An introduction to joinings in ergodic theory
Dynamical Systems
2007-05-23 v2
Abstract
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.
Keywords
Cite
@article{arxiv.math/0507429,
title = {An introduction to joinings in ergodic theory},
author = {Thierry De La Rue},
journal= {arXiv preprint arXiv:math/0507429},
year = {2007}
}