{"id":"openai-math/Buffered-comparison-and-stopping-band-resolution-in-critical-Ising","pdf":"https://github.com/openai/math/blob/main/preprints/Buffered-comparison-and-stopping-band-resolution-in-critical-Ising-September-23-2026/paper.pdf","url":"https://github.com/openai/math/tree/main/preprints/Buffered-comparison-and-stopping-band-resolution-in-critical-Ising-September-23-2026","tags":["ising-model","statistical-mechanics","percolation"],"score":0,"title":"Buffered comparison and stopping-band resolution in critical Ising","domain":"Probability and statistical mechanics","family":"218","origin":"ai-generated","source":"openai-math","authors":["OpenAI"],"reviews":0,"subject":"math.PR","summary":"We prove pointwise comparison and finite stopping-band approximation theorems for the critical nearest-neighbor Ising model on the square lattice. Arbitrary common pinned spins are allowed in the comparison: the likelihood ratio is controlled by a zero-field FK connection probability on the graph with those vertices deleted. For an interface exploration across a band of fixed positive width, finitely many regular signed barriers approximate every good conditional target law in total variation, uniformly over bounded observables and sufficiently fine meshes.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"discussed":0,"published":"2026-09-23","reactions":{},"formalized":false,"family_title":"Conformal universality for weakly interacting and random-bond Ising models"}