Phase transition for the non-symmetric Continuum Potts model

TL;DR

This paper establishes phase transition phenomena in a non-symmetric continuum Potts model with background interactions, extending previous symmetric case methods using percolation and stochastic domination techniques.

Contribution

It generalizes the phase transition proof to non-symmetric models, employing Fortuin-Kasteleyn representation and percolation methods.

Findings

Proves phase transition in non-symmetric continuum Potts model

Extends symmetric case methods to more general models

Uses percolation and stochastic domination techniques

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 H\"aggstr\"om. The proof relies on a Fortuin-Kasteleyn representation, percolation and stochastic domination arguments.