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math.MG2024
Quasisymmetric geometry of low-dimensional random spaces
Gefei Cai, Wen-Bo Li, Tim Mesikepp
We initiate a study of the quasisymmetric uniformization of naturally arising random fractals and show that many of them fall outside the realm of quasisymmetric uniformization to…
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…