DENSITY FLUCTUATIONS FOR A ZERO-RANGE PROCESS ON THE PERCOLATION CLUSTER

被引：2
|
作者：
Goncalves, Patricia [1 ]
Jara, Milton [2 ,3 ]
机构：
[1] Univ Minho, Ctr Matemat, P-4710057 Braga, Portugal
[2] Catholic Univ Louvain, FYMA, B-1348 Louvain, Belgium
[3] Univ Paris 09, CEREMADE, F-75775 Paris, France
来源：
ELECTRONIC COMMUNICATIONS IN PROBABILITY | 2009年 / 14卷
关键词：
Percolation cluster; zero-range process; density fluctuations; QUENCHED INVARIANCE-PRINCIPLES; WALKS;
D O I：
10.1214/ECP.v14-1491
中图分类号：
O21 [概率论与数理统计]; C8 [统计学];
学科分类号：
020208 ; 070103 ; 0714 ;
摘要：
We prove that the density fluctuations for a zero-range process evolving on the d-dimensional supercritical percolation cluster, with d >= 3, are given by a generalized Ornstein-Uhlenbeck process in the space of distributions S'(R-d).
引用
收藏
页码：382 / 395
页数：14
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