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SUMMARY:Sampling from the random cluster model on the random regular graph
  at all temperatures - Andreas Galanis (Oxford)
DTSTART:20231010T130000Z
DTEND:20231010T140000Z
UID:TALK206638@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:We consider the performance of Glauber dynamics for the random
  cluster model (with q>1). On the random regular graph\, the model exhibit
 s the ordered/disordered transition which causes bottlenecks in an interva
 l of temperatures (for q>2). This impedes fast mixing from worst-case star
 ting configurations\, for both local and non-local Markov chains. Neverthe
 less\, it is widely conjectured that the bottlenecks can be avoided by ini
 tialising the chain more judiciously.\n \nOur main result establishes this
  conjecture for all sufficiently large q (with respect to the degree Δ). 
 Specifically\, we consider the mixing time of Glauber dynamics initialised
  from the two extreme configurations\, and obtain a pair of fast mixing bo
 unds which cover all temperatures\, including in particular the bottleneck
  window. \n\nJoint with L. Goldberg and P. Smolarova. 
LOCATION:MR12\, Centre for Mathematical Sciences
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