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SUMMARY:Cutoff for the mean-field zero-range process - Justin Salez (Paris
 -Dauphine)
DTSTART:20191029T151500Z
DTEND:20191029T161500Z
UID:TALK131467@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:We consider the zero-range process with arbitrary bounded mono
 tone rates on the complete graph\, in the regime where the number of sites
  diverges while the density of particles per site converges. We determine 
 the asymptotics of the mixing time from any initial configuration\, and es
 tablish the cutoff phenomenon. The intuitive picture is that the system se
 parates into a slowly evolving solid phase and a quickly relaxing liquid p
 hase: as time passes\, the solid phase dissolves into the liquid phase\, a
 nd the mixing time is essentially the time at which the system becomes com
 pletely liquid. Joint work with Jonathan Hermon.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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