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arxiv: 0806.0362 · v1 · submitted 2008-06-02 · 🧮 math.PR

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

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keywords processclusterdensityfluctuationspercolationzero-rangedistributionsevolving
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We prove that the density fluctuations for a zero-range process evolving on the supercritical percolation cluster are given by a generalized Ornstein-Uhlenbeck process in the space of distributions $\mc S'(\bb R^d)$.

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