Olga Aryasova (Inst. of Geophysics, Nat. Acad. of Sciences of Ukraine / Friedrich–Schiller–Univ. Jena)
Pierre Houdebert (Universität Potsdam)
The Fortuin-Kasteleyen representation, introduce in the 1960', is a method used to prove phase transition for Gibbs point process. It reduces the problem of phase transition to the study of connectivity in an underlying universal point process. It as been used to prove phase transition for several discrete models (Ising model, Potts model, ...) and continuum model (Widom-Rowlinson model, area interaction) and I will present it in the context of the non-symmetric continuum Potts model which is the first continuum model for which the FK representation was used in the non-symmetric case.