Equilibrium fluctuations for the zero-range process on the Sierpinski gasket

Details Equilibrium fluctuations for the zero-range process on the Sierpinski gasket Equilibrium fluctuations for the zero-range process on the Sierpinski gasket

2006-11-27

arxiv.org/abs/math/0611836v1

Mathematics

Probability

9 pages

Scientific paper

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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