3 papers
math.PR2020
Numerical study for the phase transition of the area-interaction model
Pierre Houdebert
In this paper we present numerical analysis of the phase transition of the area-interaction model, which is a standard model of Statistical Mechanics. The theoretical results are b…
math.PR2019
Phase transition for the non-symmetric Continuum Potts model
Pierre Houdebert
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 Häggs…
math.PR2018
Sharp phase transition for the continuum Widom-Rowlinson model
David Dereudre, Pierre Houdebert
The Widom-Rowlinson model (or the Area-interaction model) is a Gibbs point process in with the formal Hamiltonian , where $ω…