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SUMMARY:Delocalization of two-dimensional random surfaces with hard-core c
 onstraints - Peled\, R (Tel Aviv University)
DTSTART:20150317T113000Z
DTEND:20150317T123000Z
UID:TALK58429@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-author: Piotr Milos (University of Warsaw) \n\nWe study the
  fluctuations of random surfaces on a two-dimensional discrete torus. The 
 random surfaces we consider are defined via a nearest-neighbor pair potent
 ial which we require to be twice continuously differentiable on a (possibl
 y infinite) interval and infinity outside of this interval. This includes 
 the case of the so-called hammock potential\, when the random surface is u
 niformly chosen from the set of all surfaces satisfying a Lipschitz constr
 aint. Our main result is that these surfaces delocalize\, having fluctuati
 ons whose variance is at least of order log n\, where n is the side length
  of the torus. The main tool in our analysis is an adaptation to the latti
 ce setting of an algorithm of Richthammer\, who developed a variant of a M
 ermin-Wagner-type argument applicable to hard-core constraints. We rely al
 so on the reflection positivity of the random surface model. The result an
 swers a question mentioned by Brascamp\, Lieb and Lebowitz on the hammock 
 potential and a quest ion of Velenik. All terms will be explained in the t
 alk. Joint work with Piotr Milos.\n
LOCATION:Seminar Room 1\, Newton Institute
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