Course topics

  1. Measure preserving systems for Borel group actions
  2. Ergodicity, ergodic decomposition, mixing and weak mixing
  3. Minimality and unique ergodicity
  4. Mean and pointwise ergodic theorems for a single transformation
  5. (*) Joinings
  6. (*) Decomposition of a measure relative to a partition and conditional measures
  7. (*) Entropy
  8. (*) Ergodic theorems for general groups and amenability.

(*) denotes optional topics to be covered according to class level and teacher discretion.

Course Information

University course catalogue:
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