2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127238A finite range interacting particle system on a transitive graph is considered. Assuming that the dynamics and the initial measure are invariant, the normalized empirical distribution process converges in distribution to a centered diffusion process. As an application, a central limit theorem for certain hitting times, interpreted as failure times of a coherent system in reliability, is derived.35 pagesMathematical PhysicsProbabilityA functional central limit theorem for interacting particle systems on transitive graphstext