3 papers
math.DG2026
Uniform spectral gaps for random hyperbolic surfaces with not many cusps
Yuxin He, Yunhui Wu, Yuhao Xue
In this paper, we investigate uniform spectral gaps for Weil-Petersson random hyperbolic surfaces with not many cusps. We show that if where $α\in \left[0,\frac{1}{2}\ri…
math.GT2024
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…
math.GT2023
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…