The critical contact process seen from the right edge

J. T. Cox, R. Durrett, R. Schinazi

Research output: Contribution to journalArticle

4 Scopus citations

Abstract

Durrett (1984) proved the existence of an invariant measure for the critical and supercritical contact process seen from the right edge. Galves and Presutti (1987) proved, in the supercritical case, that the invariant measure was unique, and convergence to it held starting in any semi-infinite initial state. We prove the same for the critical contact process. We also prove that the process starting with one particle, conditioned to survive until time t, converges to the unique invariant measure as t→∞.

Original languageEnglish (US)
Pages (from-to)325-332
Number of pages8
JournalProbability Theory and Related Fields
Volume87
Issue number3
DOIs
StatePublished - Sep 1 1991

ASJC Scopus subject areas

  • Analysis
  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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