Effective counting of simple closed geodesics on hyperbolic surfaces

Autor:	Eskin, Alex, Mirzakhani, Maryam, Mohammadi, Amir
Rok vydání:	2019
Předmět:	Mathematics - Geometric Topology Mathematics - Dynamical Systems
Druh dokumentu:	Working Paper
Popis:	We prove a quantitative estimate, with a power saving error term, for the number of simple closed geodesics of length at most $L$ on a compact surface equipped with a Riemannian metric of negative curvature. The proof relies on the exponential mixing rate for the Teichm\"{u}ller geodesic flow. Comment: 50 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1905.04435 Zobrazit plný text záznamu View this record from Arxiv