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Critical behavior of lattice models

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Publications

Sharp phase transition for the random-cluster and Potts models via decision trees

Author(s): H. Duminil-Copin, A. Raoufi and V. Tassion
Published in: Annals of Mathematics, Issue 189(1), 2019, Page(s) Princeton University, ISSN 0003-486X

Exponential decay of connection probabilities for subcritical Voronoi percolation in $\mathbb R^d$

Author(s): H. Duminil-Copin, A. Raoufi and V. Tassion
Published in: Probability Theory and Related Fields, Issue 173(1–2), 2019, Page(s) 479–490, ISSN 0178-8051

On the double random current nesting field

Author(s): H. Duminil-Copin and M. Lis
Published in: Probability Theory and Related Fields, Issue 175(3-4), 2019, Page(s) 937-955, ISSN 0178-8051

Macroscopic loops in the loop O(n) model at Nienhuis’ critical point

Author(s): H. Duminil-Copin, A. Glazman, R. Peled and Y. Spinka
Published in: Journal of European MAthematical Society, 2020, ISSN 1435-9855

Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature

Author(s): H. Duminil-Copin, S. Goswami and A. Raoufi
Published in: Communications in Mathematical Physics, Issue 374(2), 2020, Page(s) 891–921, ISSN 0010-3616

Emergent Planarity in two-dimensional Ising Models with finite-range Interactions

Author(s): M. Aizenman, H. Duminil-Copin, V. Tassion and S. Warzel
Published in: Inventiones Mathematicae, Issue 216(3), 2019, Page(s) 661-743, ISSN 0020-9910

UST branches, martingales, and multiple SLE(2)

Author(s): Karrila, Alex
Published in: 2020

Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion

Author(s): H. Duminil-Copin, S. Ganguly, A. Hammond and I. Manolescu
Published in: Annals of Probability, 2020, ISSN 0091-1798

Existence of phase transition for percolation using the Gaussian Free Field

Author(s): H. Duminil-Copin, S. Goswami, A. Raoufi, F. Severo and A. Yadin
Published in: Duke Mathematical Journal, 2019, ISSN 0012-7094

Marginal triviality of the scaling limits of critical 4D Ising and ϕ^4_4 models

Author(s): M. Aizenman and H. Duminil-Copin
Published in: 2020

Dimerization and Néel order in different quantum spin chains through a shared loop representation

Author(s): M. Aizenman, H. Duminil-Copin, and S. Warzel
Published in: 2020

Geometry of Gaussian free field sign clusters and random interlacements

Author(s): Drewitz, Alexander; Prévost, Alexis; Rodriguez, Pierre-François
Published in: 2018

Renormalization of crossing probabilities in the planar random-cluster model

Author(s): H. Duminil-Copin and V. Tassion
Published in: 2019

Upper bounds on the percolation correlation length

Author(s): H. Duminil-Copin, G. Kozma and V. Tassion
Published in: special volume in memory of Vladas Sidoravicius, 2020

Subcritical phase of d-dimensional Poisson-Boolean percolation and its vacant set

Author(s): H. Duminil-Copin, A. Raoufi and V. Tassion
Published in: Annales Henry Lebesgue, 2020

Equality of critical parameters for percolation of Gaussian free field level-sets

Author(s): H. Duminil-Copin, S. Goswami, Rodriguez, Pierre-François and F. Severo
Published in: 2020

Logarithmic variance for the height function of square-ice

Author(s): H. Duminil-Copin, M. Harel, B. Laslier, A. Raoufi, G. Ray
Published in: 2019