Ergodicity of skew products over linearly recurrent IETs
arXiv:1709.01575 · doi:10.1112/jlms.12210
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.
V2: Rewrite of Sections 3, 4.4, 4.5 and A