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A stability criterion for attractive nearest neighbor spin systems on Z

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Publication:1163300
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DOI10.1214/aop/1176993914zbMath0483.60090OpenAlexW2086849233MaRDI QIDQ1163300

David Griffeath, Lawrence F. Gray

Publication date: 1982

Published in: The Annals of Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aop/1176993914

zbMATH Keywords

perturbationspercolationcontact processesnonergodicityattractive nearest neighbour spin systems


Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35)


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Reliable computation with cellular automata, A simple proof of the stability criterion of Gray and Griffeath, The 1996 Wald memorial lectures. Stochastic models of interacting systems, The basic contact processes, The survival of branching annihilating random walk, The positive rates problem for attractive nearest neighbor spin systems on ?



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