Equilibrium fluctuations for the zero-range process on the Sierpinski gasket
M. D. Jara
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.
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