Abstract
We consider nonreversible exchange dynamics in $Z^d$ and prove that the stationary, translation invariant measures satisfy the following property: if one of them is a Gibbs measure with a summable potential ${J_R, R \subset Z^d}$, then all of them are convex combinations of Gibbs measures with the same potential, but different chemical potentials $J_{\{0\}}$.
Citation
Amine Asselah. "Nonreversible stationary measures for exchange processes." Ann. Appl. Probab. 8 (4) 1303 - 1311, November 1998. https://doi.org/10.1214/aoap/1028903382
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