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CATEGORIES:Probability
SUMMARY:Extremal and local statistics for gradient field m
 odels - Wei Wu (Warwick)
DTSTART;TZID=Europe/London:20180313T161500
DTEND;TZID=Europe/London:20180313T171500
UID:TALK97879AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/97879
DESCRIPTION:We study the gradient field models with uniformly 
 convex potential (also known as the Ginzburg-Landa
 u field) in two dimension. These log-correlated no
 n-Gaussian random fields arise in different branch
 es of statistical mechanics. Existing results were
  mainly focused on the CLT for the linear function
 als. In this talk I will describe some recent prog
 ress on the global maximum and local CLT for the f
 ield\, thus confirming they are in the Gaussian un
 iversality class in a very strong sense. The proof
  uses a random walk representation (a la Helffer-S
 jostrand) and an approximate harmonic coupling (by
  J. Miller).
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0W
 B
CONTACT:Perla Sousi
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