115 citations · 1.2k across the 68 of their papers we have counts for
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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…
Logarithmic variance for the height function of square-ice
Hugo Duminil-Copin, Matan Harel, Benoit Laslier +2
In this article, we prove that the height function associated with the square-ice model (i.e.~the six-vertex model with on the square lattice), or, equivalently, of the u…
Upper bounds on the percolation correlation length
Hugo Duminil-Copin, Gady Kozma, Vincent Tassion
We study the size of the near-critical window for Bernoulli percolation on . More precisely, we use a quantitative Grimmett-Marstrand theorem to prove that the correla…
Renormalization of crossing probabilities in the planar random-cluster model
Hugo Duminil-Copin, Vincent Tassion
The study of crossing probabilities - i.e. probabilities of existence of paths crossing rectangles - has been at the heart of the theory of two-dimensional percolation since its be…