Duminil-Copin, Hugo; Rivera, Alejandro; Rodriguez, Pierre-François; Vanneuville, Hugo Erratum to: “Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d \geq 3\)”. (English) Zbl 07810672 Ann. Probab. 52, No. 1, 381-385 (2024). MSC: 60G60 60K35 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Ann. Probab. 52, No. 1, 381--385 (2024; Zbl 07810672) Full Text: DOI Link
Aizenman, Michael; Duminil-Copin, Hugo Corrigendum to: “Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models”. (English) Zbl 1527.60073 Ann. Math. (2) 199, No. 1, 479 (2024). MSC: 60K35 82B20 82B27 60G60 PDFBibTeX XMLCite \textit{M. Aizenman} and \textit{H. Duminil-Copin}, Ann. Math. (2) 199, No. 1, 479 (2024; Zbl 1527.60073) Full Text: DOI
Duminil-Copin, Hugo; Garban, Christophe; Tassion, Vincent Long-range order for critical Book-Ising and Book-percolation. (English) Zbl 07786915 Commun. Math. Phys. 404, No. 3, 1309-1339 (2023). MSC: 82Bxx 60Kxx 82Dxx PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Commun. Math. Phys. 404, No. 3, 1309--1339 (2023; Zbl 07786915) Full Text: DOI arXiv OA License
Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul Universality for two-dimensional critical cellular automata. (English) Zbl 07740436 Proc. Lond. Math. Soc. (3) 126, No. 2, 620-703 (2023). MSC: 60K35 60C05 PDFBibTeX XMLCite \textit{B. Bollobás} et al., Proc. Lond. Math. Soc. (3) 126, No. 2, 620--703 (2023; Zbl 07740436) Full Text: DOI arXiv
Duminil-Copin, Hugo; Goswami, Subhajit; Rodriguez, Pierre-François; Severo, Franco Equality of critical parameters for percolation of Gaussian free field level sets. (English) Zbl 07684355 Duke Math. J. 172, No. 5, 839-913 (2023). Reviewer: Arnaud Le Ny (Paris) MSC: 60K35 60G60 82B43 60G15 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Duke Math. J. 172, No. 5, 839--913 (2023; Zbl 07684355) Full Text: DOI arXiv
Duminil-Copin, Hugo; Rivera, Alejandro; Rodriguez, Pierre-François; Vanneuville, Hugo Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geq 3\). (English) Zbl 1515.60153 Ann. Probab. 51, No. 1, 228-276 (2023); erratum ibid. 52, No. 1, 381-385 (2024). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 60G60 60K35 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Ann. Probab. 51, No. 1, 228--276 (2023; Zbl 1515.60153) Full Text: DOI arXiv
Duminil-Copin, Hugo; Goswami, Subhajit; Rodriguez, Pierre-François; Severo, Franco; Teixeira, Augusto A characterization of strong percolation via disconnection. arXiv:2308.07920 Preprint, arXiv:2308.07920 [math.PR] (2023). MSC: 60K35 60G50 82B43 05C81 BibTeX Cite \textit{H. Duminil-Copin} et al., ``A characterization of strong percolation via disconnection'', Preprint, arXiv:2308.07920 [math.PR] (2023) Full Text: arXiv OA License
Duminil-Copin, Hugo; Goswami, Subhajit; Rodriguez, Pierre-François; Severo, Franco; Teixeira, Augusto Phase transition for the vacant set of random walk and random interlacements. arXiv:2308.07919 Preprint, arXiv:2308.07919 [math.PR] (2023). MSC: 60K35 60G50 82B43 05C81 BibTeX Cite \textit{H. Duminil-Copin} et al., ``Phase transition for the vacant set of random walk and random interlacements'', Preprint, arXiv:2308.07919 [math.PR] (2023) Full Text: arXiv OA License
Duminil-Copin, Hugo; Goswami, Subhajit; Rodriguez, Pierre-François; Severo, Franco; Teixeira, Augusto Finite range interlacements and couplings. arXiv:2308.07303 Preprint, arXiv:2308.07303 [math.PR] (2023). MSC: 60K35 60G50 82B43 05C81 BibTeX Cite \textit{H. Duminil-Copin} et al., ``Finite range interlacements and couplings'', Preprint, arXiv:2308.07303 [math.PR] (2023) Full Text: arXiv OA License
