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math.PR2020
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…
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…