Counting visible circles on the sphere and Kleinian groups
Dynamical Systems
2018-12-07 v3 Geometric Topology
Abstract
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 which are contained in any given region.
Cite
@article{arxiv.1004.2129,
title = {Counting visible circles on the sphere and Kleinian groups},
author = {Hee Oh and Nimish Shah},
journal= {arXiv preprint arXiv:1004.2129},
year = {2018}
}
Comments
Main results are significantly improved, 16 pages, 1 figure