Yuhao Xue

activity

20182026

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

\frac{3}{16} - ε

29 citations · 68 across the 9 of their papers we have counts for

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4 papers · 1 filter

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 $n = O (g^{α})$ where $α\in \left[0,\frac{1}{2}\ri…

math.DG2021★ 6 cited

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 $X_{g}$ of genus $g$ $(g \geq 2)$ , the first e…

math.DG2021★ 29 cited

Random hyperbolic surfaces of large genus have first eigenvalues greater than $\frac{3}{16} - ε$

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 genus $g$ goes to infinity,…

math.DG2018★ 7 cited

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 $k$ , as the genus $g$ goes to infin…

Uniform spectral gaps for random hyperbolic surfaces with not many cusps

Optimal lower bounds for first eigenvalues of Riemann surfaces for large genus

Random hyperbolic surfaces of large genus have first eigenvalues greater than 163​−ε

Small eigenvalues of closed Riemann surfaces for large genus

Random hyperbolic surfaces of large genus have first eigenvalues greater than $\frac{3}{16} - ε$