Geodesic
Every ergodic transformation is disjoint from almost every interval exchange transformation
Jon Chaika1
1 Department of Mathematics, University of Chicago, 5734 University Avenue, Chicago, IL 60637
Annals of mathematics, Tome 175 (2012) no. 1, pp. 237-253.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We show that every transformation is disjoint from almost every interval exchange transformation (IET), answering a question of Bufetov. In particular, we prove that almost every pair of IETs is disjoint. It follows that the product of almost every pair is uniquely ergodic. A key step in the proof is showing that any sequence of density 1 contains a rigidity sequence for almost every IET, strengthening a result of Veech.
DOI : 10.4007/annals.2012.175.1.6

Jon Chaika 1

1 Department of Mathematics, University of Chicago, 5734 University Avenue, Chicago, IL 60637 
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Jon Chaika. Every ergodic transformation is disjoint from almost every interval exchange transformation. Annals of mathematics, Tome 175 (2012) no. 1, pp. 237-253. doi : 10.4007/annals.2012.175.1.6. https://geodesic-test.mathdoc.fr/articles/10.4007/annals.2012.175.1.6/

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