%0 Journal Article
%T ON SARNAK'S CONJECTURE AND VEECH'S QUESTION FOR INTERVAL EXCHANGES
%+ Institut de mathématiques de Luminy (IML)
%+ Institut de Mathématiques de Marseille (I2M)
%A Ferenczi, Sébastien
%A Mauduit, Christian
%< avec comité de lecture
%@ 0021-7670
%J Journal d'analyse mathématique
%I Springer
%V 134
%8 2018
%D 2018
%Z Mathematics [math]Journal articles
%X Using a criterion due to Bourgain [10] and the generalization of the self-dual induction defined in [18], for each primitive permutation we build a large family of k-interval exchanges satisfying Sarnak's conjecture, and, for at least one permutation in each Rauzy class, smaller families for which we have weak mixing, which implies a prime number theorem, and simplicity in the sense of Veech.
%G English
%2 https://hal.science/hal-01263088/document
%2 https://hal.science/hal-01263088/file/fm2.pdf
%L hal-01263088
%U https://hal.science/hal-01263088
%~ CNRS
%~ UNIV-AMU
%~ EC-MARSEILLE
%~ IML
%~ I2M
%~ I2M-2014-