Fluctuations des temps d’occupation d’un site dans l’exclusion simple symétrique. (Fluctuations in the occupation time of a site in simple symmetric exclusion). (French) Zbl 0612.60094

It is proved that in the simple symmetric exclusion process the fluctuations of the occupation time of a site, properly renormalized, converge to a normal random variable. The normalizing function turns out to be the same as in the case without interaction. The proof is based on a central limit theorem for martingales.
Reviewer: M.Mürmann


60K35 Interacting random processes; statistical mechanics type models; percolation theory
60F05 Central limit and other weak theorems
Full Text: Numdam EuDML