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SUMMARY:Nesting statistics in the O(n) loop model on random lattices - Bor
 ot\, G (Max-Planck-Institut fur Mathematik\, Bonn)
DTSTART:20150422T103000Z
DTEND:20150422T113000Z
UID:TALK59150@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:Co-author: Jeremie Bouttier (CEA Saclay and ENS Paris)\n\nWe i
 nvestigate how deeply nested are the loops in the O(n) model on\nrandom ma
 ps. In particular\, we find that the number P of loops\nseparating two poi
 nts in a planar map in the dense phase with V >> 1\nvertices is typically 
 of order c(n) ln V for a universal constant c(n)\,\nand we compute the lar
 ge deviations of P. The formula we obtain shows\nsimilarity to the CLE_{ka
 ppa} nesting properties for n = 2spi(1 -\n4/kappa). The results can be ex
 tended to all topologies using the\nmethods of topological recursion.\n\n
LOCATION:Seminar Room 1\, Newton Institute
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