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SUMMARY:Mixing time of random walk on dynamical random cluster - Alexandre
  Stauffer (Bath)
DTSTART:20230516T130000Z
DTEND:20230516T140000Z
UID:TALK200482@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:We consider a random walk jumping on a dynamic graph (that is\
 , the graph changes at the same time as the walker moves) given by Glauber
  dynamics on the random cluster model.  In this model\, the edges of the g
 raph change their state\, between open and closed\, via a dynamics with un
 bounded dependences. \nWe derive tight bounds on the mixing time when the 
 density of open edges is small enough.  For the proof\, we construct a non
 -Markovian coupling using a multiscale analysis of the environment.\nThis 
 is based on joint work with Andrea Lelli.
LOCATION:MR12\, Centre for Mathematical Sciences
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