Piet Lammers

activity

20172026

most citedHeight function delocalisation on cubic planar graphs

21 citations · 55 across the 14 of their papers we have counts for

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math-ph2026

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 $Z^{2}$ with cluster-weight $q = 4$ , we prove the convergence of loops to CLE(4) in the scaling limit. Conformal invariance of the four…

math-ph2026

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…

math-ph2026

Gaussian free field convergence of the six-vertex model with $- 1 \leq Δ \leq - \frac{1}{2}$

Hugo Duminil-Copin, Karol Kajetan Kozlowski, Piet Lammers +1

We study the isotropic six-vertex model on $Z^{2}$ with spectral parameter $Δ \in [- 1, - 1/2]$ , that is, with weights $a = b = 1$ and $c \in [3, 2]$ .…

Conformal invariance of the planar four-state Potts model and its random-cluster representation

Conformal invariance of the six-vertex model's height function

Gaussian free field convergence of the six-vertex model with −1≤Δ≤−21​

Gaussian free field convergence of the six-vertex model with $- 1 \leq Δ \leq - \frac{1}{2}$