6 citations · 25 across the 18 of their papers we have counts for
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math.DS2020★ 1 cited
Effective mapping class group dynamics I: Counting lattice points in Teichmüller space
Francisco Arana-Herrera
We prove a quantitative estimate with a power saving error term for the number of points in a mapping class group orbit of Teichmüller space that lie within a Teichmüller metric ba…
math.DS2020★ 6 cited
Counting hyperbolic multi-geodesics with respect to the lengths of individual components
Francisco Arana-Herrera
Given a connected, oriented, complete, finite area hyperbolic surface of genus with punctures, Mirzakhani showed that the number of multi-geodesics on of total hype…