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math.GT2024★ 1 cited
Averages of determinants of Laplacians over moduli spaces for large genus
Yuxin He, Yunhui Wu
Let be the moduli space of hyperbolic surfaces of genus endowed with the Weil-Petersson metric. We view the regularized determinant of Laplac…
math.GT2023★ 1 cited
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.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 of genus , up…