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• W4321456101 abstract "We prove that the SLEκ loop measure arises naturally from the conformal welding of two γ-Liouville quantum gravity (LQG) disks for γ2=κ∈(0,4). The proof relies on our companion work on conformal welding of LQG disks and uses as an essential tool the concept of uniform embedding of LQG surfaces. Combining our result with work of Gwynne and Miller, we get that random quadrangulations decorated by a self-avoiding polygon converge in the scaling limit to the LQG sphere decorated by the SLE8∕3 loop. Our result is also a key input to recent work of the first and third coauthors on the integrability of the conformal loop ensemble." @default.
• W4321456101 created "2023-02-22" @default.
• W4321456101 creator A5034106138 @default.
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• W4321456101 date "2023-01-01" @default.
• W4321456101 modified "2023-09-25" @default.
• W4321456101 title "The SLE loop via conformal welding of quantum disks" @default.
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• W4321456101 doi "https://doi.org/10.1214/23-ejp914" @default.
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