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math.DS2021
Unique equilibrium states for geodesic flows on flat surfaces with singularities
Benjamin Call, David Constantine, Alena Erchenko +2
Consider a compact surface of genus equipped with a metric that is flat everywhere except at finitely many cone points with angles greater than . Following the techniq…
math.DS2019
Discretely shrinking targets in moduli space
Spencer Dowdall, Grace Work
We consider the discrete shrinking target problem for Teichmüller geodesic flow on the moduli space of abelian or quadratic differentials and prove that the discrete geodesic traje…