Counting closed geodesics in Moduli space
Dynamical Systems
2011-03-22 v3 Geometric Topology
Abstract
We compute the asymptotics, as R tends to infinity, of the number of closed geodesics in Moduli space of length at most R, or equivalently the number of pseudo-Anosov elements of the mapping class group of translation length at most R.
Cite
@article{arxiv.0811.2362,
title = {Counting closed geodesics in Moduli space},
author = {Alex Eskin and Maryam Mirzakhani},
journal= {arXiv preprint arXiv:0811.2362},
year = {2011}
}
Comments
36 pages, 1 figure; Expanded some arguments and added some background and references