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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Nesting statistics in the O(n) loop model on random lattices

## Nesting statistics in the O(n) loop model on random latticesAdd to your list(s) Download to your calendar using vCal - Borot, G (Max-Planck-Institut fur Mathematik, Bonn)
- Wednesday 22 April 2015, 11:30-12:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact webseminars. Random Geometry Co-author: Jeremie Bouttier (CEA Saclay and ENS Paris) We investigate how deeply nested are the loops in the O(n) model on random maps. In particular, we find that the number P of loops separating two points in a planar map in the dense phase with V >> 1 vertices is typically of order c(n) ln V for a universal constant c(n), and we compute the large deviations of P. The formula we obtain shows similarity to the CLE _{kappa} nesting properties for n = 2spi(1 - 4/kappa). The results can be extended to all topologies using the methods of topological recursion. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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