Hugo Duminil-Copin

activity

20112026

most citedDivergence of the correlation length for critical planar FK percolation with

1 \leq q \leq 4

via parafermionic observables

4 citations · 6 across the 7 of their papers we have counts for

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math.PR2026

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 $Z^{d}$ ( $d > 2$ ) satisfying a short list of assumptions. The functions repr…

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 $c \in [3, 2]$ .…

A random walk approach to high-dimensional critical phenomena

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

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