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

[摘要] We study the two-type Richardson model on Z(d), d greater than or equal to 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. (C) 2000 Elsevier Science B.V. All rights reserved.

[发布日期] 2000-12-01