An introduction to joinings in ergodic theory

Details An introduction to joinings in ergodic theory An introduction to joinings in ergodic theory

2005-07-21

arxiv.org/abs/math/0507429v2

Discrete and Continuous Dynamical Systems 15, n?1 (2006) 121-142

Mathematics

Dynamical Systems

Scientific paper

Since their introduction by Furstenberg in 1967, 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 on - 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.

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