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Non-affine horocycle orbit closures on strata of translation surfaces: new examples (1602.04443v1)
Published 14 Feb 2016 in math.DS and math.GT
Abstract: We investigate specific examples of locally-defined real vector-fields on strata of translation surfaces. Integrating SL(2,R)-loci of Veech surfaces along these vector-fields yield interesting new examples of horocyle-invariant ergodic measures. These measures are supported on closed immersed manifolds with boundary that approach the boundary of strata in a novel way.
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