{"id":"openai-math/Quenched-SLE3-Universality-for-the-Weak-Random-Bond-Ising-Model","pdf":"https://github.com/openai/math/blob/main/preprints/Quenched-SLE3-Universality-for-the-Weak-Random-Bond-Ising-Model-October-5-2026/quenched-sle3-weak-random-bond-ising.pdf","url":"https://github.com/openai/math/tree/main/preprints/Quenched-SLE3-Universality-for-the-Weak-Random-Bond-Ising-Model-October-5-2026","tags":["probability","statistical-mechanics","ising-model","sle"],"score":0,"title":"Quenched SLE₃ Universality for the Weak Random-Bond Ising Model","domain":"Probability and statistical mechanics","family":"218","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.PR","summary":"We prove quenched chordal SLE 3 convergence for the planar Ising model with sufficiently weak independent symmetric two-valued ferromagnetic bonds. The temperature is the critical point defined by spontaneous magnetization. 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"}