The distribution of geodesic excursions into the neighborhood of a cone singularity on a hyperbolic 2-orbifold
classification
🧮 math.GT
math.DS
keywords
distributionconegeodesichyperbolicneighborhoodorbifoldsequencesingularity
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A generic geodesic on a finite area, hyperbolic 2-orbifold exhibits an infinite sequence of penetrations into a neighborhood of a cone singularity, so that the sequence of depths of maximal penetration has a limiting distribution. The distribution function is the same for all such surfaces and is described by a fairly simple formula.
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