On a theorem of Furstenberg and the structure of topologically ergodic measures
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- by Lewis Pakula and Robert Sine
- Proc. Amer. Math. Soc. 65 (1977), 52-56
- DOI: https://doi.org/10.1090/S0002-9939-1977-0507575-X
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Abstract:
An almost everywhere convergence theorem for topologically ergodic measures stated by Furstenberg for homeomorphisms is extended to Markov operators on $C(X)$ with compact Hausdörff state space. A structure theorem for topologically ergodic measures is obtained in the compact metric case again in the more general setting of Markov operators.References
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Bibliographic Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 65 (1977), 52-56
- MSC: Primary 28A65; Secondary 60J05
- DOI: https://doi.org/10.1090/S0002-9939-1977-0507575-X
- MathSciNet review: 0507575