo
 lation spaces: we prove an interpolation inequality which allows to furthe
 r improve the results of Debusche and Romito\, and not only: it turns out 
 that this inequality produces a criterion of convergence in total variatio
 n distance for a sequence of random variables.\n\n\n
ATTACH;FMTTYPE=image/jpeg:https://www.i2m.univ-amu.fr/wp-content/uploads/2
 020/01/Vlad_Bally.jpg
CATEGORIES:Séminaire,Probabilités
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DTSTART:20140330T030000
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