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August, 1978 Attractive Nearest Neighbor Spin Systems on the Integers
Thomas M. Liggett
Ann. Probab. 6(4): 629-636 (August, 1978). DOI: 10.1214/aop/1176995482

Abstract

We prove that an attractive nearest neighbor spin system on the integers has at most two extremal invariant measures, provided that its flip rates satisfy a mild positivity condition.

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Thomas M. Liggett. "Attractive Nearest Neighbor Spin Systems on the Integers." Ann. Probab. 6 (4) 629 - 636, August, 1978. https://doi.org/10.1214/aop/1176995482

Information

Published: August, 1978
First available in Project Euclid: 19 April 2007

zbMATH: 0381.60095
MathSciNet: MR494569
Digital Object Identifier: 10.1214/aop/1176995482

Subjects:
Primary: 60K35

Keywords: contact processes , coupling , infinite particle systems , invariant measure

Rights: Copyright © 1978 Institute of Mathematical Statistics

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Vol.6 • No. 4 • August, 1978
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