A LIMIT-THEOREM FOR A CLASS OF INTERACTING PARTICLE-SYSTEMS

• 成果类型: Article
• 署名作者: SIMONELLI, I
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176988380
• 发表日期: 1995
• 页码: 141-156
• 关键词: valued markov-processes

摘要

Let S be a countable set and Lambda the collection of all subsets of S. We consider interacting particle systems (IPS) {eta(t)} on Lambda, with duals {<(eta)over tilde>(t)}, and duality equation P[\eta(t)(xi)boolean AND A\ odd] = (P) over tilde[\<(eta)over tilde>(A)(t) A boolean AND xi\ odd], xi, A subset of S, A finite. Under certain conditions we find all the extreme invariant distributions that arise as limits of translation invariant initial configurations. Specific systems will be considered. A new property of the annihilating particle model is then used to prove a limiting relation between the annihilating and coalescing particle models.