Contact process in a wedge
Probability
2015-05-14 v1
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).
Keywords
Cite
@article{arxiv.0908.4125,
title = {Contact process in a wedge},
author = {J. Theodore Cox and Nevena Maric and Rinaldo B. Schinazi},
journal= {arXiv preprint arXiv:0908.4125},
year = {2015}
}
Comments
11 pages, 4 figures