A central limit theorem for random closed geodesics: proof of the Chas-Li-Maskit conjecture
Geometric Topology
2018-10-02 v2 Dynamical Systems
Group Theory
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.
Cite
@article{arxiv.1808.08422,
title = {A central limit theorem for random closed geodesics: proof of the Chas-Li-Maskit conjecture},
author = {Ilya Gekhtman and Samuel J. Taylor and Giulio Tiozzo},
journal= {arXiv preprint arXiv:1808.08422},
year = {2018}
}
Comments
v2: 13 page, generalizes previous version to all surfaces. v1: 6 pages