118 citations · 293 across the 11 of their papers we have counts for
Showing math.GTShow all
3 papers · 1 filter
math.GT2019
Effective counting of simple closed geodesics on hyperbolic surfaces
Alex Eskin, Maryam Mirzakhani, Amir Mohammadi
We prove a quantitative estimate, with a power saving error term, for the number of simple closed geodesics of length at most on a compact surface equipped with a Riemannian me…
math.GT2017★ 39 cited
Lengths of closed geodesics on random surfaces of large genus
Maryam Mirzakhani, Bram Petri
We prove Poisson approximation results for the bottom part of the length spectrum of a random closed hyperbolic surface of large genus. Here, a random hyperbolic surface is a surfa…
math.GT2016
Counting Mapping Class group orbits on hyperbolic surfaces
Maryam Mirzakhani
Let be a surface of genus with marked points. Let be a complete hyperbolic metric on with cusps. Every isotopy class of a closed curve $γ…