The distribution of geodesic excursions into the neighborhood of a cone singularity on a hyperbolic 2-orbifold

Andrew Haas

doi:10.1007/s11005-007-0201-z

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The distribution of geodesic excursions into the neighborhood of a cone singularity on a hyperbolic 2-orbifold

Andrew Haas

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Abstract

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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Andrew Haas. 2006-05-30. The distribution of geodesic excursions into the neighborhood of a cone singularity on a hyperbolic 2-orbifold. https://doi.org/10.1007/s11005-007-0201-z

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