Yuxin He

activity

20222026

most citedAverages of determinants of Laplacians over moduli spaces for large genus

1 citations · 2 across the 5 of their papers we have counts for

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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.DG2022

Large Steklov eigenvalues on hyperbolic surfaces

Xiaolong Hans Han, Yuxin He, Han Hong

In this paper, we first construct a sequence of hyperbolic surfaces with connected geodesic boundary such that the first normalized Steklov eigenvalue $σ ~_{1}$ tends to infinity…