KALIKOW-TYPE DECOMPOSITION FOR MULTICOLOR INFINITE RANGE PARTICLE SYSTEMS

• 成果类型: Article
• 署名作者: Galves, A.; Garcia, N. L.; Loecherbach, E.; Orlandi, E.
• 署名单位: Universidade Estadual de Campinas; Centre National de la Recherche Scientifique (CNRS); CNRS - National Institute for Mathematical Sciences (INSMI); CY Cergy Paris Universite; Roma Tre University
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• DOI: 10.1214/12-AAP882
• 发表日期: 2013
• 页码: 1629-1659
• 关键词: perfect simulation; image-restoration; markov-chains; random-fields; statistical-mechanics; point-processes; loss networks; models; ergodicity; EXISTENCE

摘要

We consider a particle system on Z(d) with real state space and interactions of infinite range. Assuming that the rate of change is continuous we obtain a Kalikow-type decomposition of the infinite range change rates as a mixture of finite range change rates. Furthermore, if a high noise condition holds, as an application of this decomposition, we design a feasible perfect simulation algorithm to sample from the stationary process. Finally, the perfect simulation scheme allows us to forge an algorithm to obtain an explicit construction of a coupling attaining Ornstein's (d) over bar -distance for two ordered Ising probability measures.