Weak mixing for interval exchange transformations and translation flows
Dynamical Systems
2007-05-23 v1
Abstract
We show that a typical interval exchange transformation is either weakly mixing or it is an irrational rotation. We also conclude that a typical translation flow on a surface of genus (with prescribed singularity types) is weakly mixing.
Keywords
Cite
@article{arxiv.math/0406326,
title = {Weak mixing for interval exchange transformations and translation flows},
author = {Artur Avila and Giovanni Forni},
journal= {arXiv preprint arXiv:math/0406326},
year = {2007}
}
Comments
21 pages, no figures, first version