Two limit theorems for the high-dimensional two-stage contact process
报告题目(Title)：Two limit theorems for the high-dimensional two-stage contact process
报告人(Speaker)：薛晓峰 博士 (北京交通大学)
地点(Place)：教八楼 110
时间(Time)：2021年5月24日, 16:00-17:00
邀请人(Inviter)：何辉
报告摘要
In this talk we are concerned with the two-stage contact process introduced by Krone(AOP 1999) on a high-dimensional lattice. By comparing this process with an auxiliary model which is a linear system, we obtain two limit theorems for this process as the dimension of the lattice grows to infinity. The first theorem is about the upper invariant law of the process. The second theorem is about asymptotic behavior of the critical value of the process. These two theorems can be respectively considered as analogues of limit theorems proved by Griffeath (AOP 1983) and Schonmann $\&$ Vares (PTRF 1986) for basic contact processes.
