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arXiv · 1406.4021

Residual generic ergodicity of periodic group extensions over translation surfaces

David Ralston·Serge Troubetzkoy
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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}.

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David Ralston, Serge Troubetzkoy. 2014-06-16. Residual generic ergodicity of periodic group extensions over translation surfaces. https://arxiv.org/abs/1406.4021

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