6 citations · 19 across the 6 of their papers we have counts for
8 papers
An explicit Dobrushin uniqueness region for Gibbs point processes with repulsive interactions
Pierre Houdebert, Alexander Zass
We present a uniqueness result for Gibbs point processes with interactions that come from a non-negative pair potential; in particular, we provide an explicit uniqueness region in…
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…
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…
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…
Phase transition for continuum Widom-Rowlinson model with random radii
David Dereudre, Pierre Houdebert
In this paper we study the phase transition of continuum Widom-Rowlinson measures in with types of particles and random radii. Each particle of type is…
Disagreement percolation for Gibbs ball models
Christoph Hofer-Temmel, Pierre Houdebert
We generalise disagreement percolation to Gibbs point processes of balls with varying radii. This allows to establish the uniqueness of the Gibbs measure and exponential decay of p…