29 citations · 68 across the 9 of their papers we have counts for
9 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…
The Brownian loop measure on Riemann surfaces and applications to length spectra
Yilin Wang, Yuhao Xue
We prove a simple identity relating the length spectrum of a Riemann surface to that of the same surface with an arbitrary number of additional cusps. Our proof uses the Brownian l…
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…
Prime geodesic theorem and closed geodesics for large genus
Yunhui Wu, Yuhao Xue
Let be the moduli space of hyperbolic surfaces of genus endowed with the Weil-Petersson metric. In this paper, we show that for any , as , for…
Optimal lower bounds for first eigenvalues of Riemann surfaces for large genus
Yunhui Wu, Yuhao Xue
In this article we study the first eigenvalues of closed Riemann surfaces for large genus. We show that for every closed Riemann surface of genus , the first e…
Random hyperbolic surfaces of large genus have first eigenvalues greater than
Yunhui Wu, Yuhao Xue
Let be the moduli space of hyperbolic surfaces of genus endowed with the Weil-Petersson metric. In this paper, we show that for any , as genus goes to infinity,…
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…
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 .…
Small eigenvalues of closed Riemann surfaces for large genus
Yunhui Wu, Yuhao Xue
In this article we study the asymptotic behavior of small eigenvalues of Riemann surfaces for large genus. We show that for any positive integer , as the genus goes to infin…