Publications (49)
Renormalization of crossing probabilities in the planar random-cluster model
Hugo Duminil-Copin, Vincent Tassion
A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model
Hugo Duminil-Copin, Vincent Tassion
Subcritical phase of $d$-dimensional Poisson-Boolean percolation and its vacant set
Hugo Duminil-Copin, Aran Raoufi, Vincent Tassion
Discontinuity of the phase transition for the planar random-cluster and Potts models with $q>4$
Hugo Duminil-Copin, Maxime Gagnebin, Matan Harel +2
On the number of maximal paths in directed last-passage percolation
Hugo Duminil-Copin, Harry Kesten, Fedor Nazarov +2
Divergence of the correlation length for critical planar FK percolation with $1\le q\le4$ via parafermionic observables
Hugo Duminil-Copin
Exponential decay of connection probabilities for subcritical Voronoi percolation in $\mathbb{R}^d$
Hugo Duminil-Copin, Aran Raoufi, Vincent Tassion
Crossing probabilities in topological rectangles for the critical planar FK-Ising model
Dmitry Chelkak, Hugo Duminil-Copin, Clément Hongler
Minimal growth harmonic functions on lamplighter groups
Itai Benjamini, Hugo Duminil-Copin, Gady Kozma +1
The connective constant of the honeycomb lattice equals $\sqrt{2+\sqrt2}$
Hugo Duminil-Copin, Stanislav Smirnov
On the critical parameters of the $q\ge4$ random-cluster model on isoradial graphs
Vincent Beffara, Hugo Duminil-Copin, Stanislav Smirnov
The critical temperature for the Ising model on planar doubly periodic graphs
David Cimasoni, Hugo Duminil-Copin
Higher order corrections for anisotropic bootstrap percolation
Hugo Duminil-Copin, Aernout C. D. van Enter, Tim Hulshof
Lectures on the Ising and Potts models on the hypercubic lattice
Hugo Duminil-Copin
Continuity of the phase transition for planar random-cluster and Potts models with $1\le q\le4$
Hugo Duminil-Copin, Vladas Sidoravicius, Vincent Tassion
The sharp threshold for the Duarte model
Béla Bollobás, Hugo Duminil-Copin, Robert Morris +1
Convergence of Ising interfaces to Schramm's SLE curves
Dmitry Chelkak, Hugo Duminil-Copin, Clément Hongler +2
Planar percolation with a glimpse of Schramm-Loewner Evolution
Vincent Beffara, Hugo Duminil-Copin
Sharp phase transition for the random-cluster and Potts models via decision trees
Hugo Duminil-Copin, Aran Raoufi, Vincent Tassion
The truncated correlations of the Ising model in any dimension decay exponentially fast at all but the critical temperature
Michael Aizenman, Hugo Duminil-Copin
Self-avoiding walk is sub-ballistic
Hugo Duminil-Copin, Alan Hammond
The sharp threshold for bootstrap percolation in all dimensions
József Balogh, Béla Bollobás, Hugo Duminil-Copin +1
On the Gibbs states of the noncritical Potts model on Z^2
Loren Coquille, Hugo Duminil-Copin, Dmitry Ioffe +1
Sixty years of percolation
Hugo Duminil-Copin
A quantitative Burton-Keane estimate under strong FKG condition
Hugo Duminil-Copin, Dmitry Ioffe, Yvan Velenik
Absence of infinite cluster for critical Bernoulli percolation on slabs
Hugo Duminil-Copin, Vladas Sidoravicius, Vincent Tassion
Connection probabilities and RSW-type bounds for the FK Ising model
Hugo Duminil-Copin, Clément Hongler, Pierre Nolin
Disorder, entropy and harmonic functions
Itai Benjamini, Hugo Duminil-Copin, Gady Kozma +1
The near-critical planar FK-Ising model
Hugo Duminil-Copin, Christophe Garban, Gábor Pete
A note on Schramm's locality conjecture for random-cluster models
Hugo Duminil-Copin, Vincent Tassion
Random currents expansion of the Ising model
Hugo Duminil-Copin
The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is $1+\sqrt{2}$
Nicholas R. Beaton, Mireille Bousquet-Mélou, Jan de Gier +2
Conformal invariance of crossing probabilities for the Ising model with free boundary conditions
Stéphane Benoist, Hugo Duminil-Copin, Clément Hongler
A new proof of the sharpness of the phase transition for Bernoulli percolation on $\mathbb Z^d$
Hugo Duminil-Copin, Vincent Tassion
The box-crossing property for critical two-dimensional oriented percolation
Hugo Duminil-Copin, Vincent Tassion, Augusto Teixeira
Containing Internal Diffusion Limited Aggregation
Hugo Duminil-Copin, Cyrille Lucas, Ariel Yadin +1
Supercritical self-avoiding walks are space-filling
Hugo Duminil-Copin, Gady Kozma, Ariel Yadin
Seven-dimensional forest fires
Daniel Ahlberg, Hugo Duminil-Copin, Gady Kozma +1
Conformal invariance of lattice models
Hugo Duminil-Copin, Stanislav Smirnov
Random Currents and Continuity of Ising Model's Spontaneous Magnetization
Michael Aizenman, Hugo Duminil-Copin, Vladas Sidoravicius
The self-dual point of the two-dimensional random-cluster model is critical for $q\geq 1$
Vincent Beffara, Hugo Duminil-Copin
Lectures on Self-Avoiding Walks
Roland Bauerschmidt, Hugo Duminil-Copin, Jesse Goodman +1
Limit of the Wulff Crystal when approaching criticality for site percolation on the triangular lattice
Hugo Duminil-Copin
Sharp threshold phenomena in statistical physics
Hugo Duminil-Copin
Exponential decay of loop lengths in the loop $O(n)$ model with large $n$
Hugo Duminil-Copin, Ron Peled, Wojciech Samotij +1
A new computation of the critical point for the planar random-cluster model with $q\ge1$
Hugo Duminil-Copin, Aran Raoufi, Vincent Tassion
On the double random current nesting field
Hugo Duminil-Copin, Marcin Lis
Brochette percolation
Hugo Duminil-Copin, Marcelo R. Hilario, Gady Kozma +1
Bridge Decomposition of Restriction Measures
Tom Alberts, Hugo Duminil-Copin