most citedRotational invariance in critical planar lattice models

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math.PR2026★ 10 cited

Rotational invariance in critical planar lattice models

Hugo Duminil-Copin, Karol Kajetan Kozlowski, Dmitry Krachun +2

We prove that the large-scale properties of a number of two-dimensional lattice models are rotationally invariant. More precisely, we prove that the random-cluster model on the squ…

math.PR2026

Critical exponents for planar random-cluster model with cluster-weight

Hong-Bin Chen, Hugo Duminil-Copin, Tiancheng He +4

Using the Baxter-Kelland-Wu coupling and the convergence of the height function of the six-vertex model to the Gaussian Free Field, we extract critical exponents for the planar cri…