Long-range exclusion processes, generator and invariant measures
成果类型：
Article
署名作者：
Andjel, ED; Guiol, H
署名单位：
Aix-Marseille Universite; Communaute Universite Grenoble Alpes; Institut National Polytechnique de Grenoble
刊物名称：
ANNALS OF PROBABILITY
ISSN/ISSBN：
0091-1798
DOI：
10.1214/009117905000000486
发表日期：
2005
页码：
2314-2354
关键词：
摘要：
We show that if mu is an invariant measure for the long range exclusion process putting no mass on the full configuration, L is the formal generator of that process and f is a cylinder function, then Lf is an element of L-1 (d mu) and integral Lf d mu = 0. This result is then applied to determine (i) the set of invariant and translation-invariant measures of the long range exclusion process on Z(d) when the underlying random walk is irreducible; (ii) the set of invariant measures of the long range exclusion process on Z when the underlying random walk is irreducible and either has zero mean or allows jumps only to the nearest-neighbors.