Journal d’Analyse Mathématique

, Volume 31, Issue 1, pp 1–18 | Cite as

Sigma-finite invariant measures for smooth mappings of the circle

  • Y. Katznelson


Invariant Measure Rotation Number Orientation Preserve Continue Fraction Expansion Irrational Rotation Number 
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  1. 1.
    M. R. Herman,Sur la conjugaison différentiable des difféomorphismes du cercle à des rotations, à paraître. See also Pierre Deligne,Les diffeomorphismes du cercle, Seminaire Bourbaki, no 477, 1975/76.Google Scholar
  2. 2.
    Y. Katznelson,Smooth mappings of the circle without sigma-finite invariant measures, to appear.Google Scholar
  3. 3.
    W. Krieger,On the Araki-Woods asymptotic ratio set and non-singular transformations of a measure space, inContributions to Ergodic Theory and Probability, Springer Lecture Notes No. 160, 1970, pp. 158–177.Google Scholar

Copyright information

© The Weizmann Science Press of Israel 1977

Authors and Affiliations

  • Y. Katznelson
    • 1
  1. 1.Institute of MathematicsThe Hebrew University of JerusalemJerusalemIsrael

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