We prove that an attractive nearest neighbor spin system on the integers has at most two extremal invariant measures, provided that its flip rates satisfy a mild positivity condition.
@article{1176995482,
author = {Liggett, Thomas M.},
title = {Attractive Nearest Neighbor Spin Systems on the Integers},
journal = {Ann. Probab.},
volume = {6},
number = {6},
year = {1978},
pages = { 629-636},
language = {en},
url = {http://dml.mathdoc.fr/item/1176995482}
}
Liggett, Thomas M. Attractive Nearest Neighbor Spin Systems on the Integers. Ann. Probab., Tome 6 (1978) no. 6, pp. 629-636. http://gdmltest.u-ga.fr/item/1176995482/