14 citations · 44 across the 13 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.PR2022
Quantum triangles and imaginary geometry flow lines
Morris Ang, Xin Sun, Pu Yu
We define a three-parameter family of random surfaces in Liouville quantum gravity (LQG) which can be viewed as the quantum version of triangles. These quantum triangles are natura…
math.PR2022
The SLE loop via conformal welding of quantum disks
Morris Ang, Nina Holden, Xin Sun
We prove that the SLE loop measure arises naturally from the conformal welding of two -Liouville quantum gravity (LQG) disks for . The proof relies on our…
math.PR2022★ 3 cited
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…