Phase transition for the non-symmetric Continuum Potts model

2019/08/27 by Houdebert, Pierre
#60D05 #60G10 #60G55 #60G57 #60G60 #60K35 #82B21 #82B26 #82B43 #FOS: Mathematics #Probability (math.PR)

paper · doi:10.48550/arxiv.1908.10066

Abstract

We prove phase transition for the non-symmetric continuum Potts model with background interaction, by generalizing the methods introduced in the symmetric case by Georgii and Häggström. The proof relies on a Fortuin-Kasteleyn representation, percolation and stochastic domination arguments.

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