Density fluctuations for a zero-range process on the percolation cluster

Patricia C. Goncalves (CMAT - U. Minho)
Milton D. Jara (Paris Dauphine)

Abstract


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 $\mathscr{S}'(\mathbb{R}^d)$.

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Pages: 382-395

Publication Date: September 8, 2009

DOI: 10.1214/ECP.v14-1491

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