54 citations · 168 across the 18 of their papers we have counts for
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math.DG2023
Universal Liouville action as a renormalized volume and its gradient flow
Martin Bridgeman, Kenneth Bromberg, Franco Vargas Pallete +1
The universal Liouville action (also known as the Loewner energy for Jordan curves) is a Kähler potential on the Weil-Petersson universal Teichmüller space, which is identified wit…
math.PR2023
From the random geometry of conformally invariant systems to the Kähler geometry of universal Teichmüller space
Yilin Wang
The goal of this expository article is to explain how a fundamental functional on the space of Jordan curves arising from SLE - Loewner energy - is connected to a seemingly far apa…
math.CV2023
Quasiconformal deformation of the chordal Loewner driving function and first variation of the Loewner energy
Jinwoo Sung, Yilin Wang
We derive the variational formula of the Loewner driving function of a simple chord under infinitesimal quasiconformal deformations with Beltrami coefficients supported away from t…