4 citations · 6 across the 7 of their papers we have counts for
7 papers
A random walk approach to high-dimensional critical phenomena
Hugo Duminil-Copin, Aman Markar, Romain Panis +1
We present a "black box" proof of mean-field near-critical behaviour for a family of functions on () satisfying a short list of assumptions. The functions repr…
Gaussian free field convergence of the six-vertex model with
Hugo Duminil-Copin, Karol Kajetan Kozlowski, Piet Lammers +1
We study the isotropic six-vertex model on with spectral parameter , that is, with weights and .…
An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions
Hugo Duminil-Copin, Romain Panis
This article proposes a new way of deriving mean-field exponents for the weakly self-avoiding walk model in dimensions . Among other results, we obtain up-to-constant estimate…
An alternative approach for the mean-field behaviour of spread-out Bernoulli percolation in dimensions
Hugo Duminil-Copin, Romain Panis
This article proposes a new way of deriving mean-field exponents for sufficiently spread-out Bernoulli percolation in dimensions . We obtain an upper bound for the full-space…
New lower bounds for the (near) critical Ising and models' two-point functions
Hugo Duminil-Copin, Romain Panis
We study the nearest-neighbour Ising and models on with and obtain new lower bounds on their two-point functions at (and near) criticality. Together w…
Divergence of the correlation length for critical planar FK percolation with via parafermionic observables
Hugo Duminil-Copin
Parafermionic observables were introduced by Smirnov for planar FK percolation in order to study the critical phase . This article gathers several known propertie…
Containing Internal Diffusion Limited Aggregation
Hugo Duminil-Copin, Cyrille Lucas, Ariel Yadin +1
Internal Diffusion Limited Aggregation (IDLA) is a model that describes the growth of a random aggregate of particles from the inside out. Shellef proved that IDLA processes on sup…