21 citations · 55 across the 14 of their papers we have counts for
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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…
The BKT transition and surface tension differentiability
Thibault Durand, Piet Lammers
Under the duality between the two-dimensional XY model and an integer-valued height function, the BKT transition is expected to correspond to the disappearance of a corner in the s…
Free energy analyticity of the disordered XY model and Debye screening in the 2D Coulomb gas
Lucas D'Alimonte, Piet Lammers
We consider three models of statistical mechanics: the classical XY model in arbitrary dimension, the lattice Coulomb gas in dimension two, and the square well model in arbitrary d…
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 .…