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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Convex decay of entropy in interacting systems

## Convex decay of entropy in interacting systemsAdd to your list(s) Download to your calendar using vCal - Dai Pra, P (Padova)
- Wednesday 30 March 2011, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact Mustapha Amrani. Discrete Analysis For a Markov process, the exponential decay of relative entropy with respect to the invariant measure corresponds to a functional inequality sometimes called “Modified logarithmic Sobolev inequality” (MLSI). We consider a stronger inequality, that, besides exponential decay, implies that the relative entropy is convex in time. The advantage of this inequality is that it can be obtained, for some systems of interacting particle, via a Bakry-Emery-type approach, avoiding more complicated martingale methods. After having illustrated this approach, I will present some recent progresses on the subject, obtained in collaboration with G. Posta. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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