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).
Cox, J. Theodore; Maric, Nevena; and Schinazi, Rinaldo, "Contact Process in a Wedge" (2009). Mathematics - Faculty Scholarship. 42.
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