The arithmetic-geometric scaling spectrum for continued fractions
نویسندگان
چکیده
منابع مشابه
A Geometric Representation of Continued Fractions
Inspired by work of Ford, we describe a geometric representation of real and complex continued fractions by chains of horocycles and horospheres in hyperbolic space. We explore this representation using the isometric action of the group of Möbius transformations on hyperbolic space, and prove a classical theorem on continued fractions.
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ژورنال
عنوان ژورنال: Arkiv för Matematik
سال: 2010
ISSN: 0004-2080
DOI: 10.1007/s11512-009-0102-8