2 papers
math.NT2015
Even-integer continued fractions and the Farey tree
Ian Short, Mairi Walker
Singerman introduced to the theory of maps on surfaces an object that is a universal cover for any map. This object is a tessellation of the hyperbolic plane together with a certai…
math.NT2013
Geodesic Rosen continued fractions
Ian Short, Mairi Walker
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 ori…