2008/11/14 by Alex Eskin, Eskin, Alex, Maryam Mirzakhani +1
Mathematics · #30F60 #37A25 #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric Topology (math.GT) #math.DS #math.GT #msc:30F60 #msc:37A25
paper · pdf · doi:10.48550/arxiv.0811.2362
36 pages, 1 figure; Expanded some arguments and added some background and references
arxiv created 2011/03/19 · arxiv updated 2011/03/22
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.