Article
Contact Process in a Wedge
Journal of Statistical Physics
(2010)
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).
Disciplines
Publication Date
2010
DOI
10.1007/s10955-010-9950-7
Citation Information
Nevena Maric, J. Theodore Cox and Rinaldo B. Schinazi. "Contact Process in a Wedge" Journal of Statistical Physics Vol. 139 Iss. 3 (2010) p. 506 - 517 Available at: http://works.bepress.com/nevena-maric/8/