一维单边接触过程的注记

Remark on One Dimensional Single-edged Contact Process

构造了一维单边接触过程,给出了其存在性和吸引性,利用对偶的方法给出其临界值的估计,并且运用一维单边接触过程的吸引紧邻性,给出了该过程的不变测度极点集,它是仅含有上不变测度和下不变测度的集合。

The model of one dimensional single--edged contact process is constructed. The attractiveness and existence of the model are obtained. The dual way is used to estimate the critical value. Moreover, the set of extreme points for in- variant measure, which only has the upper invariant measure and the lower invariant measure, is given by means of the model＇s attractiveness and nearest--neighbor.