3 papers
math.PR2026
Random walk reflected off of infinity, with applications to uniform spanning forests and supercritical Liouville quantum gravity
Ewain Gwynne, Jinwoo Sung
Let be an infinite graph -- not necessarily one-ended -- on which the simple random walk is transient. We define a variant of the continuous-time random walk on $\math…
math.PR2025
Area measures and branched polymers in supercritical Liouville quantum gravity
Manan Bhatia, Ewain Gwynne, Jinwoo Sung
We study Liouville quantum gravity (LQG) in the supercritical (a.k.a. strongly coupled) phase, which has background charge and central charge $\mathbf{c}_{\mathrm{L}}…
math.PR2025
Quasi-invariance for SLE welding measures
Shuo Fan, Jinwoo Sung
A large class of Jordan curves on the Riemann sphere can be encoded by circle homeomorphisms via conformal welding, among which we consider the welding homeomorphism of the random…