Contact process in a wedge

Details Contact process in a wedge Contact process in a wedge

2009-08-28

arxiv.org/abs/0908.4125v1

Mathematics

Probability

11 pages, 4 figures

Scientific paper

We prove that the supercritical one-dimensional contact process survives in certain wedge-like space-time regions, and that when it survives it couples with the unrestricted contact process started from its upper invariant measure. As an application we show that a type of weak coexistence is possible in the nearest-neighbor ``grass-bushes-trees'' successional model introduced in Durrett and Swindle (1991).

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