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arXiv · 0908.4125

Contact process in a wedge

J. Theodore Cox·Nevena Maric·Rinaldo B. Schinazi
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Abstract

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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J. Theodore Cox, Nevena Maric, Rinaldo B. Schinazi. 2009-08-28. Contact process in a wedge. https://doi.org/10.1007/s10955-010-9950-7

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