Fluctuations from the hydrodynamical limit for the symmetric simple exclusion in \(\mathbb{Z}{}^ d\)
The fluctuation field of the symmetric simple exclusion on \(\mathbb{Z}^ d\) is shown to converge to a generalized Ornstein-Uhlenbeck process in the hydrodynamic limit. The results are obtained using the martingale characterization of Holley and Stroock and estimates of the two point correlation functions.
scientific article; zbMATH DE number 64563