58 citations · 322 across the 30 of their papers we have counts for
33 papers
Conformal invariance of the planar four-state Potts model and its random-cluster representation
Emile Averous, Hugo Duminil-Copin, Tiancheng He +2
For the critical random-cluster model on with cluster-weight , we prove the convergence of loops to CLE(4) in the scaling limit. Conformal invariance of the four…
Conformal invariance of the six-vertex model's height function
Emile Averous, Hugo Duminil-Copin, Tiancheng He +2
In this paper, we show that the height function of the six-vertex model in simply connected domains with piecewise constant boundary conditions converges to the Gaussian Free Field…
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…
The Wulff crystal of self-dual FK-percolation becomes round when approaching criticality
Ioan Manolescu, Maran Mohanarangan
The study of the phase transition in planar FK-percolation on the square lattice has seen significant recent breakthroughs. The model undergoes a change in the nature of its phase…
Gaussian free field convergence of the six-vertex model with
Hugo Duminil-Copin, Karol Kajetan Kozlowski, Piet Lammers +1
We study the isotropic six-vertex model on with spectral parameter , that is, with weights and .…
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…