4 papers
Teichmüller theory via random simple closed curves
Curtis T. McMullen, Tina Torkaman
We show the map sending a compact hyperbolic surface to a random simple closed geodesic on determines a proper embedding of Teichmüller space into the spac…
Effective equidistribution of intersection points in hyperbolic manifolds
Tina Torkaman, Yongquan Zhang
In this paper, we establish effective equidistribution of transverse intersection points between properly immersed totally geodesic submanifolds of complementary dimensions in a fi…
Geodesic planes in a geometrically finite end and the halo of a measured lamination
Tina Torkaman, Yongquan Zhang
Recent works [MMO1, arXiv:1802.03853, arXiv:1802.04423, arXiv:2101.08956] have shed light on the topological behavior of geodesic planes in the convex core of a geometrically finit…
Train tracks, entropy, and the halo of a measured lamination
Tina Torkaman, Yongquan Zhang
Let be a measured geodesic lamination on a complete hyperbolic surface of finite area. Assuming is not a multicurve, our main result establishes the exi…