29 citations · 68 across the 9 of their papers we have counts for
5 papers · 1 filter
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…
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 .…