齐次树上随机环境下的接触过程(英文)

The Contact Process on Trees in Random Environments

考虑齐次树上随机环境下的接触过程 ,随机环境是指康复的速率 {δ(x) :x∈Td}是独立同分布而且有上界的随机变量 ,感染的速率是常数λ。如果liminfv→∞ eβvP(-logδ(x) >v) >0 , β>0 ,则对任意的λ >0 ,接触过程是强蔓延的。

Consider the contact process on homogeneous trees in a random environment,in which the recovery rates {δ(x):x∈T-d} are i.i.d. random variables (bounded above) while the infection rate is a constant λ.The contact process survives locally for every λ>0 if {lim inf}v→∞e+{β*#v}P(-logδ(x)>v)>0 for all β>0.