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An introduction to joinings in ergodic theory

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  • Since their introduction by Furstenberg [3], joinings have proved a very powerful tool in ergodic theory. We present here some aspects of the use of joinings in the study of measurable dynamical systems, emphasizing
    • the links between the existence of a non trivial common factor and the existence of a joining which is not the product measure,
    • how joinings can be employed to provide elegant proofs of classical results,
    • how joinings are involved in important questions of ergodic theory, such as pointwise convergence or Rohlin's multiple mixing problem.
    Mathematics Subject Classification: Primary: 37A05, 37A35; Secondary: 60G10.

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