Duminil-Copin, Hugo; Hartarsky, Ivailo Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules. arXiv:2303.13920 Preprint, arXiv:2303.13920 [math.PR] (2023). MSC: 60K35 60C05 BibTeX Cite \textit{H. Duminil-Copin} and \textit{I. Hartarsky}, ``Sharp metastability transition for two-dimensional bootstrap percolation with symmetric isotropic threshold rules'', Preprint, arXiv:2303.13920 [math.PR] (2023) Full Text: arXiv OA License
Duminil-Copin, Hugo; Manolescu, Ioan Planar random-cluster model: scaling relations. (English) Zbl 1512.60065 Forum Math. Pi 10, Paper No. e23, 83 p. (2022). Reviewer: Arnaud Le Ny (Paris) MSC: 60K35 PDFBibTeX XMLCite \textit{H. Duminil-Copin} and \textit{I. Manolescu}, Forum Math. Pi 10, Paper No. e23, 83 p. (2022; Zbl 1512.60065) Full Text: DOI arXiv
Duminil-Copin, Hugo; Harel, Matan; Laslier, Benoit; Raoufi, Aran; Ray, Gourab Logarithmic variance for the height function of square-ice. (English) Zbl 07613401 Commun. Math. Phys. 396, No. 2, 867-902 (2022). MSC: 82Bxx 60Kxx 05Cxx PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Commun. Math. Phys. 396, No. 2, 867--902 (2022; Zbl 07613401) Full Text: DOI arXiv
Duminil-Copin, Hugo; Kozlowski, Karol Kajetan; Krachun, Dmitry; Manolescu, Ioan; Tikhonovskaia, Tatiana On the six-vertex Model’s free energy. (English) Zbl 07606703 Commun. Math. Phys. 395, No. 3, 1383-1430 (2022). MSC: 82Bxx 60Kxx 05Cxx PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Commun. Math. Phys. 395, No. 3, 1383--1430 (2022; Zbl 07606703) Full Text: DOI arXiv
Duminil-Copin, Hugo; Gagnebin, Maxime; Harel, Matan; Manolescu, Ioan; Tassion, Vincent Discontinuity of the phase transition for the planar random-cluster and Potts models with \(q>4\). (Discontinuité de la transition de phase pour la percolation FK et le modèle de Potts avec \(q>4\).) (English. French summary) Zbl 1506.60106 Ann. Sci. Éc. Norm. Supér. (4) 54, No. 6, 1363-1413 (2021). Reviewer: Carlos Gabriel Pacheco (Ciudad de México) MSC: 60K35 82B20 82B23 82B26 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Ann. Sci. Éc. Norm. Supér. (4) 54, No. 6, 1363--1413 (2021; Zbl 1506.60106) Full Text: DOI arXiv
Duminil-Copin, Hugo; Manolescu, Ioan; Tassion, Vincent Planar random-cluster model: fractal properties of the critical phase. (English) Zbl 1475.60195 Probab. Theory Relat. Fields 181, No. 1-3, 401-449 (2021). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Probab. Theory Relat. Fields 181, No. 1--3, 401--449 (2021; Zbl 1475.60195) Full Text: DOI arXiv
Duminil-Copin, Hugo (ed.); Grimmett, Geoffrey R. (ed.) Harry Kesten (1931–2019). (English) Zbl 1475.00147 Probab. Theory Relat. Fields 181, No. 1-3, 1 (2021). MSC: 00B30 PDFBibTeX XMLCite \textit{H. Duminil-Copin} (ed.) and \textit{G. R. Grimmett} (ed.), Probab. Theory Relat. Fields 181, No. 1--3, 1 (2021; Zbl 1475.00147) Full Text: DOI
Duminil-Copin, Hugo; Kozma, Gady; Tassion, Vincent Upper bounds on the percolation correlation length. (English) Zbl 1469.60325 Vares, Maria Eulália (ed.) et al., In and out of equilibrium 3: celebrating Vladas Sidoravicius. Cham: Birkhäuser. Prog. Probab. 77, 347-369 (2021). MSC: 60K35 82B43 82C43 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Prog. Probab. 77, 347--369 (2021; Zbl 1469.60325) Full Text: DOI arXiv
