Yunhui Wu

collaborators

5 papers

math.DG2026

The total mass of Brownian loop measure of Riemann surfaces for large genus

Jiankun Hou, Yunhui Wu

Let $M_{g, n} (L)$ be the moduli space of hyperbolic surfaces of genus $g$ with $n \geq 0$ hyperbolic ends of widths $L \in R_{\geq 0}^{n}$ . We reg…

math.GR2026

A CAT(0) alternative for amenable groups and a Kazhdan-type rigidity principle

Hiroyasu Izeki, Ran Ji, Anders Karlsson +1

We prove that finitely generated amenable groups acting on CAT(0) spaces satisfy the following alternative: either every action on a geodesically complete CAT(0) space with bounded…

math.GT2025

Averages of determinants of Laplacians over moduli spaces for large genus

Yuxin He, Yunhui Wu

Let $M_{g}$ be the moduli space of hyperbolic surfaces of genus $g$ endowed with the Weil-Petersson metric. We view the regularized determinant $lo g det (I^_{X})$ of Lapla…

math.GT2025

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…

math.DG2025

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…