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SUMMARY:Gradient flows of the entropy for finite Markov chains - Maas\, A 
 (Bonn)
DTSTART:20110622T130000Z
DTEND:20110622T140000Z
UID:TALK31821@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:At the end of the nineties\, Jordan\, Kinderlehrer\, and Otto 
 discovered a new interpretation of the heat equation in R^n\, as the gradi
 ent flow of the entropy in the Wasserstein space of probability measures. 
 In this talk\, I will present a discrete counterpart to this result: given
  a reversible Markov kernel on a finite set\, there exists a Riemannian me
 tric on the space of probability densities\, for which the law of the cont
 inuous time Markov chain evolves as the gradient flow of the entropy.\n\n
LOCATION:Seminar Room 2\, Newton Institute Gatehouse
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