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SUMMARY:Limit shapes in statistical mechanics and integrability
DTSTART:20160407T161500
DTEND:20160407T170000
DTSTAMP:20260509T090623Z
UID:dc127dd0547350cf7fa674ee306853291a57ce556e8608d8c81867be
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Nicolai Reshetikhin - University of California\nThe phen
 omenon of limit shape formations in statistical mechanics is similar in ma
 ny ways to the semiclassical limit in quantum mechanics. Its main feature 
 is that for large systems random variable can become deterministic at cert
 ain scales.  Versions of this phenomenon are known as hydrodynamic limits
 . In probability theory counterparts of limit shape  formation are centra
 l limit theorems. The phenomenon was relatively well studied in dimer mode
 ls where the corresponding variational principle is proven. The first part
  of this talk will be an overview of the variational principle for the lim
 it shape formation in dimer models. In the second part I will show that un
 der certain assumptions\, non-linear PDE describing limit shapes in the 6-
 vertex model have infinitely many conserved quantities.
LOCATION:MA11 http://plan.epfl.ch/?lang=fr&room=ma11
STATUS:CANCELLED
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