The gap distribution of directions in some Schottky groups

Abstract

We prove the existence and some properties of the limiting gap distribution functions for the directions of orbits of some infinite covolume subgroups of $Isom({\mathbb{H}}^2)$ in the Poincaré disk.

20 pages. Experimental data are added compared to a previous version

References in corpus (2)

• On the Pair Correlation Density for Hyperbolic Angles
• Gap Distributions in Circle Packings