Stabilization and limit theorems for geometric functionals of Gibbs point processes

T. Schreiber, J. E. Yukich

Given a Gibbs point process ${\P }^{\Psi }$ on ${\mathbb{R}}^d$ having a weak enough potential $\Psi$, we consider the random measures $μ_\la := \sum_{x \in ¶^Ψ \cap Q_\la} ξ(x, ¶^Ψ \cap Q_\la) δ_{x/\la^…