Aizenman, Michael; Duminil-Copin, Hugo Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models. (English) Zbl 1489.60150 Ann. Math. (2) 194, No. 1, 163-235 (2021); corrigendum ibid. 199, No. 1, 479 (2024). Reviewer: Haru Pinson (Tucson) MSC: 60K35 82B20 82B27 60G60 PDFBibTeX XMLCite \textit{M. Aizenman} and \textit{H. Duminil-Copin}, Ann. Math. (2) 194, No. 1, 163--235 (2021; Zbl 1489.60150) Full Text: DOI arXiv
Duminil-Copin, Hugo; Glazman, Alexander; Peled, Ron; Spinka, Yinon Macroscopic loops in the loop \(O(n)\) model at Nienhuis’ critical point. (English) Zbl 1477.60137 J. Eur. Math. Soc. (JEMS) 23, No. 1, 315-347 (2021). Reviewer: Arnaud Le Ny (Paris) MSC: 60K35 82B20 82B27 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., J. Eur. Math. Soc. (JEMS) 23, No. 1, 315--347 (2021; Zbl 1477.60137) Full Text: DOI arXiv
Duminil-Copin, Hugo; Manolescu, Ioan; Tassion, Vincent Near critical scaling relations for planar Bernoulli percolation without differential inequalities. arXiv:2111.14414 Preprint, arXiv:2111.14414 [math.PR] (2021). MSC: 60K35 82B43 82B27 BibTeX Cite \textit{H. Duminil-Copin} et al., ``Near critical scaling relations for planar Bernoulli percolation without differential inequalities'', Preprint, arXiv:2111.14414 [math.PR] (2021) Full Text: arXiv OA License
Duminil-Copin, Hugo; Lis, Marcin; Qian, Wei Conformal invariance of double random currents I: identification of the limit. arXiv:2107.12985 Preprint, arXiv:2107.12985 [math.PR] (2021). BibTeX Cite \textit{H. Duminil-Copin} et al., ``Conformal invariance of double random currents I: identification of the limit'', Preprint, arXiv:2107.12985 [math.PR] (2021) Full Text: arXiv OA License
Duminil-Copin, Hugo; Lis, Marcin; Qian, Wei Conformal invariance of double random currents II: tightness and properties in the discrete. arXiv:2107.12880 Preprint, arXiv:2107.12880 [math.PR] (2021). BibTeX Cite \textit{H. Duminil-Copin} et al., ``Conformal invariance of double random currents II: tightness and properties in the discrete'', Preprint, arXiv:2107.12880 [math.PR] (2021) Full Text: arXiv OA License
Duminil-Copin, Hugo; Tassion, Vincent Renormalization of crossing probabilities in the planar random-cluster model. (English) Zbl 1482.82034 Mosc. Math. J. 20, No. 4, 711-740 (2020). MSC: 82B43 82B28 82B27 PDFBibTeX XMLCite \textit{H. Duminil-Copin} and \textit{V. Tassion}, Mosc. Math. J. 20, No. 4, 711--740 (2020; Zbl 1482.82034) Full Text: arXiv Link
Duminil-Copin, Hugo; Goswami, Subhajit; Raoufi, Aran; Severo, Franco; Yadin, Ariel Existence of phase transition for percolation using the Gaussian free field. (English) Zbl 1470.60275 Duke Math. J. 169, No. 18, 3539-3563 (2020). MSC: 60K35 82B43 82B20 05C25 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Duke Math. J. 169, No. 18, 3539--3563 (2020; Zbl 1470.60275) Full Text: DOI arXiv Euclid
Duminil-Copin, Hugo; Kesten, Harry; Nazarov, Fedor; Peres, Yuval; Sidoravicius, Vladas On the number of maximal paths in directed last-passage percolation. (English) Zbl 1459.60195 Ann. Probab. 48, No. 5, 2176-2188 (2020). MSC: 60K35 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Ann. Probab. 48, No. 5, 2176--2188 (2020; Zbl 1459.60195) Full Text: DOI arXiv Euclid
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 1454.82016 Ann. Henri Lebesgue 3, 677-700 (2020). Reviewer: Hasan Akin (Gaziantep) MSC: 82B43 82B26 82B27 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Ann. Henri Lebesgue 3, 677--700 (2020; Zbl 1454.82016) Full Text: DOI arXiv
