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 2021Show all

2 papers · 1 filter

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,…

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

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