29 citations · 68 across the 9 of their papers we have counts for
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math.GT2020★ 9 cited
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…
math.GT2020★ 14 cited
Large genus asymptotics for lengths of separating closed geodesics on random surfaces
Xin Nie, Yunhui Wu, Yuhao Xue
In this paper, we investigate basic geometric quantities of a random hyperbolic surface of genus with respect to the Weil-Petersson measure on the moduli space .…