Geodesic
Ergodicity of Particle Systems
Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 3, pp. 419-431

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We study shift ergodicity, mixing, and related problems for invariant measures of interacting particle systems. The models we consider here include ferromagnetic stochastic Ising models, voter models, contact processes, exclusion processes, three-opinion noisy biased voter models, multi-opinion voter models, etc. Our results answer some questions for these models. One of the main techniques involved is a duality argument. 
@article{TMF_2002_131_3_a4,
     author = {Jinwen Chen},
     title = {Ergodicity of {Particle} {Systems}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {419--431},
     publisher = {mathdoc},
     volume = {131},
     number = {3},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2002_131_3_a4/}
}
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Jinwen Chen. Ergodicity of Particle Systems. Teoretičeskaâ i matematičeskaâ fizika, Tome 131 (2002) no. 3, pp. 419-431. http://geodesic.mathdoc.fr/item/TMF_2002_131_3_a4/