论文标题
大属双曲线表面的简单分离收缩
The simple separating systole for hyperbolic surfaces of large genus
论文作者
论文摘要
在本说明中，我们表明，相对于Weil-Petersson量的属属属的随机表面分离的收缩期的预期值像$ 2 \ log g $一样，因为该属属于无穷大。这与收缩期预期值的行为形成鲜明对比，后者由Mirzakhani和Petri的结果独立于属。
In this note we show that the expected value of the separating systole of a random surface of genus $g$ with respect to Weil-Petersson volume behaves like $2\log g $ as the genus goes to infinity. This is in strong contrast to the behavior of the expected value of the systole which, by results of Mirzakhani and Petri, is independent of genus.
