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Probability and Phase Transition pp 209–226Cite as

Survival and Coexistence in Interacting Particle Systems

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Part of the book series: NATO ASI Series ((ASIC,volume 420))

Abstract

A fifteen year old technique for proving survival of the basic one dimensional contact process is extended in order to obtain improved upper bounds for contact like processes. Comparison techniques are described which can be combined with these survival results to determine exactly which threshold voter models coexist. The paper ends with a bibliography of most of the papers written about interacting particle systems since the author’s book on this subject appeared in 1985.

Preparation of this paper was supported in part by NSF Grant 91–00725.

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  1. Department of Mathematics, University of California, Los Angeles, CA, 90024, USA

    T. M. Liggett

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  1. Statistical Laboratory, University of Cambridge, Cambridge, UK

    Geoffrey Grimmett

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Liggett, T.M. (1994). Survival and Coexistence in Interacting Particle Systems. In: Grimmett, G. (eds) Probability and Phase Transition. NATO ASI Series, vol 420. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8326-8_12

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  • DOI: https://doi.org/10.1007/978-94-015-8326-8_12

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