Hugo Duminil-Copin

collaborators

3 papers

math-ph2026

Gaussian free field convergence of the six-vertex model with $- 1 \leq Δ \leq - \frac{1}{2}$

Hugo Duminil-Copin, Karol Kajetan Kozlowski, Piet Lammers +1

We study the isotropic six-vertex model on $Z^{2}$ with spectral parameter $Δ \in [- 1, - 1/2]$ , that is, with weights $a = b = 1$ and $c \in [3, 2]$ .…

math.PR2024

An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions $d > 4$

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 $d > 4$ . Among other results, we obtain up-to-constant estimate…

math.PR2024

An alternative approach for the mean-field behaviour of spread-out Bernoulli percolation in dimensions $d > 6$

Hugo Duminil-Copin, Romain Panis

This article proposes a new way of deriving mean-field exponents for sufficiently spread-out Bernoulli percolation in dimensions $d > 6$ . We obtain an upper bound for the full-space…

Gaussian free field convergence of the six-vertex model with −1≤Δ≤−21​

An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions d>4

An alternative approach for the mean-field behaviour of spread-out Bernoulli percolation in dimensions d>6

Gaussian free field convergence of the six-vertex model with $- 1 \leq Δ \leq - \frac{1}{2}$

An alternative approach for the mean-field behaviour of weakly self-avoiding walks in dimensions $d > 4$

An alternative approach for the mean-field behaviour of spread-out Bernoulli percolation in dimensions $d > 6$