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

  • Peter Walters
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 318)

Keywords

Transition Matrix Discrete Spectrum Compact Abelian Group Bernoulli Shift Markov Shift 
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References

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    H. Furstenberg Disjointness in Ergodic Theory. Math. Systems Theory 1 (1967) 1–50.MathSciNetzbMATHCrossRefGoogle Scholar
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    R. Jones and W. Parry Compact abelian group extensions of dynamical systems. Compositio Math.Google Scholar
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    W. Parry Entropy and generations in Ergodic Theory Benjamin 1969.Google Scholar
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    W. Parry and P. Walters Endomorphisms of a Lebesque space Bull A. M. S. 78 1972 272–276.MathSciNetzbMATHCrossRefGoogle Scholar
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    V. A. Rohlin On the fundamental ideas of measure theory. A. M. S. translations Series 1. vol. 10 p.1–54.Google Scholar
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    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
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    P. Walters On roots of n: 1 measure-preserving transformations. Journal London Math. Soc. 44(1969), 7–14.MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 1973

Authors and Affiliations

  • Peter Walters
    • 1
  1. 1.The University of WarwickCoventryEngland

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