Apollonian circle packings: Dynamics and Number theory
Dynamical Systems
2014-01-27 v2 Geometric Topology
Number Theory
Abstract
We give an overview of various counting problems for Apollonian circle packings, which turn out to be related to problems in dynamics and number theory for thin groups. This survey article is an expanded version of my lecture notes prepared for the 13th Takagi lectures given at RIMS, Kyoto in the fall of 2013.
Keywords
Cite
@article{arxiv.1312.1383,
title = {Apollonian circle packings: Dynamics and Number theory},
author = {Hee Oh},
journal= {arXiv preprint arXiv:1312.1383},
year = {2014}
}
Comments
To appear in Japanese Journal of Math