English

The gap distribution of directions in some Schottky groups

Dynamical Systems 2016-10-05 v2 Mathematical Physics math.MP

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(H2)Isom(\mathbb{H}^2) in the Poincar\'e disk.

Keywords

Cite

@article{arxiv.1511.07943,
  title  = {The gap distribution of directions in some Schottky groups},
  author = {Xin Zhang},
  journal= {arXiv preprint arXiv:1511.07943},
  year   = {2016}
}

Comments

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