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 H\"aggstr\"om. The proof relies on a Fortuin-Kasteleyn representation, percolation and stochastic domination arguments.
Cite
@article{arxiv.1908.10066,
title = {Phase transition for the non-symmetric Continuum Potts model},
author = {Pierre Houdebert},
journal= {arXiv preprint arXiv:1908.10066},
year = {2020}
}