115 citations · 1.2k across the 68 of their papers we have counts for
6 papers · 2 filters
Delocalization of the height function of the six-vertex model
Hugo Duminil-Copin, Alex Karrila, Ioan Manolescu +1
We show that the height function of the six-vertex model, in the parameter range and , is delocalized with logarithmic variance when $\mathbf…
Rotational invariance in critical planar lattice models
Hugo Duminil-Copin, Karol Kajetan Kozlowski, Dmitry Krachun +2
We prove that the large-scale properties of a number of two-dimensional lattice models are rotationally invariant. More precisely, we prove that the random-cluster model on the squ…
Planar random-cluster model: scaling relations
Hugo Duminil-Copin, Ioan Manolescu
This paper studies the critical and near-critical regimes of the planar random-cluster model on with cluster-weight using novel coupling techniques. More…
Long-range models in 1D revisited
Hugo Duminil-Copin, Christophe Garban, Vincent Tassion
In this short note, we revisit a number of classical result{s} on long-range 1D percolation, Ising model and Potts models [FS82, NS86, ACCN88, IN88]. More precisely, we show that f…
Planar random-cluster model: fractal properties of the critical phase
Hugo Duminil-Copin, Ioan Manolescu, Vincent Tassion
This paper is studying the critical regime of the planar random-cluster model on with cluster-weight . More precisely, we prove crossing estimates in quads…
Equality of critical parameters for percolation of Gaussian free field level-sets
Hugo Duminil-Copin, Subhajit Goswami, Pierre-François Rodriguez +1
We consider upper level-sets of the Gaussian free field on , for , above a given real-valued height parameter . As varies, this defines a canonical per…