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SUMMARY:Dimensional Phase Transition in Random Walk Loop Soup - Lorenzo Ta
 ggi (University of Rome La Sapienza)
DTSTART:20241030T114500Z
DTEND:20241030T124500Z
UID:TALK220699@talks.cam.ac.uk
DESCRIPTION:We consider a system of closed random walk trajectories intera
 cting by mutual repulsion. This probabilistic model is interesting in itse
 lf\, but is also motivated by its connections to certain models in statist
 ical mechanics\, such as the Bose gas\, the double dimer model\, or the sp
 in O(N) model. We prove the occurrence of macroscopic loops in dimension d
 >2 (joint with A. Quitmann\, 2022) and the absence of macroscopic loops in
  dimension d=2 (joint with W. Wu\, 2024).
LOCATION:Seminar Room 1\, Newton Institute
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