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

DOI:
https://doi.org/10.1090/S0002-9947-1990-0953535-5

MathSciNet review:
953535

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Abstract | References | Similar Articles | Additional Information

Abstract: Let be the semigroup corresponding to a Markov process on a metric space . Suppose commutes with a homeomorphism of . We prove that under certain conditions, an equilibrium measure for the process is ergodic under . We also show that, under stronger conditions this measure must be mixing under . 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