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Strictly ergodic models for non-invertible transformations

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Abstract

We generalize a result of R. Jewett [J]: IfT is an ergodic measure preserving transformation on (X, Ω,λ),T not necessarily invertible, there exists a strictly ergodicS acting on (Y, Θ,ν), whereY is compact, such that (X, Ω,λ, T) is measure theoretically isomorphic to (Y, Θ,ν, S).

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Author notes

  1. A. Rosenthal

    Present address: Institute of Mathematics, The Hebrew University of Jerusalem, Givat Ram, Jerusalem, Israel

Authors and Affiliations

  1. Laboratoire de Probabilités, Université de Paris VI, Tour 56, 4, Place Jussieu, 75230, Paris, Cedex 05, France

    A. Rosenthal

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  1. A. Rosenthal
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Rosenthal, A. Strictly ergodic models for non-invertible transformations. Israel J. Math. 64, 57–72 (1988). https://doi.org/10.1007/BF02767370

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  • DOI: https://doi.org/10.1007/BF02767370

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