The probability of survival for the biased voter model in a random environment

Irene Ferreira

Stochastic Processes and their Applications, 1990, vol. 34, issue 1, 25-38

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

Keywords: biased; voter; model; random; environment; random; walk; critical; exponent; probability; of; survival (search for similar items in EconPapers)
Date: 1990
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