期刊名称：Latin American Journal of Probability and Mathematical Statistics
电子版ISSN：1980-0436
出版年度：2012
卷号：IX
期号：2
页码：323
出版社：Instituto Nacional De Matemática Pura E Aplicada
摘要：We consider a class of stochastic growth models on the integer latticewhich includes various interesting examples such as the number of open paths inoriented percolation and the binary contact path process. Under some mild assumptions,we show that the total mass of the process grows exponentially in timewhenever it survives. More precisely, we prove that there exists an open path,oriented in time, along which the mass grows exponentially fast.
关键词：Interacting particle systems; linear systems; exponential growth; ori-;ented percolation
