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February, 1982 A Stability Criterion for Attractive Nearest Neighbor Spin Systems on $\mathbb{Z}$
Lawrence Gray, David Griffeath
Ann. Probab. 10(1): 67-85 (February, 1982). DOI: 10.1214/aop/1176993914

Abstract

We study attractive nearest neighbor spin systems on the integers having "all 0's" and "all 1's" as traps. A necessary and sufficient condition for stability under small one-sided perturbations of the flip rates is established.

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Lawrence Gray. David Griffeath. "A Stability Criterion for Attractive Nearest Neighbor Spin Systems on $\mathbb{Z}$." Ann. Probab. 10 (1) 67 - 85, February, 1982. https://doi.org/10.1214/aop/1176993914

Information

Published: February, 1982
First available in Project Euclid: 19 April 2007

zbMATH: 0483.60090
MathSciNet: MR637377
Digital Object Identifier: 10.1214/aop/1176993914

Keywords: 60 K 35 , contact processes , interacting particle systems , nonergodicity , percolation

Rights: Copyright © 1982 Institute of Mathematical Statistics

Vol.10 • No. 1 • February, 1982
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