A central limit theorem for random closed geodesics: proof of the Chas-Li-Maskit conjecture
arXiv:1808.08422
Abstract
We prove a central limit theorem for the length of closed geodesics in any compact orientable hyperbolic surface. In the special case of a hyperbolic pair of pants, this settles a conjecture of Chas-Li-Maskit.
v2: 13 page, generalizes previous version to all surfaces. v1: 6 pages