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SUMMARY:Convex decay of entropy in interacting systems - Dai Pra\, P (Pado
 va)
DTSTART:20110330T103000Z
DTEND:20110330T113000Z
UID:TALK30467@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:For a Markov process\, the exponential decay of relative entro
 py with respect to the invariant measure corresponds to a functional inequ
 ality sometimes called "Modified logarithmic Sobolev inequality" (MLSI). W
 e consider a stronger inequality\, that\, besides exponential decay\, impl
 ies that the relative entropy is convex in time. The advantage of this ine
 quality is that it can be obtained\, for some systems of interacting parti
 cle\, via a Bakry-Emery-type approach\, avoiding more complicated martinga
 le methods. After having illustrated this approach\, I will present some r
 ecent progresses on the subject\, obtained in collaboration with G. Posta.
 \n
LOCATION:Seminar Room 1\, Newton Institute
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