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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
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…
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…