Rotational invariance in critical planar lattice models

Karol Kajetan Kozlowski
Karol Kajetan Kozlowski
Dmitry Krachun
Dmitry Krachun
Mendes Oulamara
Mendes Oulamara
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Abstract:

In this paper, 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 square lattice with cluster-weight $1\le q\le 4$ exhibits rotational invariance at large scales. This covers the case of Bernoulli percolation on ...More

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