Aizenman, Michael; Duminil-Copin, Hugo; Warzel, Simone Dimerization and Néel order in different quantum spin chains through a shared loop representation. (English) Zbl 1453.82003 Ann. Henri Poincaré 21, No. 8, 2737-2774 (2020). MSC: 82B20 82B43 82B26 82B27 60K35 82D40 PDFBibTeX XMLCite \textit{M. Aizenman} et al., Ann. Henri Poincaré 21, No. 8, 2737--2774 (2020; Zbl 1453.82003) Full Text: DOI arXiv
Duminil-Copin, Hugo; Ganguly, Shirshendu; Hammond, Alan; Manolescu, Ioan Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion. (English) Zbl 1453.60154 Ann. Probab. 48, No. 4, 1644-1692 (2020). MSC: 60K35 60D05 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Ann. Probab. 48, No. 4, 1644--1692 (2020; Zbl 1453.60154) Full Text: DOI arXiv Euclid
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Lucas, Cyrille Internal diffusion-limited aggregation with uniform starting points. (English. French summary) Zbl 1434.82062 Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 1, 391-404 (2020). MSC: 82C24 60J45 PDFBibTeX XMLCite \textit{I. Benjamini} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 56, No. 1, 391--404 (2020; Zbl 1434.82062) Full Text: DOI arXiv Euclid
Duminil-Copin, Hugo; Goswami, Subhajit; Raoufi, Aran Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature. (English) Zbl 1475.82003 Commun. Math. Phys. 374, No. 2, 891-921 (2020). Reviewer: Farruh Mukhamedov (Kuantan) MSC: 82B20 82B26 82B27 82B43 60K35 82D40 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Commun. Math. Phys. 374, No. 2, 891--921 (2020; Zbl 1475.82003) Full Text: DOI arXiv
Duminil-Copin, Hugo; Garban, Christophe; Tassion, Vincent Long-range models in 1D revisited. arXiv:2011.04642 Preprint, arXiv:2011.04642 [math.PR] (2020). BibTeX Cite \textit{H. Duminil-Copin} et al., ``Long-range models in 1D revisited'', Preprint, arXiv:2011.04642 [math.PR] (2020) Full Text: arXiv OA License
Duminil-Copin, Hugo; Karrila, Alex; Manolescu, Ioan; Oulamara, Mendes Delocalization of the height function of the six-vertex model. arXiv:2012.13750 Preprint, arXiv:2012.13750 [math.PR] (2020). MSC: 60K35 82B20 82B27 BibTeX Cite \textit{H. Duminil-Copin} et al., ``Delocalization of the height function of the six-vertex model'', Preprint, arXiv:2012.13750 [math.PR] (2020) Full Text: arXiv OA License
Duminil-Copin, Hugo; Kozlowski, Karol Kajetan; Krachun, Dmitry; Manolescu, Ioan; Oulamara, Mendes Rotational invariance in critical planar lattice models. arXiv:2012.11672 Preprint, arXiv:2012.11672 [math.PR] (2020). BibTeX Cite \textit{H. Duminil-Copin} et al., ``Rotational invariance in critical planar lattice models'', Preprint, arXiv:2012.11672 [math.PR] (2020) Full Text: arXiv OA License
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 PDFBibTeX XMLCite \textit{H. Duminil-Copin} and \textit{V. Tassion}, Springer Proc. Math. Stat. 299, 123--134 (2019; Zbl 1446.82006) Full Text: DOI arXiv
Duminil-Copin, Hugo; Lis, Marcin On the double random current nesting field. (English) Zbl 1428.82010 Probab. Theory Relat. Fields 175, No. 3-4, 937-955 (2019). MSC: 82B20 60C05 05C05 PDFBibTeX XMLCite \textit{H. Duminil-Copin} and \textit{M. Lis}, Probab. Theory Relat. Fields 175, No. 3--4, 937--955 (2019; Zbl 1428.82010) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{M. Aizenman} et al., Invent. Math. 216, No. 3, 661--743 (2019; Zbl 1417.82022) Full Text: DOI arXiv
