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20112026
most citedDiscontinuity of the phase transition for the planar random-cluster and Potts models with

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math.PR2025

Near-critical Ornstein--Zernike theory for the planar random-cluster model

Lucas D'Alimonte, Ioan Manolescu

We develop an Ornstein--Zernike theory for the two-dimensional random-cluster model with that also applies in its near-critical regime. In particular, we prove an asy…

math.PR2025

Exploring the phase transition of planar FK-percolation

Ioan Manolescu

The aim of these notes is to give a quick introduction to FK-percolation, focusing on certain recent results about the phase transition of the two dimensional model, namely its con…