Individual Closed Horocyclic Orbits on the Modular Surface
Number Theory
2011-09-06 v2 Dynamical Systems
Abstract
We track the trajectories of individual horocycles on the modular surface. Our tracking is constructive, and we thus \emph{effectively} establish topological transitivity and even line-transitivity for the horocyclic flow. We also describe homotopy class jumps that occur under continuous deformation of horocycles.
Cite
@article{arxiv.1103.6278,
title = {Individual Closed Horocyclic Orbits on the Modular Surface},
author = {Marvin Knopp and Mark Sheingorn},
journal= {arXiv preprint arXiv:1103.6278},
year = {2011}
}