Ergodicity of skew products over linearly recurrent IETs
Dynamical Systems
2019-02-20 v2
Abstract
We prove that the skew product over a linearly recurrent interval exchange transformation defined by almost any real-valued, mean-zero linear combination of characteristic functions of intervals is ergodic with respect to Lebesgue measure.
Keywords
Cite
@article{arxiv.1709.01575,
title = {Ergodicity of skew products over linearly recurrent IETs},
author = {Jon Chaika and Donald Robertson},
journal= {arXiv preprint arXiv:1709.01575},
year = {2019}
}
Comments
V2: Rewrite of Sections 3, 4.4, 4.5 and A