Lattice Point Asymptotics and Volume Growth on Teichmuller space
Dynamical Systems
2019-12-19 v5 Geometric Topology
Abstract
We apply some of the ideas of the Ph.D. Thesis of G. A. Margulis to Teichmuller space. Let x be a point in Teichmuller space, and let B_R(x) be the ball of radius R centered at x (with distances measured in the Teichmuller metric). We obtain asymptotic formulas as R tends to infinity for the volume of B_R(x), and also for for the cardinality of the intersection of B_R(x) with an orbit of the mapping class group.
Keywords
Cite
@article{arxiv.math/0610715,
title = {Lattice Point Asymptotics and Volume Growth on Teichmuller space},
author = {Jayadev Athreya and Alexander Bufetov and Alex Eskin and Maryam Mirzakhani},
journal= {arXiv preprint arXiv:math/0610715},
year = {2019}
}
Comments
45 Pages, 2 figures. Minor corrections