6 papers · 1 filter
Quantum Loewner evolution in quantum natural time: phases and Markov properties
Morris Ang, Deven Mithal
Quantum Loewner evolution (QLE)$(γ^2, η)$ is a family of growth processes in random environments, introduced by Miller and Sheffield (arXiv:1312.5745) as candidate scaling limits…
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 - relation in mating of trees
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…
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 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…
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…