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent Exponential decay of connection probabilities for subcritical Voronoi percolation in \(\mathbb{R}^d\). (English) Zbl 1478.60259 Probab. Theory Relat. Fields 173, No. 1-2, 479-490 (2019). MSC: 60K35 82B21 82B43 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Probab. Theory Relat. Fields 173, No. 1--2, 479--490 (2019; Zbl 1478.60259) 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 1482.82009 Ann. Math. (2) 189, No. 1, 75-99 (2019). Reviewer: A. C. D. van Enter (Groningen) MSC: 82B20 82B43 60K35 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Ann. Math. (2) 189, No. 1, 75--99 (2019; Zbl 1482.82009) Full Text: DOI arXiv
Duminil-Copin, Hugo; van Enter, Aernout C. D.; Hulshof, Tim Higher order corrections for anisotropic bootstrap percolation. (English) Zbl 1404.60149 Probab. Theory Relat. Fields 172, No. 1-2, 191-243 (2018). MSC: 60K35 82B43 82C43 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Probab. Theory Relat. Fields 172, No. 1--2, 191--243 (2018; Zbl 1404.60149) Full Text: DOI arXiv
Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan Universality for the random-cluster model on isoradial graphs. (English) Zbl 1414.60076 Electron. J. Probab. 23, Paper No. 96, 70 p. (2018). MSC: 60K35 82B20 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Electron. J. Probab. 23, Paper No. 96, 70 p. (2018; Zbl 1414.60076) Full Text: DOI arXiv Euclid
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 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Probab. Theory Relat. Fields 171, No. 3--4, 685--708 (2018; Zbl 1428.60138) Full Text: DOI arXiv
Duminil-Copin, Hugo; Hilário, Marcelo R.; Kozma, Gady; Sidoravicius, Vladas Brochette percolation. (English) Zbl 1430.60081 Isr. J. Math. 225, No. 1, 479-501 (2018). MSC: 60K35 82B43 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Isr. J. Math. 225, No. 1, 479--501 (2018; Zbl 1430.60081) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 54, No. 1, 422--436 (2018; Zbl 1395.82043) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Probab. Surv. 15, 102--130 (2018; Zbl 1430.60080) Full Text: DOI arXiv Euclid
Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul The sharp threshold for the Duarte model. (English) Zbl 1454.60141 Ann. Probab. 45, No. 6B, 4222-4272 (2017). MSC: 60K35 60C05 PDFBibTeX XMLCite \textit{B. Bollobás} et al., Ann. Probab. 45, No. 6B, 4222--4272 (2017; Zbl 1454.60141) Full Text: DOI arXiv Euclid
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel Minimal growth harmonic functions on lamplighter groups. (English) Zbl 1374.60146 New York J. Math. 23, 833-858 (2017). MSC: 60J45 30F15 20P05 20F69 PDFBibTeX XMLCite \textit{I. Benjamini} et al., New York J. Math. 23, 833--858 (2017; Zbl 1374.60146) Full Text: arXiv EMIS
Duminil-Copin, Hugo; Peled, Ron; Samotij, Wojciech; Spinka, Yinon Exponential decay of loop lengths in the loop \(\mathrm{O}(n)\) model with large \(n\). (English) Zbl 1359.82007 Commun. Math. Phys. 349, No. 3, 777-817 (2017). MSC: 82B20 82B44 82B26 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Commun. Math. Phys. 349, No. 3, 777--817 (2017; Zbl 1359.82007) Full Text: DOI 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 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Commun. Math. Phys. 349, No. 1, 47--107 (2017; Zbl 1357.82011) Full Text: DOI arXiv
