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Critical behavior of lattice models

Publications

SIXTY YEARS OF PERCOLATION

Author(s): HUGO DUMINIL-COPIN
Published in: Proceedings of the International Congress of Mathematicians (ICM 2018), 2019, Page(s) 2829-2856, ISBN 978-981-327-288-0
Publisher: WORLD SCIENTIFIC
DOI: 10.1142/9789813272880_0162

CLUSTER CAPACITY FUNCTIONALS AND ISOMORPHISM THEOREMSFOR GAUSSIAN FREE FIELDS

Author(s): Alexander Drewitz, Alexis Prévost, Pierre-François Rodriguez
Published in: 2021
Publisher: arXiv

UST branches, martingales, and multiple SLE(2)

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

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
Publisher: Institute of Mathematical Statistics

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
Publisher: Duke University Press

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
Publisher: arXiv

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
Publisher: arXiv

Geometry of Gaussian free field sign clusters and random interlacements

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

Renormalization of crossing probabilities in the planar random-cluster model

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

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
Publisher: Birkhauser series « Progress in Probability »

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
Publisher: Centre Mersenne

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
Publisher: arXiv

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
Publisher: arXiv

On the radius of Gaussian free field excursion clusters

Author(s): Subhajit Goswami, Pierre-Francois Rodriguez, Franco Severo
Published in: 2021
Publisher: arxiv

UST branches, martingales, and multiple SLE(2)

Author(s): Alex Karrila
Published in: Electronic Journal of Probability, 25/0, 2020, ISSN 1083-6489
Publisher: Institute of Mathematical Statistics
DOI: 10.1214/20-ejp485

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, 189(1), 2019, Page(s) Princeton University, ISSN 0003-486X
Publisher: Princeton University Press

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, 173(1–2), 2019, Page(s) 479–490, ISSN 0178-8051
Publisher: Springer Verlag

On the double random current nesting field

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

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
Publisher: European Mathematical Society Publishing House

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, 374(2), 2020, Page(s) 891–921, ISSN 0010-3616
Publisher: Springer Verlag

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, 216(3), 2019, Page(s) 661-743, ISSN 0020-9910
Publisher: Springer Verlag