Orateur
Alice Guionnet
(UMPA, CNRS et École normale supérieure de Lyon)
Description
We will discuss how to obtain topological expansions from Dyson-Schwinger equations in both random matrix and tiling models. We will start by discussing the case of the GUE and show how Dyson-Schwinger equations are equivalent to the expansion of cumulants as generating functions for the enumeration of maps. We will then extend these ideas to beta-ensemble, and their consequences to derive central limit theorems. We finally will use equations introduced by Nekrasov to obtain similar results for random tilings.
Auteur principal
Alice Guionnet
(UMPA, CNRS et École normale supérieure de Lyon)
