Planar random-cluster model: fractal properties of the critical phase
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Author(s):
Hugo Duminil-Copin; Hugo Duminil-Copin; Ioan Manolescu; Vincent Tassion
Published in:
Probability Theory and Related Fields, 181, Issue 1, 2021, ISSN 0178-8051
Publisher:
Springer Verlag
DOI:
10.1007/s00440-021-01060-6
Renormalization of crossing probabilities in the planar random-cluster model
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Author(s):
Duminil-Copin, Hugo
Tassion Vincent
Published in:
Moscow Mathematical Journal, 2020, ISSN 1609-3321
Publisher:
Independent University of Moscow
DOI:
10.17323/1609-4514-2020-20-4-711-740
Long monotone trails in random edge-labellings of random graphs
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Author(s):
Angel, Omer
Ferber, Asaf
Sudakov, Benny
Tassion, Vincent
Published in:
Combinatorics, Probability and Computing, 2021, ISSN 0963-5483
Publisher:
Cambridge University Press
DOI:
10.48550/arxiv.1808.07351
Subcritical phase of d-dimensional Poisson-Boolean percolation and its vacant set
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Author(s):
Duminil-Copin, Hugo
Raoufi, Aran
Tassion, Vincent
Published in:
Annales Henri Lebesgue, 2020, ISSN 2644-9463
Publisher:
Annales Henri Lebesgue
DOI:
10.5802/ahl.43
Discontinuity of the phase transition for the planar random-cluster and Potts models with q>4
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Author(s):
Duminil-Copin, Hugo
Gagnebin, Maxime
Harel, Matan
Manolescu, Ioan
Tassion, Vincent
Published in:
Annales Scientifiques de L'Ecole Normale Supérieure, 2021, ISSN 0012-9593
Publisher:
Elsevier BV
DOI:
10.24033/asens.2485
Existence of phase transition for percolation using the Gaussian free field
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Author(s):
Duminil-Copin, Hugo
Goswami, Subhajit
Raoufi, Aran
Severo, Franco
Yadin, Ariel
Published in:
Duke University Press, 2020, ISSN 0012-7094
Publisher:
Duke University Press
DOI:
10.1215/00127094-2020-0036