A convergence result for critical reversible nearest particle systems

成果类型:
Article
署名作者:
Mountford, T
署名单位:
University of California System; University of California Los Angeles
刊物名称:
ANNALS OF PROBABILITY
ISSN/ISSBN:
0091-1798
发表日期:
2002
页码:
1-61
关键词:
摘要:
We consider critical reversible nearest particle systems. We assume that the associated renewal measure has large moments as well as some regularity conditions. It is shown that such processes, started from a nontrivial ergodic translation invariant distribution, converge in distribution to the upper invariant measure.