Equilibrium fluctuations for the zero-range process on the Sierpinski gasket
arXiv:math/0611836
Abstract
We obtain the equilibrium fluctuations for the empirical density of particles for the zero-range process in the Sierpinski gasket. The limiting process is a generalized Ornstein-Uhlenbeck process generated by the Neumann Laplacian and its corresponding Dirichlet form on the gasket.
9 pages