Counting closed geodesics in Moduli space

Details Counting closed geodesics in Moduli space Counting closed geodesics in Moduli space

2008-11-14

arxiv.org/abs/0811.2362v3

Mathematics

Dynamical Systems

36 pages, 1 figure; Expanded some arguments and added some background and references

Scientific paper

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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