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 ${\mathbb{R}}^d$ with the formal Hamiltonian $H(\omega )=\text{Volume}({\cup }_{x\in \omega }{B}_1(x))$, where $ω…