11 citations · 11 across the 4 of their papers we have counts for
4 papers
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…
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…
A Transversal for horocycle flow on H(2)
Grace Work
Using zippered rectangle coordinates we parametrize a Poincaré section for horocycle flow on the space of genus 2 translation surfaces with one singular cone point of angle . I…
The distribution of gaps for saddle connections on the octagon
Caglar Uyanik, Grace Work
We explicitly compute the limiting gap distribution for slopes of saddle connections on the flat surface associated to the regular octagon with opposite sides identified. This is t…