Yunhui Wu

activity

20132026

most citedRandom hyperbolic surfaces of large genus have first eigenvalues greater than

\frac{3}{16} - ε

29 citations · 125 across the 29 of their papers we have counts for

collaborators

Showing 2022Show all

5 papers · 1 filter

math.GT2022★ 2 cited

Prime geodesic theorem and closed geodesics for large genus

Yunhui Wu, Yuhao Xue

Let $M_{g}$ be the moduli space of hyperbolic surfaces of genus $g$ endowed with the Weil-Petersson metric. In this paper, we show that for any $ε > 0$ , as $g \to \infty$ , for…

math.GT2022

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 $X_{g}$ of genus $g$ $(g \geq 3)$ , up…

math.DG2022★ 2 cited

The Cheeger constants of random Belyi surfaces

Yang Shen, Yunhui Wu

Brooks and Makover developed a combinatorial model of random hyperbolic surfaces by gluing certain hyperbolic ideal triangles. In this paper we show that for any $ε > 0$ , as the numb…

math.DG2022★ 3 cited

Arbitrarily small spectral gaps for random hyperbolic surfaces with many cusps

Yang Shen, Yunhui Wu

Let $M_{g, n (g)}$ be the moduli space of hyperbolic surfaces of genus $g$ with $n (g)$ punctures endowed with the Weil-Petersson metric. In this paper we study the asymptot…

math.DG2022

Degenerating hyperbolic surfaces and spectral gaps for large genus

Yunhui Wu, Haohao Zhang, Xuwen Zhu

In this article we study the differences of two consecutive eigenvalues $λ_{i} - λ_{i - 1}$ up to $i = 2 g - 2$ for the Laplacian on hyperbolic surfaces of genus $g$ , and show that the supr…