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math.NT2010
Individual Horocyclic Orbits on , Closed and Otherwise
Marvin Knopp, Mark Sheingorn
This paper endeavors to track the trajectories of individual horocycles on \modsurf. It is far more common to study \emph{sets} of such trajectories, seeking some asymptotic behavi…
math.NT2010
Horocyclic Orbits on $Γ(1)\frontslash\mathcal{H}$, \ Closed and Otherwise
Marvin Knopp, Mark Sheingorn
This paper studies certain horocyclic orbits on $Γ(1)\frontslash\mathcal{H}$. In the first instance we examine horocycles defined using the pencil of circles whose common point (in…