For planar Ising bonds J_e=1+εξ_e with any fixed bounded, nondegenerate, mean-zero iid disorder law and sufficiently small ε>0, the full oriented interface law at the spontaneous-magnetization threshold converges in probability over environments to chordal SLE₃ in deterministic Jordan-domain approximations.
For planar Ising bonds J_e=1+εξ_e with any fixed bounded, nondegenerate, mean-zero iid disorder law and sufficiently small ε>0, the full oriented interface law at the spontaneous-magnetization threshold converges in probability over environments to chordal SLE₃ in deterministic Jordan-domain approximations.
For planar Ising bonds J_e=1+εξ_e with any fixed bounded, nondegenerate, mean-zero iid disorder law and sufficiently small ε>0, the full oriented interface law at the spontaneous-magnetization threshold converges in probability over environments to chordal SLE₃ in deterministic Jordan-domain approximations.
If correct, extends conformal interface universality to weak random-bond Ising models in the quenched sense.
Do weak random-bond Ising interfaces converge to chordal SLE₃ for typical disorder environments?
Publication dates and editorial changes.
OpenAI reports quenched SLE₃ convergence for weak random-bond Ising interfaces
Allow optional Google Analytics to help improve AIProofWatch? Privacy details.
