Pré-Publication, Document De Travail Année : 2009

Notes on Austin's multiple ergodic theorem

Résumé

The purpose of this note is to present my understanding of Tim Austin's proof of the multiple ergodic theorem for commuting transformations, emphasizing on the use of joinings, extensions and factors. The existence of a sated extension, which is a key argument in the proof, is presented in a general context.

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Dates et versions

hal-00400975 , version 1 (02-07-2009)
hal-00400975 , version 2 (07-07-2009)
hal-00400975 , version 3 (15-07-2009)
hal-00400975 , version 4 (16-10-2009)

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Thierry de La Rue. Notes on Austin's multiple ergodic theorem. 2009. ⟨hal-00400975v4⟩
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