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	CONTACT PROCESS ON HEXAGONAL LATTICE
	Yao Qiang ; Li Qunchang
	2010
关键词	Hexagonal lattice contact process critical value complete convergence theorem rate of growth PERCOLATION
英文摘要	In this article, we discuss several properties of the basic contact process on hexagonal lattice H, showing that it behaves quite similar to the process on d.-dimensional lattice Z(d) in many aspects. Firstly, we construct a coupling between the contact process on hexagonal lattice and the oriented percolation, and prove an equivalent finite space-time condition for the survival of the process. Secondly, we show the complete convergence theorem and the polynomial growth hold for the contact process on hexagonal lattice. Finally, we prove exponential bounds in the supercritical case and exponential decay rates in the subcritical case of the process.; Mathematics; SCI(E); 中国科技核心期刊(ISTIC); 中国科学引文数据库(CSCD); 0; ARTICLE; 3; 769-790; 30
语种	英语
出处	SCI
出版者	acta mathematica scientia
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/244490]
专题	数学科学学院
推荐引用方式 GB/T 7714	Yao Qiang,Li Qunchang. CONTACT PROCESS ON HEXAGONAL LATTICE. 2010-01-01.

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