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Transactions of the American Mathematical Society

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Ergodic and mixing properties of equilibrium measures for Markov processes


Author: Enrique D. Andjel
Journal: Trans. Amer. Math. Soc. 318 (1990), 601-614
MSC: Primary 60J25; Secondary 28D05, 60K35
MathSciNet review: 953535
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Abstract: Let $ S(t)$ be the semigroup corresponding to a Markov process on a metric space $ X$. Suppose $ S(t)$ commutes with a homeomorphism $ T$ of $ X$. We prove that under certain conditions, an equilibrium measure for the process is ergodic under $ T$. We also show that, under stronger conditions this measure must be mixing under $ T$. Several applications of these results are given.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1990-0953535-5
Keywords: Markov process, interacting particle system, ergodic, mixing
Article copyright: © Copyright 1990 American Mathematical Society