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arXiv:0811.2362math.DS

Counting closed geodesics in Moduli space

Alex Eskin, Maryam Mirzakhani

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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.

arXiv comments
36 pages, 1 figure; Expanded some arguments and added some background and references
Journal reference
DOI
Subjects
math.DSDynamical Systems math.GTGeometric Topology

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  1. A Tenacious Explorer of Abstract Surfaces 1 comment

    • for those interested to see the kind of language that is used to develop her ideas ... here's a taste http://arxiv.org/pdf/0811.2362.pdf, Counting closed geodesics in Moduli space (PDF)

      alphydanView on HNParent context

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