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

collaborators

Showing 2024 · math.PRShow all

3 papers · 2 filters

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…

math.PR2024

New lower bounds for the (near) critical Ising and $φ^{4}$ models' two-point functions

Hugo Duminil-Copin, Romain Panis

We study the nearest-neighbour Ising and $φ^{4}$ models on $Z^{d}$ with $d \geq 3$ and obtain new lower bounds on their two-point functions at (and near) criticality. Together w…

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

New lower bounds for the (near) critical Ising and φ4 models' two-point functions

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 $d > 6$

New lower bounds for the (near) critical Ising and $φ^{4}$ models' two-point functions