1 citations · 2 across the 5 of their papers we have counts for
5 papers
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…
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…
Large Steklov eigenvalues on hyperbolic surfaces
Xiaolong Hans Han, Yuxin He, Han Hong
In this paper, we first construct a sequence of hyperbolic surfaces with connected geodesic boundary such that the first normalized Steklov eigenvalue tends to infinity…
On second eigenvalues of closed hyperbolic surfaces for large genus
Yuxin He, Yunhui Wu
In this article, we study the second eigenvalues of closed hyperbolic surfaces for large genus. We show that for every closed hyperbolic surface of genus , up…