Ergodic Decomposition

  • Yves Coudène
Chapter
First Online:
Part of the Universitext book series (UTX)

Abstract

When a system is not ergodic, it is possible to decompose the underlying space into several pieces, so that the transformation is ergodic on each of these pieces. We call this a partition into ergodic components. The number of components may be uncountable, but the resulting partition still satisfies a certain regularity property: it is possible to approximate it with partitions having finitely many pieces.

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Copyright information

© Springer-Verlag London 2016

Authors and Affiliations

  • Yves Coudène
    • 1
  1. 1.Université de Bretagne OccidentaleBrestFrance

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