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SUMMARY:Large fluctuations in the Hierarchical Coulomb gas
DTSTART:20240125T093000
DTEND:20240125T103000
DTSTAMP:20260428T142541Z
UID:a759ff4eb884c1f9c418f80e3138c918d8c6e0d70d4843157aefe33a
CATEGORIES:Conferences - Seminars
DESCRIPTION:Oren Yakir – University Tel Aviv   \nSeminar in Mathematic
 s\nThe two-dimensional Coulomb gas model describes electrically charged pa
 rticles embedded in a uniform background of the opposite charge\, intera
 cting through a logarithmic potential. A celebrated prediction from the p
 hysics literature\, made by Jancovici\, Lebowitz and Manificat in 1993\, d
 escribes probabilities of observing large charge fluctuations in the syste
 m. From the mathematical standpoint\, the JLM law is only proved in a very
  special 'solvable' case\, with only partial results known in general.\nA
  few years ago\, Chatterjee introduced a hierarchical version of the Cou
 lomb gas inspired by Dyson's hierarchical model for the Ising ferromagnet
 . In the talk\, I will present an ongoing joint work with Alon Nishry\, in
  which we prove that the JLM law holds for this Hierarchical Coulomb gas m
 odel.\n 
LOCATION:https://epfl.zoom.us/j/63254165232
STATUS:CONFIRMED
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