Artículos de revistas
The Probability Of Survival For The Biased Voter Model In A Random Environment
Registro en:
Stochastic Processes And Their Applications. , v. 34, n. 1, p. 25 - 38, 1990.
3044149
10.1016/0304-4149(90)90054-V
2-s2.0-38249020293
Autor
Ferreira I.
Institución
Resumen
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, δx, 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 λc. 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. © 1990. 34 1 25 38 Billingsley, (1979) Probability and Measure, , Wiley, New York Billingsley, CBMS-NSF (1971) Weak convergence of measures Applications in probability, , Regional Conference Series in Applied Mathematics Chayes, Chayes, Inequality for the infinite-cluster density in Bernoulii percolation (1986) Phys. Rev. Lett., 56, pp. 1619-1622 Chung, (1974) A Course in Probability Theory, , 2nd ed., Academic Press, New York Durrett, On the growth of one-dimensional contact processes (1980) The Annals of Probability, 8, pp. 890-907 Durrett, (1984) Brownian Motion and Maringales on Analysis, , Wadsworth, Belmont, CA Durrett, (1988) Lecture Notes on Particle System and Percolation, , Wadsworth, Belmont, CA Freedman, (1983) Brownian Motion and Diffusion, , Springer, New York Hoel, Port, Stone, (1972) Introduction to Stochastic Process, , Houghton Mifflin, Boston, MA Liggett, (1985) Interacting Particle Systems, , Springer, New York Sinai, The limiting behavior of a one-dimensional random walk in a random environment (1982) Theory of Probability & Its Applications, 27, pp. 256-268 Solomon, Random walks in a random environment (1975) The Annals of Probability, 3, pp. 1-31