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SUMMARY:Macroscopic loops in the loop O(n) model - Yinon Spinka (Tel Aviv)
DTSTART:20171114T161500Z
DTEND:20171114T171500Z
UID:TALK86471@talks.cam.ac.uk
CONTACT:Perla Sousi
DESCRIPTION:A loop configuration on the hexagonal (honeycomb) lattice is a
  finite subgraph of the lattice in which every vertex has degree 0 or 2\, 
 so that every connected component is isomorphic to a cycle. The loop O(n) 
 model on the hexagonal lattice is a random loop configuration\, where the 
 probability of a loop configuration is proportional to x^(#edges) n^(#loop
 s) and x\,n>0 are parameters called the edge-weight and loop-weight. I wil
 l discuss the phase structure of the loop O(n) model for various parameter
 s of n and x\, focusing on recent results about the non-existence of macro
 scopic loops for large n\, and about the existence of macroscopic loops on
  a critical line when n is between 1 and 2.\nBased on joint works with Hug
 o Duminil-Copin\, Alexander Glazman\, Ron Peled and Wojciech Samotij.
LOCATION:MR12\, CMS\, Wilberforce Road\, Cambridge\, CB3 0WB
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