Hugo Duminil‐Copin

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

Vincent Beffara, Hugo Duminil‐Copin · Probability Theory and Related Fields · 2011 · 198 citations · Full text

Engineering, Physics, Two-dimensional Random-cluster Model +9

Random Currents and Continuity of Ising Model’s Spontaneous Magnetization

Michael Aizenman, Hugo Duminil‐Copin, Vladas Sidoravičius · Communications in Mathematical Physics · 2014 · 110 citations · Full text

Spintronics, Magnetism, Engineering +4

Marginal triviality of the scaling limits of critical 4D Ising and $\lambda\phi_4^4$ models

Michael Aizenman, Hugo Duminil‐Copin · Annals of Mathematics · 2021 · 107 citations · Full text

Quantum Lattice System, Engineering, Marginal Triviality +12

Connection probabilities and RSW‐type bounds for the two‐dimensional FK Ising model

Hugo Duminil‐Copin, Clément Hongler, Pierre Nolin · Communications on Pure and Applied Mathematics · 2011 · 89 citations · Full text

Rsw‐type Bounds, Engineering, Spin Systems +16

Self-Avoiding Walk is Sub-Ballistic

Hugo Duminil‐Copin, Alan Hammond · Communications in Mathematical Physics · 2013 · 60 citations · Full text

Bipedal Locomotion, Engineering, Self-avoiding Walk +6