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SUMMARY:Fumihiko Nakano: Beta ensembles at high temperature
DTSTART:20260616T083000Z
DTEND:20260616T093000Z
DTSTAMP:20260614T002800Z
UID:indico-event-16565@indico.math.cnrs.fr
DESCRIPTION:Beta ensemble is one of the fundamental object in random matri
 x theory\, describing the Gibbs measure of 1dim $N$ particles under the lo
 g potential at inverse temperature $\\beta$. High temperature limit refers
  to consider $\\beta \\to 0$ limit such that $N \\beta = c$. By changing $
 c$\, it is expected to interpolate between the classical ($c=0$) and free 
 ($c=\\infty$) probability theory. In this talk\, I will review them and me
 ntion our recent results on Markov Klein transform and finite free convolu
 tions. This is a joint work with Khanh Duy Trinh\, Dung Hoang Trinh\, and 
 Ziteng Wang\n\nhttps://indico.math.cnrs.fr/event/16565/
URL:https://indico.math.cnrs.fr/event/16565/
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