1 citations · 2 across the 3 of their papers we have counts for
3 papers
math.GT2024
Counting subgroups via Mirzakhani's curve counting
Dounnu Sasaki
Given a hyperbolic surface of genus with cusps, Mirzakhani proved that the number of closed geodesics of length at most and of a given type is asymptotic to $cL^{6g…
math.GT2020★ 1 cited
Currents on cusped hyperbolic surfaces and denseness property
Dounnu Sasaki
The space of geodesic currents on a hyperbolic surface can be considered as a completion of the set of weighted closed geodesics on when is compact, s…
math.GT2017★ 1 cited
Subset currents on surfaces
Dounnu Sasaki
Subset currents on hyperbolic groups were introduced by Kapovich and Nagnibeda as a generalization of geodesic currents on hyperbolic groups, which were introduced by Bonahon and h…