4 papers
The simple separating systole for hyperbolic surfaces of large genus
Hugo Parlier, Yunhui Wu, Yuhao Xue
In this note we show that the expected value of the separating systole of a random surface of genus with respect to Weil-Petersson volume behaves like as the genus g…
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures
Martin Bridgeman, Yunhui Wu
In this article we show that for every finite area hyperbolic surface of type and any harmonic Beltrami differential on , then the magnitude of at any point…
The Weil-Petersson curvature operator on the universal Teichmüller space
Zheng Huang, Yunhui Wu
The universal Teichmüller space is an infinitely dimensional generalization of the classical Teichmüller space of Riemann surfaces. It carries a natural Hilbert structure, on which…
Parabolic isometries of visible CAT(0) spaces and metrics on moduli space
Yunhui Wu
We show that the translation length of any parabolic isometry on a complete semi-uniformly visible CAT(0) space is always zero. As a consequence, we will classify the isometries on…