Geodesic
A Complete Convergence Theorem for Attractive Reversible Nearest Particle Systems
Canadian journal of mathematics, Tome 49 (1997) no. 2, pp. 321-337

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we prove a complete convergence theorem for attractive, reversible, super-critical nearest particle systems satisfying a natural regularity condition. In particular this implies that under these conditions there exist precisely two extremal invariant measures. The result we prove is relevant to question seven of Liggett (1985), Chapter VII. 
Mountford, T. S. A Complete Convergence Theorem for Attractive Reversible Nearest Particle Systems. Canadian journal of mathematics, Tome 49 (1997) no. 2, pp. 321-337. doi: 10.4153/CJM-1997-016-7
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