115 citations · 1.2k across the 68 of their papers we have counts for
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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…
Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules
Hugo Duminil-Copin, Ivailo Hartarsky
We study two-dimensional critical bootstrap percolation models. We establish that a class of these models including all isotropic threshold rules with a convex symmetric neighbourh…
100 Years of the (Critical) Ising Model on the Hypercubic Lattice
Hugo Duminil-Copin
We take the occasion of this article to review one hundred years of the physical and mathematical study of the Ising model. The model, introduced by Lenz in 1920, has been at the c…