COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring. |

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 Mustapha Amrani. 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:Note that ex-directory lists are not shown. |
## Other listsOpen Innovation Genetics Seminar Series Human-Computer Interaction## Other talksC++ (part 4 of 4) Title - tbc Global trade in food and agriculture and the risk of non-communicable diseases in low and middle income countries iPhones and Dysons: using fluid dynamics to tailor technology Sikhs and the partition of India: rethinking the Sikh national question, 1940-47 Introduction |