Probability Theory and Related Fields

, Volume 87, Issue 3, pp 325–332 | Cite as

The critical contact process seen from the right edge

  • J. T. Cox
  • R. Durrett
  • R. Schinazi


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 timet, converges to the unique invariant measure ast→∞.


Stochastic Process Probability Theory Invariant Measure Mathematical Biology Contact Process 
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Copyright information

© Springer-Verlag 1991

Authors and Affiliations

  • J. T. Cox
    • 1
  • R. Durrett
    • 2
  • R. Schinazi
    • 1
  1. 1.Department of MathematicsSyracuse UniversitySyracuseUSA
  2. 2.Department of MathematicsCornell UniversityIthacaUSA

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