2 citations · 4 across the 7 of their papers we have counts for
8 papers
Oriented planar maps and annular mating of trees
Xingjian Di, Nina Holden, Zhenfeng Tu +1
We study a class of oriented annular planar maps which are closely related to bipolar-oriented maps. We prove that such maps can be encoded by a 2D lattice walk which converges to…
Radial conformal welding in Liouville quantum gravity
Morris Ang, Pu Yu
The seminal work of Sheffield showed that when random surfaces called Liouville quantum gravity (LQG) are conformally welded, the resulting interface is Schramm-Loewner evolution (…
The bulk one-arm exponent for the CLE percolations
Haoyu Liu, Xin Sun, Pu Yu +1
The conformal loop ensemble (CLE) is a conformally invariant random collection of loops. In the non-simple regime , it describes the scaling limit of the critical Fort…
Boundary touching probability and nested-path exponent for non-simple CLE
Morris Ang, Xin Sun, Pu Yu +1
The conformal loop ensemble (CLE) has two phases: for , the loops are simple and do not touch each other or the boundary; for , the loops are non-simple…
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…
Time-reversal of multiple-force-point chordal
Pu Yu
Chordal SLE is a natural variant of chordal SLE curve. It is a family of random non-crossing curves on the upper half plane from 0 to , whose law is influe…
Baxter permuton and Liouville quantum gravity
Jacopo Borga, Nina Holden, Xin Sun +1
The Baxter permuton is a random probability measure on the unit square which describes the scaling limit of uniform Baxter permutations. We find an explict formula for the expectat…