The critical contact process seen from the right edge


Journal Article

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→∞. © 1991 Springer-Verlag.

Full Text

Duke Authors

Cited Authors

  • Cox, JT; Durrett, R; Schinazi, R

Published Date

  • September 1, 1991

Published In

Volume / Issue

  • 87 / 3

Start / End Page

  • 325 - 332

Electronic International Standard Serial Number (EISSN)

  • 1432-2064

International Standard Serial Number (ISSN)

  • 0178-8051

Digital Object Identifier (DOI)

  • 10.1007/BF01312213

Citation Source

  • Scopus