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	Asymptotic behavior of a tagged particle in the exclusion process on parallel lattices
	Zhang FuXi
	2015
关键词	tagged particle process strong law of large numbers central limit theorem MARKOV-PROCESSES SELF-DIFFUSION LIMIT-THEOREM
英文摘要	We investigate a tagged particle in the exclusion processes on {1,..., N} x Z(d), with different densities in different levels {k} x Z(d), (sic)k. Ignoring the level the tagged particle lying in, we only concern its position in Z(d), denoted by X-t. Note that the whole space is not homogeneous. We define the environment process viewed from the tagged particle, of which X-t can be expressed as a functional. It is called the tagged particle process. We show the ergodicity of the tagged particle process, then prove the strong law of large numbers. Furthermore, we show the central limit theorem of X-t provided the zero-mean condition.; SCI(E); 中国科学引文数据库(CSCD); ARTICLE; zhangfxi@math.pku.edu.cn; 10; 2069-2080; 58
语种	英语
出处	知网 ; CSCD ; SCI
出版者	SCIENCE CHINA-MATHEMATICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/413981]
专题	数学科学学院
推荐引用方式 GB/T 7714	Zhang FuXi. Asymptotic behavior of a tagged particle in the exclusion process on parallel lattices. 2015-01-01.

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