115 citations · 1.2k across the 68 of their papers we have counts for
15 papers · 1 filter
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…
On the six-vertex model's free energy
Hugo Duminil-Copin, Karol Kajetan Kozlowski, Dmitry Krachun +2
In this paper, we provide new proofs of the existence and the condensation of Bethe roots for the Bethe Ansatz equation associated with the six-vertex model with periodic boundary…
Long-range order for critical Book-Ising and Book-percolation
Hugo Duminil-Copin, Christophe Garban, Vincent Tassion
In this paper, we investigate the behaviour of statistical physics models on a book with pages that are isomorphic to half-planes. We show that even for models undergoing a continu…
Dimerization and Néel order in different quantum spin chains through a shared loop representation
Michael Aizenman, Hugo Duminil-Copin, Simone Warzel
The ground states of the spin- antiferromagnetic chain with a projection-based interaction and the spin- XXZ-chain at anisotropy param…
Marginal triviality of the scaling limits of critical 4D Ising and models
Michael Aizenman, Hugo Duminil-Copin
We prove that the scaling limits of spin fluctuations in four-dimensional Ising-type models with nearest-neighbor ferromagnetic interaction at or near the critical point are Gaussi…