H. Duminil-Copin

activity

20082026

most citedMarginal triviality of the scaling limits of critical 4D Ising and

ϕ_{4}^{4}

models

115 citations · 1.2k across the 68 of their papers we have counts for

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Showing 2026 · math-phShow all

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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…