文章基本信息

标题：Contact processes with random vertex weights on oriented lattices
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作者：Xiaofeng Xue
期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2015
卷号：XII
页码：245-259
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：In this paper we are concerned with contact processes with randomvertex weights on oriented lattices. In our model, we assume that each vertex xof Zd takes i. i. d. positive random value (x). Vertex y infects vertex x atrate proportional to (x)(y) when and only when there is an oriented edge fromy to x. We give the denition of the critical value c of infection rate under theannealed measure and show that c = [1 + o(1)]=(dE2) as d grows to innity.Classic contact processes on oriented lattices and contact processes on clusters oforiented site percolation are two special cases of our model.
关键词：Contact process; random vertex weights; oriented lattice; critical;value.