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A criterion for ergodicity of lattice interactions has been given by Dobrushin 2, and improved by Harris 3 and Holley 5. In this paper we present a simplified derivation of these results, and obtain stronger conditions for interactions on the one- and two-dimensional integer lattices, and the 3–Bethe lattice.
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David Griffeath (Sat,) studied this question.
www.synapsesocial.com/papers/6a0ee5a125c30b2cc7f9e573 — DOI: https://doi.org/10.1017/s0001867800040350
David Griffeath
Advances in Applied Probability
Cornell University
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