Limit theorems for the position of a tagged particle in the stirring-exclusion process  

作　　者：Peng CHEN Fuxi ZHANG 

机构地区：[1]School of Mathematical Sciences, Peking University, Beijing 100871, China

出　　处：《Frontiers of Mathematics in China》2013年第3期479-496,共18页中国高等学校学术文摘·数学（英文）

摘　　要：Stirring-exclusion processes are exclusion processes with particles being stirred. We investigate a tagged particle among a Bernoulli product environment measure on the lattice Zd. We show the strong law of large numbers and the central limit theorem for the tagged particle. The proof of the central limit theorem is based on the method of martingale decomposition with a sector condition.Stirring-exclusion processes are exclusion processes with particles being stirred. We investigate a tagged particle among a Bernoulli product environment measure on the lattice Zd. We show the strong law of large numbers and the central limit theorem for the tagged particle. The proof of the central limit theorem is based on the method of martingale decomposition with a sector condition.

关 键 词：Tagged particle stirring-exclusion central limit theorem sectorcondition 

分 类 号：O211.4[理学—概率论与数理统计] TQ051.72[理学—数学]