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

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

2006-05-30

arxiv.org/abs/math/0605761v1

Comment. Math. Helv. 83 (2008), no. 1, 1--20.

Mathematics

Geometric Topology

20 pages

Scientific paper

10.1007/s11005-007-0201-z

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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