Proves the single interface in near-critical RFIM scales to an absolutely continuous version of SLE_3 while outermost loops are singular w.r.t. CLE_3.
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Scaling limits of the single-curve interface and outermost loops in the planar random field Ising model
Proves the single interface in near-critical RFIM scales to an absolutely continuous version of SLE_3 while outermost loops are singular w.r.t. CLE_3.