Counting closed geodesics in moduli space
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Eskin, Alex; Mirzakhani, Maryam;
Counting closed geodesics in moduli space
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.
36 pages, 1 figure; Expanded some arguments and added some background and references
- University of Chicago United States
Mathematics - Geometric Topology, 37A25, 30F60, FOS: Mathematics, Geometric Topology (math.GT), Dynamical Systems (math.DS), Mathematics - Dynamical Systems
Mathematics - Geometric Topology, 37A25, 30F60, FOS: Mathematics, Geometric Topology (math.GT), Dynamical Systems (math.DS), Mathematics - Dynamical Systems
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These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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