H. Duminil-Copin & M. Oulamara: Rotational invariance of the planar random-cluster model

Abstract: In this talk, we prove that the random-cluster model on the square lattice with cluster-weight q\in [1,4] exhibits rotational invariance at large scales. This covers the case of Bernoulli percolation on the square lattice as an important example.

Joint work with Karol Kajetan Kozlowski, Dmitry Krachun and Ioan Manolescu.

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