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
In this paper, we study suborbital graphs for congruence subgroup ?0(n) of the modular group ? to ha...
We compare two families of continued fractions algorithms, the symmetrized Rosen algorithm and the V...
Using geometric methods borrowed from the theory of Kleinian groups, we interpret the parabola theor...
Continued fractions have been extensively studied in number theoretic ways. In this text we will con...
This thesis uses hyperbolic geometry to study various classes of both real and complex continued fra...
Inspired by work of Ford, we describe a geometric representation of real and complex continued fract...
There are infinitely many ways to express a rational number as a finite continued fraction with nume...
Singerman introduced to the theory of maps on surfaces an object that is a universal cover for any m...
We examine the structure of Farey maps, a class of graph embeddings on surfaces that have received s...
Continued fractions are systematically studied in number theory, dynamical systems, and ergodic theo...
"Natural extension of arithmetic algorithms and S-adic system". July 20～24, 2015. edited by Shigeki ...
The Hecke groups are a family of groups of isometries in the hyperbolic plane. We use computer softw...
In this paper we study the geodesic continued fraction in the case of the Shimura curve coming from ...
In this note we show that the octagon Farey map introduced by Smillie and Ulcigrai in [9, 10] is an ...
41 pages, 10 figuresInternational audienceWe compare two families of continued fractions algorithms,...
In this paper, we study suborbital graphs for congruence subgroup ?0(n) of the modular group ? to ha...
We compare two families of continued fractions algorithms, the symmetrized Rosen algorithm and the V...
Using geometric methods borrowed from the theory of Kleinian groups, we interpret the parabola theor...
Continued fractions have been extensively studied in number theoretic ways. In this text we will con...
This thesis uses hyperbolic geometry to study various classes of both real and complex continued fra...
Inspired by work of Ford, we describe a geometric representation of real and complex continued fract...
There are infinitely many ways to express a rational number as a finite continued fraction with nume...
Singerman introduced to the theory of maps on surfaces an object that is a universal cover for any m...
We examine the structure of Farey maps, a class of graph embeddings on surfaces that have received s...
Continued fractions are systematically studied in number theory, dynamical systems, and ergodic theo...
"Natural extension of arithmetic algorithms and S-adic system". July 20～24, 2015. edited by Shigeki ...
The Hecke groups are a family of groups of isometries in the hyperbolic plane. We use computer softw...
In this paper we study the geodesic continued fraction in the case of the Shimura curve coming from ...
In this note we show that the octagon Farey map introduced by Smillie and Ulcigrai in [9, 10] is an ...
41 pages, 10 figuresInternational audienceWe compare two families of continued fractions algorithms,...
In this paper, we study suborbital graphs for congruence subgroup ?0(n) of the modular group ? to ha...
We compare two families of continued fractions algorithms, the symmetrized Rosen algorithm and the V...
Using geometric methods borrowed from the theory of Kleinian groups, we interpret the parabola theor...
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