Geodesic Rosen continued fractions
Number Theory
2015-04-22 v2 Combinatorics
Abstract
We describe how to represent Rosen continued fractions by paths in a class of graphs that arise naturally in hyperbolic geometry. This representation gives insight into Rosen's original work about words in Hecke groups, and it also helps us to identify Rosen continued fraction expansions of shortest length.
Cite
@article{arxiv.1310.1585,
title = {Geodesic Rosen continued fractions},
author = {Ian Short and Mairi Walker},
journal= {arXiv preprint arXiv:1310.1585},
year = {2015}
}
Comments
29 pages, 20 figures