## Density fluctuations for a zero-range process on the percolation cluster.(English)Zbl 1189.60174

Summary: We prove that the density fluctuations for a zero-range process evolving on the $$d$$-dimensional supercritical percolation cluster, with $$d\geq 3$$, are given by a generalized Ornstein-Uhlenbeck process in the space of distributions $$\mathcal S'(\mathbb{R}^d)$$.

### MSC:

 60K35 Interacting random processes; statistical mechanics type models; percolation theory 60G20 Generalized stochastic processes
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