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)


Transition Matrix Discrete Spectrum Compact Abelian Group Bernoulli Shift Markov Shift 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    H. Furstenberg Disjointness in Ergodic Theory. Math. Systems Theory 1 (1967) 1–50.MathSciNetzbMATHCrossRefGoogle Scholar
  2. [2]
    R. Jones and W. Parry Compact abelian group extensions of dynamical systems. Compositio Math.Google Scholar
  3. [3]
    W. Parry Entropy and generations in Ergodic Theory Benjamin 1969.Google Scholar
  4. [4]
    W. Parry and P. Walters Endomorphisms of a Lebesque space Bull A. M. S. 78 1972 272–276.MathSciNetzbMATHCrossRefGoogle Scholar
  5. [5]
    V. A. Rohlin On the fundamental ideas of measure theory. A. M. S. translations Series 1. vol. 10 p.1–54.Google Scholar
  6. [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. [7]
    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

Personalised recommendations