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SUMMARY:Charlie Dworaczek Guera (KTH Stockholm)
DTSTART:20261022T120000Z
DTEND:20261022T140000Z
DTSTAMP:20261026T125256Z
UID:PSMQFT/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PSMQFT/14/">
 β-ensembles at intermediary temperature</a>\nby Charlie Dworaczek Guera (
 KTH Stockholm) as part of Probability\, Statistical Mechanics and Quantum 
 Fields\n\n\nAbstract\nIn this talk\, I’ll present the real β-ensembles 
 of dimension N in the regime 1/N<<β(N)<<1. In this regime\, the system is
  still described macroscopically by the usual semi-circle type equilibrium
  measure. However\, at mesoscopic scales\, a transition occurs: below a ce
 rtain scale the correlations are not strong enough anymore and the system 
 enters a Poissonian regime. In this talk\, I will present a mesoscopic CLT
  for linear statistics illustrating this transition and the convergence of
  local statistics to those of a Poisson point process.\nThis is based on j
 oint works with my co-authors Gaultier Lambert\, Michel Pain and Luke Peil
 en and the recent preprint arxiv:2609.25301.\n
LOCATION:https://researchseminars.org/talk/PSMQFT/14/
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