Speaker
Vincent Delecroix
(LaBRI, Université de Bordeaux)
Description
The limit behavior of cycles in random permutations has attracted a lot of interest. For example it is well known that the number of small cycles follows a Poisson distribution. Similar limit laws as the genus tends to infinity exist for square-tiled surfaces (which are special types of quadrangulations close to the fully packed loop O(1) model). Our result holds in a specific case but numerical experiments suggest that it holds beyond our restricted setting. I also aim to discuss a possible interpolation
between permutations and square-tiled surfaces.
This is a joint work with E. Goujard, P. Zograf, A. Zorich on the one hand and with M. Liu on the other hand.
