Attractive Nearest Neighbor Spin Systems on the Integers

Thomas M. Liggett

doi:10.1214/aop/1176995482

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Home > Journals > Ann. Probab. > Volume 6 > Issue 4 > Article

August, 1978 Attractive Nearest Neighbor Spin Systems on the Integers

Thomas M. Liggett

Ann. Probab. 6(4): 629-636 (August, 1978). DOI: 10.1214/aop/1176995482

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Abstract

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.

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Thomas M. Liggett. "Attractive Nearest Neighbor Spin Systems on the Integers." Ann. Probab. 6 (4) 629 - 636, August, 1978. https://doi.org/10.1214/aop/1176995482