115 citations · 1.2k across the 68 of their papers we have counts for
82 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…
A characterization of strong percolation via disconnection
Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +2
We consider a percolation model, the vacant set of random interlacements on , , in the regime of parameters in which it is strongly pe…
Phase transition for the vacant set of random walk and random interlacements
Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +2
We consider the set of points visited by the random walk on the discrete torus , for , at times of order , for a parameter in the…
Finite range interlacements and couplings
Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +2
In this article, we consider the interlacement set at level on , , and its finite range version for , given b…