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The entirely coupled region of supercritical contact processes
Published online by Cambridge University Press: 24 October 2016
Abstract
We consider translation-invariant, finite-range, supercritical contact processes. We show the existence of unbounded space-time cones within which the descendancy of the process from full occupancy may with positive probability be identical to that of the process from the single site at its apex. The proof comprises an argument that leans upon refinements of a successful coupling among these two processes, and is valid in d-dimensions.
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- Copyright © Applied Probability Trust 2016