Spectral gap for zero-range dynamics

被引：1

作者：

Landim, C ^{[1
]}

Sethuraman, S ^{[1
]}

Varadhan, S ^{[1
]}

机构：

[1] NYU, COURANT INST, CNRS, NEW YORK, NY 10012 USA

来源：

ANNALS OF PROBABILITY | 1996年 / 24卷 / 04期

关键词：

particle systems; ergodic measure; zero-range process; Dirichlet form;

D O I：

暂无

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 give a lower bound on the spectral gap for symmetric zero-range processes. Under same conditions on the rate function, we show that the gap shrinks as n(-2) independent of the density, for the dynamics localized on a cube of size n(d). We follow the method outlined by Lu and Yau, where a similar spectral gap is proved for Kawasaki dynamics.

引用

页码：1871 / 1902

页数：32

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