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Absence of mutual unbounded growth for almost all parameter values in the two-type Richardson model

Olle Häggström and Robin Pemantle

Stochastic Processes and their Applications, 2000, vol. 90, issue 2, 207-222

Abstract: We study the two-type Richardson model on , d[greater-or-equal, slanted]2, in the asymmetric case where the two particle types have different infection rates. Starting with a single particle of each type, and fixing the infection rate for one of the types, we show that mutual unbounded growth has probability 0 for all but at most countably many values of the other type's infection rate.

Date: 2000
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