Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent Subcritical phase of \(d\)-dimensional Poisson-Boolean percolation and its vacant set. (Phase sous-critique du modèle de percolation Poisson-Booléen et de son complémentaire en dimension \(d\).) (English. French summary) Zbl 07249463 Ann. Henri Lebesgue 3, 677-700 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 82B43 82B26 82B27 PDF BibTeX XML Cite \textit{H. Duminil-Copin} et al., Ann. Henri Lebesgue 3, 677--700 (2020; Zbl 07249463) Full Text: DOI
Duminil-Copin, Hugo; Tassion, Vincent A note on Schramm’s locality conjecture for random-cluster models. (English) Zbl 1446.82006 Sidoravicius, Vladas (ed.), Sojourns in probability theory and statistical physics. II. Brownian web and percolation, a festschrift for Charles M. Newman. Singapore: Springer; Shanghai: NYU Shanghai. Springer Proc. Math. Stat. 299, 123-134 (2019). MSC: 82B20 82B26 82B27 82B43 60K35 PDF BibTeX XML Cite \textit{H. Duminil-Copin} and \textit{V. Tassion}, Springer Proc. Math. Stat. 299, 123--134 (2019; Zbl 1446.82006) Full Text: DOI
Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone Emergent planarity in two-dimensional Ising models with finite-range interactions. (English) Zbl 1417.82022 Invent. Math. 216, No. 3, 661-743 (2019). MSC: 82C20 82C22 82C44 58A17 PDF BibTeX XML Cite \textit{M. Aizenman} et al., Invent. Math. 216, No. 3, 661--743 (2019; Zbl 1417.82022) Full Text: DOI
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent Exponential decay of connection probabilities for subcritical Voronoi percolation in \(\mathbb {R}^d\). (English) Zbl 07030876 Probab. Theory Relat. Fields 173, No. 1-2, 479-490 (2019). MSC: 60K35 82B21 82B43 PDF BibTeX XML Cite \textit{H. Duminil-Copin} et al., Probab. Theory Relat. Fields 173, No. 1--2, 479--490 (2019; Zbl 07030876) Full Text: DOI arXiv
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent Sharp phase transition for the random-cluster and Potts models via decision trees. (English) Zbl 07003145 Ann. Math. (2) 189, No. 1, 75-99 (2019). MSC: 60K35 PDF BibTeX XML Cite \textit{H. Duminil-Copin} et al., Ann. Math. (2) 189, No. 1, 75--99 (2019; Zbl 07003145) Full Text: DOI arXiv
Duminil-Copin, H.; Tassion, Vincent; Teixeira, Augusto The box-crossing property for critical two-dimensional oriented percolation. (English) Zbl 1428.60138 Probab. Theory Relat. Fields 171, No. 3-4, 685-708 (2018). MSC: 60K35 82B43 82C43 PDF BibTeX XML Cite \textit{H. Duminil-Copin} et al., Probab. Theory Relat. Fields 171, No. 3--4, 685--708 (2018; Zbl 1428.60138) Full Text: DOI
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent A new computation of the critical point for the planar random-cluster model with \(q\geq1\). (English. French summary) Zbl 1395.82043 Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 1, 422-436 (2018). Reviewer: E. Ahmed (Mansoura) MSC: 82B20 60K35 82B26 82B43 82B27 PDF BibTeX XML Cite \textit{H. Duminil-Copin} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 1, 422--436 (2018; Zbl 1395.82043) Full Text: DOI
Duminil-Copin, Hugo; Tassion, Vincent Correction to: “A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model”. (English) Zbl 1408.82001 Commun. Math. Phys. 359, No. 2, 821-822 (2018). MSC: 82B20 PDF BibTeX XML Cite \textit{H. Duminil-Copin} and \textit{V. Tassion}, Commun. Math. Phys. 359, No. 2, 821--822 (2018; Zbl 1408.82001) Full Text: DOI
Duminil-Copin, Hugo; Gagnebin, Maxime; Harel, Matan; Manolescu, Ioan; Tassion, Vincent The Bethe ansatz for the six-vertex and XXZ models: an exposition. (English) Zbl 1430.60080 Probab. Surv. 15, 102-130 (2018). MSC: 60K35 82B20 82B23 82B26 PDF BibTeX XML Cite \textit{H. Duminil-Copin} et al., Probab. Surv. 15, 102--130 (2018; Zbl 1430.60080) Full Text: DOI Euclid arXiv
Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent Continuity of the phase transition for planar random-cluster and Potts models with \({1 \leq q \leq 4}\). (English) Zbl 1357.82011 Commun. Math. Phys. 349, No. 1, 47-107 (2017). MSC: 82B20 60K35 82B26 82D40 82B27 PDF BibTeX XML Cite \textit{H. Duminil-Copin} et al., Commun. Math. Phys. 349, No. 1, 47--107 (2017; Zbl 1357.82011) Full Text: DOI arXiv
Duminil-Copin, Hugo; Tassion, Vincent A new proof of the sharpness of the phase transition for Bernoulli percolation on \(\mathbb{Z}^d\). (English) Zbl 1359.60118 Enseign. Math. (2) 62, No. 1-2, 199-206 (2016). MSC: 60K35 82B43 PDF BibTeX XML Cite \textit{H. Duminil-Copin} and \textit{V. Tassion}, Enseign. Math. (2) 62, No. 1--2, 199--206 (2016; Zbl 1359.60118) Full Text: DOI arXiv
Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent Absence of infinite cluster for critical Bernoulli percolation on slabs. (English) Zbl 1342.82076 Commun. Pure Appl. Math. 69, No. 7, 1397-1411 (2016). MSC: 82B43 60K35 82B26 PDF BibTeX XML Cite \textit{H. Duminil-Copin} et al., Commun. Pure Appl. Math. 69, No. 7, 1397--1411 (2016; Zbl 1342.82076) Full Text: DOI arXiv
Duminil-Copin, Hugo; Tassion, Vincent A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model. (English) Zbl 1342.82026 Commun. Math. Phys. 343, No. 2, 725-745 (2016); correction ibid. 359, No. 2, 821-822 (2018). Reviewer: E. Ahmed (Mansoura) MSC: 82B20 PDF BibTeX XML Cite \textit{H. Duminil-Copin} and \textit{V. Tassion}, Commun. Math. Phys. 343, No. 2, 725--745 (2016; Zbl 1342.82026) Full Text: DOI arXiv