The gap distribution of slopes on the golden L
Dynamical Systems
2013-08-21 v1 Geometric Topology
Number Theory
Abstract
We give an explicit formula for the limiting gap distribution of slopes of saddle connections on the golden L, or any translation surface in its SL(2, R)-orbit, in particular the double pentagon. This is the first explicit computation of the distribution of gaps for a flat surface that is not a torus cover.
Keywords
Cite
@article{arxiv.1308.4203,
title = {The gap distribution of slopes on the golden L},
author = {Jayadev S. Athreya and Jon Chaika and Samuel Lelievre},
journal= {arXiv preprint arXiv:1308.4203},
year = {2013}
}