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

页码：382 / 395

页数：14

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