Ergodic Properties of Compositions of Interval Exchange Maps and Rotations
Dynamical Systems
2015-06-11 v2 Geometric Topology
Abstract
We study the ergodic properties of compositions of interval exchange transformations and rotations. We show that for any interval exchange transformation T, there is a full measure set of \alpha in [0, 1) so that T composed with R_{\alpha} is uniquely ergodic, where R_{\alpha} is rotation by \alpha.
Keywords
Cite
@article{arxiv.1210.5013,
title = {Ergodic Properties of Compositions of Interval Exchange Maps and Rotations},
author = {Jayadev S. Athreya and Michael Boshernitzan},
journal= {arXiv preprint arXiv:1210.5013},
year = {2015}
}
Comments
To appear in Nonlinearity