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arXiv · 0811.2362

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.

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Alex Eskin, Maryam Mirzakhani. 2011-03-19. Counting closed geodesics in Moduli space. https://arxiv.org/abs/0811.2362

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