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Journal of Mathematical Sciences

, Volume 113, Issue 4, pp 548–557 | Cite as

Skew Products and Ergodic Theorems for Group Actions

  • A. I. Bufetov
Article
  • 46 Downloads

Abstract

New ergodic theorems for the action of a free semigroup on a probabilistic space by measure-preserving maps are obtained. The method applied consists of associating with the original semigroup action a skew product over the shift on the space of infinite one-sided sequences of generators of the semigroup and then integrating the Birkhoff―Khinchin ergodic theorems along the base of the skew product. Bibliography: 17 titles.

Keywords

Group Action Probabilistic Space Ergodic Theorem Free Semigroup Semigroup Action 
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.

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Copyright information

© Plenum Publishing Corporation 2003

Authors and Affiliations

  • A. I. Bufetov
    • 1
  1. 1.Moscow Independent UniversityRussia

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