100, rue des maths 38610 Gières / GPS : 45.193055, 5.772076 / Directeur : Thierry Gallay

Ioan Manolescu

First order phase transition for the Random Cluster model with $q > 4$
Mardi, 14 Novembre, 2017 - 14:00
Résumé : 
This talk aims to prove that the phrase transition of the planar random cluster model (and that of the associated Potts model) is discontinuous when $q > 4$. The result is obtained by computing rigorously the correlation length of the critical RCM using a correspondence with the six vertex model. The latter may be expressed using the transfer matrix formalism; the Perron-Frobenius eigenvalues of the diagonal blocks of the transfer matrix may then be computed using the Bethe ansatz.
Institution de l'orateur : 
Université de Genève
Thème de recherche : 
Probabilités
Salle : 
04
logo uga logo cnrs