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Journal Articles Geometriae Dedicata Year : 2017

Residual generic ergodicity of periodic group extensions over translation surfaces

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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Dates and versions

hal-01006475 , version 1 (16-06-2014)

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David Ralston, Serge Troubetzkoy. Residual generic ergodicity of periodic group extensions over translation surfaces. Geometriae Dedicata, 2017, 187 (1), pp.219-239. ⟨10.1007/s10711-016-0198-5⟩. ⟨hal-01006475⟩
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