Israel Journal of Mathematics

, Volume 69, Issue 1, pp 65–74 | Cite as

Skew products over the irrational rotation

  • D. A. Pask


Here we give conditions on a class of functions defining skew product extensions of irrational rotations on T which ensure ergodicity. These results produce extensions of the work done by P. Hellekalek and G. Larcher [HL1] and [HL2] to the larger class of functions which are piecewise absolutely continuous, have zero integral and have a derivative which is Riemann integrable with a non-zero integral.


Borel Function Irrational Number Fixed Proportion Continue Fraction Expansion Irrational Rotation 
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Copyright information

© The Weizmann Science Press of Israel 1990

Authors and Affiliations

  • D. A. Pask
    • 1
  1. 1.Mathematics InstituteUniversity of WarwickCoventryUK

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