×

A functional central limit theorem for interacting particle systems on transitive graphs. (English) Zbl 1148.60076

Summary: A 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.

MSC:

60K35 Interacting random processes; statistical mechanics type models; percolation theory
60F17 Functional limit theorems; invariance principles
PDFBibTeX XMLCite
Full Text: arXiv