115 citations · 1.2k across the 68 of their papers we have counts for
4 papers · 1 filter
On the critical parameters of the random-cluster model on isoradial graphs
Vincent Beffara, Hugo Duminil-Copin, Stanislav Smirnov
The critical surface for random-cluster model with cluster-weight on isoradial graphs is identified using parafermionic observables. Correlations are also shown to decay e…
Continuity of the phase transition for planar random-cluster and Potts models with
Hugo Duminil-Copin, Vladas Sidoravicius, Vincent Tassion
This article studies the planar Potts model and its random-cluster representation. We show that the phase transition of the nearest-neighbor ferromagnetic -state Potts model on…
A new proof of the sharpness of the phase transition for Bernoulli percolation on
Hugo Duminil-Copin, Vincent Tassion
We provide a new proof of the sharpness of the phase transition for nearest-neighbour Bernoulli percolation. More precisely, we show that - for , the probability that the or…
A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model
Hugo Duminil-Copin, Vincent Tassion
We provide a new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model. The proof applies to infinite range models on arbitrary locally finit…