2 papers
math.DG2026
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…
math.GT2024
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…