Individual Closed Horocyclic Orbits on the Modular Surface

Published 31 Mar 2011 in math.NT and math.DS | (1103.6278v2)

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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