2 citations · 4 across the 5 of their papers we have counts for
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String equation for conformal loop ensemble on Liouville quantum gravity sphere
Xin Sun, Baojun Wu, Shengjing Xu
Matrix models express partition functions of random surfaces with prescribed boundary lengths through string equations. We give a probabilistic realization of this structure in Lio…
The - relation in mating of trees and its application to skew Brownian permutons
Morris Ang, Xin Sun, Pu Yu
In the mating-of-trees approach to Schramm-Loewner evolution (SLE) and Liouville quantum gravity (LQG), it is natural to consider two pairs of correlated Brownian motions coupled t…
SLE Loop Measure and Liouville Quantum Gravity
Morris Ang, Gefei Cai, Xin Sun +1
As recently shown by Holden and two of the authors, the conformal welding of two Liouville quantum gravity (LQG) disks produces a canonical variant of SLE curve whose law is called…
Conformal welding of quantum disks and multiple SLE: the non-simple case
Morris Ang, Nina Holden, Xin Sun +1
Two-pointed quantum disks with a weight parameter is a canonical family of finite-volume random surfaces in Liouville quantum gravity. We extend the conformal welding of quan…
SLE partition functions via conformal welding of random surfaces
Xin Sun, Pu Yu
SLE curves describe the scaling limit of interfaces from many 2D lattice models. Heuristically speaking, the SLE partition function is the continuum counterpart of the partition fu…