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Averages of determinants of Laplacians over moduli spaces for large genus
Yuxin He, Yunhui Wu
Let be the moduli space of hyperbolic surfaces of genus endowed with the Weil-Petersson metric. We view the regularized determinant of Laplac…
Non-simple systoles on random hyperbolic surfaces for large genus
Yuxin He, Yang Shen, Yunhui Wu +1
In this paper, we investigate the asymptotic behavior of the non-simple systole, which is the length of a shortest non-simple closed geodesic, on a random closed hyperbolic surface…
The simple separating systole for hyperbolic surfaces of large genus
Hugo Parlier, Yunhui Wu, Yuhao Xue
In this note we show that the expected value of the separating systole of a random surface of genus with respect to Weil-Petersson volume behaves like as the genus g…
Parabolic isometries of visible CAT(0) spaces and metrics on moduli space
Yunhui Wu
We show that the translation length of any parabolic isometry on a complete semi-uniformly visible CAT(0) space is always zero. As a consequence, we will classify the isometries on…