Abstract
In this paper we consider a version of the biased voter model in S, the set of all subsets of Z , in which the recovery rates, δ x , x∈ Z , are i.i.d. random variables and λ>0 is fixed. We prove a result about the convergence of the probability of survival of the process when λ tends to the critical value λ c. As a corollary we find that the critical exponent, β, associated with survival probability is ∞ in contrast to the nonrandom case in which β = 1.
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