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20232026
most citedConformal welding of quantum disks and multiple SLE: the non-simple case

2 citations · 5 across the 9 of their papers we have counts for

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8 papers · 1 filter

math.PR2026

Quantum Loewner evolution in quantum natural time: phases and Markov properties

Morris Ang, Deven Mithal

Quantum Loewner evolution (QLE) is a family of growth processes in random environments, introduced by Miller and Sheffield (arXiv:1312.5745) as candidate scaling limits o…

math.PR2025

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…

math.PR2024

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 (…

math.PR2024★ 1 cited

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…

math.PR2024★ 1 cited

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…

math.PR2023★ 2 cited

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…

math.PR2023

Cutting -Liouville quantum gravity by Schramm-Loewner evolution for

Morris Ang, Ewain Gwynne

There are many deep and useful theorems relating Schramm-Loewner evolution (SLE) and Liouville quantum gravity (-LQG) in the case when the parameters satisfy $κ\in \{γ^2, 16…

math.PR2023★ 1 cited

Reversibility of whole-plane SLE for

Morris Ang, Pu Yu

Whole-plane SLE is a random fractal curve between two points on the Riemann sphere. Zhan established for that whole-plane SLE is reversible, meaning invariant in…