{"id":"openai-math/Quenched-SLE3-limits-for-general-weak-random-bond-Ising-models","pdf":"https://github.com/openai/math/blob/main/preprints/Quenched-SLE3-limits-for-general-weak-random-bond-Ising-models-October-5-2026/general-weak-random-bond-ising.pdf","url":"https://github.com/openai/math/tree/main/preprints/Quenched-SLE3-limits-for-general-weak-random-bond-Ising-models-October-5-2026","tags":["probability","statistical-mechanics","ising-model","sle"],"score":0,"title":"Quenched SLE₃ limits for general weak random-bond Ising models","domain":"Probability and statistical mechanics","family":"218","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.PR","summary":"For the planar Ising model with bonds $`J_e=1+\\varepsilon\\xi_e`$, where the ξ e have any fixed bounded, nondegenerate, mean-zero iid law, we prove quenched chordal SLE 3 convergence for sufficiently small ε > 0. The temperature is the spontaneous-magnetization threshold. Convergence holds in probability over environments for the full oriented curve law in deterministic Jordan-domain approximations.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-10-05","reactions":{},"formalized":false,"family_title":"Conformal universality for weakly interacting and random-bond Ising models"}