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arxiv: 0811.2362 · v3 · pith:RETHHUBRnew · submitted 2008-11-14 · 🧮 math.DS · math.GT

Counting closed geodesics in Moduli space

classification 🧮 math.DS math.GT
keywords closedgeodesicslengthmodulinumberspaceasymptoticsclass
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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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