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SUMMARY:Mixing-time and cut-off window for the exclusion process on 1-dime
 nsional graphs - Dr Hubert Lacoin\, Universite Paris Dauphine
DTSTART:20140429T153000Z
DTEND:20140429T163000Z
UID:TALK51892@talks.cam.ac.uk
CONTACT:37296
DESCRIPTION:We consider the exclusion process with k particle on the circl
 e or segment of lenght N (with k\\le N/2). This is a Markov chain that can
  be described as follows: k (unlabeled) particles are moving on a graph wi
 th the rule that each site can be occupied only by one particle\, each par
 ticle jump with rate one on each of the neighboring sites\, but the jumps 
 are cancelled when a particle tries to jump on a site which is already occ
 upied.\n\nThe equilibrium state for this dynamics is the uniform measure o
 ver all possible particle configuration\, and in our talk we want to inves
 tigate how much time the system needs to reach equilibrium in\nterms of to
 tal variation distance. We give a sharp answer for both the segment and th
 e circle and discuss the connection with the adjacent transposition shuffl
 e. 
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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