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 Electronic Communications in Probability > Vol. 14 (2009) > Paper 38 open journal systems 


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

Patrícia C. Gonçalves, 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 $dgeq{3}$, are given by a generalized Ornstein-Uhlenbeck process in the space of distributions $mc S'(bb R^d)$.


Full text: PDF

Pages: 382-395

Published on: September 8, 2009


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Electronic Communications in Probability. ISSN: 1083-589X