2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106317We provide an $N/V$-limit for the infinite particle, infinite volume stochastic dynamics associated with Gibbs states in continuous particle systems on $\mathbb R^d$, $d \ge 1$. Starting point is an $N$-particle stochastic dynamic with singular interaction and reflecting boundary condition in a subset $Λ\subset {\mathbb R}^d$ with finite volume (Lebesgue measure) $V = |Λ| < \infty$. The aim is to approximate the infinite particle, infinite volume stochastic dynamic by the above $N$-particle dynamic in $Λ$ as $N \to \infty$ and $V \to \infty$ such that $N/V \to ρ$, where $ρ$ is the particle density.35 pages; BiBoS-Preprint No. 04-12-172; publication in preparationProbabilityMathematical Physics60B12; 82C22; 60K35; 60J60; 60H10text