6 citations · 25 across the 18 of their papers we have counts for
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math.DS2021
Bounds on the Hausdorff dimension of Teichmüller horocycle flow orbit closures
Francisco Arana-Herrera
We show that the Hausdorff dimension of any proper Teichmüller horocycle flow orbit closure on any -invariant subvariety of Abelian or quadratic differ…
math.DS2021★ 2 cited
Effective mapping class group dynamics III: Counting filling closed curves on surfaces
Francisco Arana-Herrera
We prove a quantitative estimate with a power saving error term for the number of filling closed geodesics of a given topological type and length on an arbitrary closed, o…
math.DS2021★ 5 cited
Effective mapping class group dynamics II: Geometric intersection numbers
Francisco Arana-Herrera
We show that the action of the mapping class group on the space of closed curves of a closed surface effectively tracks the corresponding action on Teichmüller space in the followi…