Contact process in a wedge

Theodore T. Cox, Nevena Marić, Rinaldo Schinazi

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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 (Stoch. Proc. Appl. 37:19-31, 1991).

Original languageEnglish (US)
Pages (from-to)506-517
Number of pages12
JournalJournal of Statistical Physics
Volume139
Issue number3
DOIs
StatePublished - May 2010

Keywords

  • Contact process
  • Grass-bushes-trees

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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