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

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.
Year of publication:
2000
Authors: Häggström, Olle ; Pemantle, Robin
Published in:
Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 90.2000, 2, p. 207-222
Publisher: Elsevier
Type of publication: Article
Source:
Persistent link: https://www.econbiz.de/10008873169
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