A central limit theorem for random closed geodesics: proof of the Chas-Li-Maskit conjecture

Autor:	Gekhtman, Ilya, Taylor, Samuel J., Tiozzo, Giulio
Rok vydání:	2018
Předmět:	Mathematics - Geometric Topology Mathematics - Dynamical Systems Mathematics - Group Theory
Druh dokumentu:	Working Paper
Popis:	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. Comment: v2: 13 page, generalizes previous version to all surfaces. v1: 6 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1808.08422 Zobrazit plný text záznamu View this record from Arxiv