排它过程单调性的一个充分条件
A SUFFICIENT CONDITION FOR MONOTONICITY OF EXCLUSION PROCESS
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摘要: 设S为可数集,X=0,1S,本文讨论由1或2中定义的以X为相空间的排它过程的单调性问题,得到了以下的判别单调性的充分条件:\forall \eta \leqslant \zeta, \eta, \zeta \in X,若对于所有的满足\eta(u)=\zeta(u)=1, \eta(v)=\zeta(v)=0 的 u, v \in S,都有c(u, v, \eta)=c(u, v, \zeta),则排它过程是单调的。Abstract: Lot S be a countable set,X=0,1S. In this paper, We disouss the monotonicity of exolusion process which defind in 1 or 2, and obtain the following sufficiont condition: Theorem. If \forall \eta \leqslant \zeta, \eta, \zeta \in X,\eta(u)=\zeta(u)=1, \eta(v)=\zeta(v)=0, it satisfies c(u, v, \eta)=c(u, v, \zeta), then the exclusion prooess is monotone.
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