论文标题
有效的映射类小组动态I：计数Teichmüller空间中的晶格点
Effective mapping class group dynamics I: Counting lattice points in Teichmüller space
论文作者
论文摘要
我们证明了一个定量估计，该估计值具有节省误差术语，用于映射的teichmüller空间的映射类组轨道中的点数，该轨道位于teichmüller公制的中心和较大半径内。还证明了对部门和双配置器计数的估计值。这些估计有效地使Athreya，Bufetov，Eskin和Mirzakhani的结果有效。
We prove a quantitative estimate with a power saving error term for the number of points in a mapping class group orbit of Teichmüller space that lie within a Teichmüller metric ball of given center and large radius. Estimates of the same kind are also proved for sector and bisector counts. These estimates effectivize asymptotic counting results of Athreya, Bufetov, Eskin, and Mirzakhani.
