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Buffered comparison and stopping-band resolution in critical Ising

OpenAI

OpenAI Mathopenai-math/Buffered-comparison-and-stopping-band-resolution-in-critical-IsingSep 23, 2026math.PRAI-generatedscore 0

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.

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