Residual generic ergodicity of periodic group extensions over translation surfaces
Dynamical Systems
2014-06-17 v1
Abstract
Continuing the work in \cite{ergodic-infinite}, we show that within each stratum of translation surfaces, there is a residual set of surfaces for which the geodesic flow in almost every direction is ergodic for almost-every periodic group extension produced using a technique referred to as \emph{cuts}.
Keywords
Cite
@article{arxiv.1406.4021,
title = {Residual generic ergodicity of periodic group extensions over translation surfaces},
author = {David Ralston and Serge Troubetzkoy},
journal= {arXiv preprint arXiv:1406.4021},
year = {2014}
}