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.
Long range order for random field Ising and Potts models
2 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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math.PR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Random fields destroy phase transitions in low-dimensional Widom-Rowlinson models but preserve them in high dimensions for large densities.
citing papers explorer
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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.
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Lattice random-field Widom--Rowlinson models
Random fields destroy phase transitions in low-dimensional Widom-Rowlinson models but preserve them in high dimensions for large densities.