Groupe de Physique Statistique

Equipe 106, Institut Jean Lamour

                     
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Séminaire de groupe

Conformal invariance and many-points correlation functions in percolation models
Raoul Santachiara
LPTMS, CNRS, Orsay
jeudi 05 novembre 2015 , 11h00
Salle de séminaire du groupe de Physique Statistique

The geometrical nature of two-dimensional critical points is encoded in the connectivity properties of random clusters. We discuss about recent results on the bulk three-point connecitivities which were at the origin of the recent extension of the Liouville theory to values of the central charge c<=1. Moreover, we present analytical and numerical analysis of the four-point connectivities of random cluster. In particular we show a new result in the pure percolation theory which has a clear interpretation in terms of the (unknown) bulk conformal field theory behind.



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