Key points are not available for this paper at this time.
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.
David Griffeath (1975) studied this question.