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arXiv · 1103.6278

Individual Closed Horocyclic Orbits on the Modular Surface

Marvin Knopp·Mark Sheingorn
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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.

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Marvin Knopp, Mark Sheingorn. 2011-09-05. Individual Closed Horocyclic Orbits on the Modular Surface. https://arxiv.org/abs/1103.6278

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