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
4 Pith papers cite this work, alongside 10 external citations. Polarity classification is still indexing.
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representative citing papers
A generalized Ding-Zhuang argument proves persistence of long-range order under weak disorder for any d≥3 lattice system satisfying a Peierls condition and a local symmetry condition.
Random fields destroy phase transitions in low-dimensional Widom-Rowlinson models but preserve them in high dimensions for large densities.
This is a non-technical review of the Ising model's key results and open problems in probability and mathematical physics.
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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The stability of long-range order in disordered systems: A generalized Ding-Zhuang argument
A generalized Ding-Zhuang argument proves persistence of long-range order under weak disorder for any d≥3 lattice system satisfying a Peierls condition and a local symmetry condition.
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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.
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The Ising model: Highlights and perspectives
This is a non-technical review of the Ising model's key results and open problems in probability and mathematical physics.