H. Duminil-Copin

activity

20082026

most citedMarginal triviality of the scaling limits of critical 4D Ising and

ϕ_{4}^{4}

models

115 citations · 1.2k across the 68 of their papers we have counts for

collaborators

Showing 2010Show all

4 papers · 1 filter

math.PR2010★ 27 cited

Sharp metastability threshold for an anisotropic bootstrap percolation model

H. Duminil-Copin, A. C. D. Van Enter

Bootstrap percolation models have been extensively studied during the two past decades. In this article, we study the following "anisotropic" bootstrap percolation model: the neigh…

math.PR2010

The sharp threshold for bootstrap percolation in all dimensions

József Balogh, Béla Bollobás, Hugo Duminil-Copin +1

In r-neighbour bootstrap percolation on a graph G, a (typically random) set A of initially 'infected' vertices spreads by infecting (at each time step) vertices with at least r alr…

math-ph2010

The connective constant of the honeycomb lattice equals $2 + 2$

Hugo Duminil-Copin, Stanislav Smirnov

We provide the first mathematical proof that the connective constant of the hexagonal lattice is equal to $2 + 2$ . This value has been derived non rigorously by B. Nienh…

math.PR2010★ 10 cited

The self-dual point of the two-dimensional random-cluster model is critical for $q \geq 1$

Vincent Beffara, Hugo Duminil-Copin

We prove a long-standing conjecture on random-cluster models, namely that the critical point for such models with parameter $q \geq 1$ on the square lattice is equal to the self-dual…

Sharp metastability threshold for an anisotropic bootstrap percolation model

The sharp threshold for bootstrap percolation in all dimensions

The connective constant of the honeycomb lattice equals 2+2​​

The self-dual point of the two-dimensional random-cluster model is critical for q≥1

The connective constant of the honeycomb lattice equals $2 + 2$

The self-dual point of the two-dimensional random-cluster model is critical for $q \geq 1$