On the ergodicity of a class of real skew product extensions of approximations
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- by G. R. Goodson PDF
- Proc. Amer. Math. Soc. 86 (1982), 417-422 Request permission
Abstract:
In this paper conditions are given for real skew product extensions of cyclic $KS$ approximations to be ergodic. These results are then applied to show that if ${T_\alpha }$ is an irrational rotation on the unit circle, there exists an uncountable dense collection of measurable sets for which the corresponding skew product extension is ergodic.References
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Additional Information
- © Copyright 1982 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 86 (1982), 417-422
- MSC: Primary 28D99
- DOI: https://doi.org/10.1090/S0002-9939-1982-0671207-2
- MathSciNet review: 671207