Counting visible circles on the sphere and Kleinian groups

Details Counting visible circles on the sphere and Kleinian groups Counting visible circles on the sphere and Kleinian groups

2010-04-13

arxiv.org/abs/1004.2129v3

Mathematics

Dynamical Systems

Main results are significantly improved, 16 pages, 1 figure

Scientific paper

For a circle packing P on the sphere invariant under a geometrically finite
Kleinian group, we compute the asymptotic of the number of circles in P of
spherical curvature at most $T$ which are contained in any given region.

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