Conformal invariance and many-point correlation functions in percolation models

by Prof. Raoul Santachiara (Orsay (Paris))

Thursday 4 Feb 2016, 16:15 → 17:15 Europe/Brussels

CYCL08 (Marc de Hemptinne)

Abstract:

The geometrical nature of two-dimesional critical points is encoded in the connectivity properties of random clusters. We discuss recent results on the bulk three-point connectivities which were at the origin of our extension of the Liouville theory to values of the central charge $c\leq 1$. Moreover, we present an analytical and numerical analysis of the four-point connectivities of random cluster and pure percolation theory.