Density fluctuations for a zero-range process on the percolation cluster
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 $\mathcal{ S}'(\mathbb {R}^d)$.
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| Formato: | article |
| Idioma: | eng |
| Publicado em: |
2009
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| Texto completo: | http://hdl.handle.net/1822/11582 |
| País: | Portugal |
| Oai: | oai:repositorium.sdum.uminho.pt:1822/11582 |
| Resumo: | 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 $\mathcal{ S}'(\mathbb {R}^d)$. |
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