A functional central limit theorem for interacting particle systems on transitive graphs
Paul Doukhan 1, 2, Gabriel Lang 3, Sana Louhichi 4, Bernard Ycart 5, 6 Markov Processes and Related Fields 14, 1 (2008) 79-114 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 […]
