Gap Distributions in Circle Packings
Number Theory
2015-09-11 v1 Dynamical Systems
Abstract
We determine the distribution of nearest neighbour spacings between the tangencies to a fixed circle in a class of circle packings generated by reflections. We use a combination of geometric tools and the theory of automorphic forms.
Cite
@article{arxiv.1509.02989,
title = {Gap Distributions in Circle Packings},
author = {Zeev Rudnick and Xin Zhang},
journal= {arXiv preprint arXiv:1509.02989},
year = {2015}
}
Comments
39 pages, 18 figures