Ergodic Theory

  • Luís BarreiraEmail author
  • Claudia Valls
Part of the Problem Books in Mathematics book series (PBM)


In this chapter we consider some basic topics of ergodic theory. This includes the notion of an invariant measure, Poincaré’s recurrence theorem and Birkhoff’s ergodic theorem. We also consider briefly the notion of metric entropy of an invariant probability measure. The prerequisites from measure theory and integration theory are briefly recalled in the initial section.


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Instituto Superior TécnicoUniversidade de LisboaLisbonPortugal
  2. 2.Instituto Superior TécnicoUniversidade de LisboaLisbonPortugal

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