GEODESIC ROSEN CONTINUED FRACTIONS

被引：8

作者：

Short, Ian ^{[1
]}

Walker, Mairi ^{[2
]}

机构：

[1] Open Univ, Dept Math & Stat, Milton Keynes MK7 6AA, Bucks, England

[2] Univ Edinburgh, Sch Math, Edinburgh EH9 3FD, Midlothian, Scotland

来源：

QUARTERLY JOURNAL OF MATHEMATICS | 2016年 / 67卷 / 04期

关键词：

HECKE TRIANGLE GROUPS; NATURAL EXTENSIONS; SYMBOLIC DYNAMICS;

D O I：

10.1093/qmath/haw025

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：519 / 549

页数：31

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