4 papers
Supercritical Liouville quantum gravity and CLE
Morris Ang, Ewain Gwynne
We establish the first relationship between Schramm-Loewner evolution (SLE) and Liouville quantum gravity (LQG) in the supercritical (a.k.a. strongly coupled) phase, which correspo…
The moduli of annuli in random conformal geometry
Morris Ang, Guillaume Remy, Xin Sun
We obtain exact formulae for three basic quantities in random conformal geometry that depend on the modulus of an annulus. The first is for the law of the modulus of the Brownian a…
Integrability of Conformal Loop Ensemble: Imaginary DOZZ Formula and Beyond
Morris Ang, Gefei Cai, Xin Sun +1
The scaling limit of the probability that points are on the same cluster for 2D critical percolation is believed to be governed by a conformal field theory (CFT). Although this…
Critical Liouville quantum gravity and CLE
Morris Ang, Ewain Gwynne
Consider a critical () Liouville quantum gravity (LQG) disk together with an independent conformal loop ensemble (CLE) with parameter . We show that the critical LQG su…