Gap Distributions in Circle Packings

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.

39 pages, 18 figures

References in corpus (1)

• Radial Density in Apollonian Packings

Cited by in corpus (2)

• Statistical Regularity of Apollonian Gaskets
• The gap distribution of directions in some Schottky groups