Summary
Finite nearest particle systems are certain continuous time Markov chains on the collection of finite subsets ofZ 1. In this paper, we give a sufficient condition for such a system to survive, in the sense that the probability of absorption at 0 is less than one. This theorem generalizes earlier results for the one-dimensional contact process.
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Research supported in part by NSF Grant MCS83-00836
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Liggett, T.M. Finite nearest particle systems. Z. Wahrscheinlichkeitstheorie verw Gebiete 68, 65–73 (1984). https://doi.org/10.1007/BF00535174
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DOI: https://doi.org/10.1007/BF00535174