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Geodesic Rosen Continued Fractions

Short, Ian and Walker, Mairi (2016). Geodesic Rosen Continued Fractions. The Quarterly Journal of Mathematics, 67(4) pp. 519–549.

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DOI (Digital Object Identifier) Link: https://doi.org/10.1093/qmath/haw025
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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.

Item Type: Journal Item
Copyright Holders: 2016 Oxford University Press
ISSN: 1464-3847
Academic Unit/School: Faculty of Science, Technology, Engineering and Mathematics (STEM) > Mathematics and Statistics
Faculty of Science, Technology, Engineering and Mathematics (STEM)
Faculty of Arts and Social Sciences (FASS) > Politics, Philosophy, Economics, Development, Geography
Faculty of Arts and Social Sciences (FASS)
Item ID: 46766
Depositing User: Ian Short
Date Deposited: 11 Jul 2016 14:51
Last Modified: 02 May 2019 14:23
URI: http://oro.open.ac.uk/id/eprint/46766
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