1 citations · 1 across the 4 of their papers we have counts for
4 papers
Lorentz--Epstein surfaces and a Liouville action for positive curves
François Labourie, Jérémy Toulisse, Yilin Wang
We investigate and define in this paper, in the context of the correspondence between anti-de Sitter -space and -conformal metrics, the analogs of $\cW$-volume, Epstein s…
The Brownian loop measure on Riemann surfaces and applications to length spectra
Yilin Wang, Yuhao Xue
We prove a simple identity relating the length spectrum of a Riemann surface to that of the same surface with an arbitrary number of additional cusps. Our proof uses the Brownian l…
Two optimization problems for the Loewner energy
Yilin Wang
A Jordan curve on the Riemann sphere can be encoded by its conformal welding, a circle homeomorphism. The Loewner energy measures how far a Jordan curve is away from being a circle…
Onsager-Machlup functional for loop measures
Marco Carfagnini, Yilin Wang
We relate two ways to renormalize the Brownian loop measure on the Riemann sphere. One by considering the Brownian loop measure on the sphere minus a small disk, known as the norma…