Counting closed geodesics in moduli space
Counting closed geodesics in moduli space
复制标题
计算模空间中的闭合测地线
DOI：
10.3934/jmd.2011.5.71
复制
发表时间：
2008
影响因子：
1.1
通讯作者：
M. Mirzakhani
中科院分区：
文献类型：
--
作者：
A. Eskin;M. Mirzakhani
当R趋于无穷大时，我们计算长度不超过R的模空间中闭测地线的数目的渐近性，或者等价地计算平移长度不超过R的映射类群的伪Anosov元素的数目。
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.