3 papers
math.GT2025
The growth rate on the volume of
Jinsong Liu, Xu Shan, Lang Wang +1
Let be the moduli space of hyperbolic surfaces of genus g endowed with the Weil-Petersson metric. In this paper, we introduce a function of genus and cal…
math.CV2025
On Loewner energy and curve composition
Tim Mesikepp, Yaosong Yang
The composition of Jordan curves and in universal Teichmüller space is defined through the composition of their conformal weldings. We show that w…
math.CV2024
Conformal weldings in the Loewner equation and Weil--Petersson quasislit-disks
Fei Tao, Huaying Wei, Yaosong Yang
A simple arc , growing into the unit disk from its boundary, generates a driving term and a conformal welding through the Loewner differential equat…