Dynamics on geometrically finite hyperbolic manifolds with applications to Apollonian circle packings and beyond
Dynamical Systems
2010-06-15 v1 Geometric Topology
Abstract
We present recent results on counting and distribution of circles in a given circle packing invariant under a geometrically finite Kleinian group and discuss how the dynamics of flows on geometrically finite hyperbolic manifolds are related. Our results apply to Apollonian circle packings, Sierpinski curves, Schottky dances, etc.
Keywords
Cite
@article{arxiv.1006.2590,
title = {Dynamics on geometrically finite hyperbolic manifolds with applications to Apollonian circle packings and beyond},
author = {Hee Oh},
journal= {arXiv preprint arXiv:1006.2590},
year = {2010}
}
Comments
To appear in the Proceedings of ICM, 2010