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arXiv · 1310.1585

Geodesic Rosen continued fractions

Ian Short·Mairi Walker
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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.

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Ian Short, Mairi Walker. 2015-04-21. Geodesic Rosen continued fractions. https://arxiv.org/abs/1310.1585

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