46 citations · 292 across the 35 of their papers we have counts for
4 papers · 2 filters
SLE as a mating of trees in Euclidean geometry
Nina Holden, Xin Sun
The mating of trees approach to Schramm-Loewner evolution (SLE) in the random geometry of Liouville quantum gravity (LQG) has been recently developed by Duplantier-Miller-Sheffield…
Four dimensional loop-erased random walk
Gregory F. Lawler, Xin Sun, Wei Wu
The loop-erased random walk (LERW) in is the process obtained by erasing loops chronologically for simple random walk. We prove that the escape probability of the LE…
A distance exponent for Liouville quantum gravity
Ewain Gwynne, Nina Holden, Xin Sun
Let and let be the random distribution on which describes a -Liouville quantum gravity (LQG) cone. Also let and let be a whole-pl…
Joint scaling limit of a bipolar-oriented triangulation and its dual in the peanosphere sense
Ewain Gwynne, Nina Holden, Xin Sun
Kenyon, Miller, Sheffield, and Wilson (2015) showed how to encode a random bipolar-oriented planar map by means of a random walk with a certain step size distribution. Using this e…