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Some results on the classification of non-invertible measure preserving transformations

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Recent Advances in Topological Dynamics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 318))

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References

  1. H. Furstenberg Disjointness in Ergodic Theory. Math. Systems Theory 1 (1967) 1–50.

    Article  MathSciNet  MATH  Google Scholar 

  2. R. Jones and W. Parry Compact abelian group extensions of dynamical systems. Compositio Math.

    Google Scholar 

  3. W. Parry Entropy and generations in Ergodic Theory Benjamin 1969.

    Google Scholar 

  4. W. Parry and P. Walters Endomorphisms of a Lebesque space Bull A. M. S. 78 1972 272–276.

    Article  MathSciNet  MATH  Google Scholar 

  5. V. A. Rohlin On the fundamental ideas of measure theory. A. M. S. translations Series 1. vol. 10 p.1–54.

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  6. V. G. Vinokurov Two nonisomorphic exact endomorphisms of a Lebesque space with isomorphic decomposition sequences. "Fan" Uzbek S.S.R. Tashlcent 1970 43–45.

    Google Scholar 

  7. P. Walters On roots of n: 1 measure-preserving transformations. Journal London Math. Soc. 44(1969), 7–14.

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Anatole Beck

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© 1973 Springer-Verlag

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Walters, P. (1973). Some results on the classification of non-invertible measure preserving transformations. In: Beck, A. (eds) Recent Advances in Topological Dynamics. Lecture Notes in Mathematics, vol 318. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061745

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  • DOI: https://doi.org/10.1007/BFb0061745

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-06187-8

  • Online ISBN: 978-3-540-38414-4

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