Individual Closed Horocyclic Orbits on the Modular Surface

Details Individual Closed Horocyclic Orbits on the Modular Surface Individual Closed Horocyclic Orbits on the Modular Surface

2011-03-31

arxiv.org/abs/1103.6278v2

Mathematics

Number Theory

Scientific paper

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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