Beffara, Vincent; Duminil-Copin, Hugo Critical point and duality in planar lattice models. (English) Zbl 1391.82006 Sidoravicius, V. (ed.) et al., Probability and statistical physics in St. Petersburg. St. Petersburg School Probability and Statistical Physics, St. Petersburg State University, St. Petersburg, Russia, June 18–29, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-2248-6/hbk; 978-1-4704-2883-9/ebook). Proceedings of Symposia in Pure Mathematics 91, 51-98 (2016). MSC: 82B20 82B27 82B26 82D40 82B43 60K35 PDFBibTeX XMLCite \textit{V. Beffara} and \textit{H. Duminil-Copin}, Proc. Symp. Pure Math. 91, 51--98 (2016; Zbl 1391.82006)
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 PDFBibTeX XMLCite \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
Benoist, Stéphane; Duminil-Copin, Hugo; Hongler, Clément Conformal invariance of crossing probabilities for the Ising model with free boundary conditions. (English. French summary) Zbl 1355.60119 Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 4, 1784-1798 (2016). MSC: 60K35 60J67 82B20 PDFBibTeX XMLCite \textit{S. Benoist} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 52, No. 4, 1784--1798 (2016; Zbl 1355.60119) Full Text: DOI arXiv
Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan A quantitative Burton-Keane estimate under strong FKG condition. (English) Zbl 1357.60109 Ann. Probab. 44, No. 5, 3335-3356 (2016). Reviewer: Arvind Ayyer (Bangalore) MSC: 60K35 82B43 82B20 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Ann. Probab. 44, No. 5, 3335--3356 (2016; Zbl 1357.60109) Full Text: DOI arXiv Euclid
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 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Commun. Pure Appl. Math. 69, No. 7, 1397--1411 (2016; Zbl 1342.82076) Full Text: DOI arXiv
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément Crossing probabilities in topological rectangles for the critical planar FK-Ising model. (English) Zbl 1341.60124 Electron. J. Probab. 21, Paper No. 5, 28 p. (2016). MSC: 60K35 82B20 82B26 PDFBibTeX XMLCite \textit{D. Chelkak} et al., Electron. J. Probab. 21, Paper No. 5, 28 p. (2016; Zbl 1341.60124) Full Text: DOI arXiv Euclid
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 PDFBibTeX XMLCite \textit{H. Duminil-Copin} and \textit{V. Tassion}, Commun. Math. Phys. 343, No. 2, 725--745 (2016; Zbl 1342.82026) Full Text: DOI arXiv
Duminil-Copin, Hugo; van Enter, Aernout Erratum to “Sharp metastability threshold for an anisotropic bootstrap percolation model”. (English) Zbl 1356.60168 Ann. Probab. 44, No. 2, 1599 (2016). MSC: 60K35 82B43 82C43 PDFBibTeX XMLCite \textit{H. Duminil-Copin} and \textit{A. van Enter}, Ann. Probab. 44, No. 2, 1599 (2016; Zbl 1356.60168) Full Text: DOI Euclid
Duminil-Copin, Hugo; Glazman, Alexander; Hammond, Alan; Manolescu, Ioan On the probability that self-avoiding walk ends at a given point. (English) Zbl 1347.60131 Ann. Probab. 44, No. 2, 955-983 (2016). Reviewer: Arvind Ayyer (Bangalore) MSC: 60K35 60G50 60D05 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Ann. Probab. 44, No. 2, 955--983 (2016; Zbl 1347.60131) Full Text: DOI arXiv Euclid
Duminil-Copin, Hugo; Manolescu, Ioan The phase transitions of the planar random-cluster and Potts models with \(q \geq 1\) are sharp. (English) Zbl 1356.60167 Probab. Theory Relat. Fields 164, No. 3-4, 865-892 (2016). Reviewer: Golibjon Isroilovich Botirov (Bukhara) MSC: 60K35 82B20 82B43 PDFBibTeX XMLCite \textit{H. Duminil-Copin} and \textit{I. Manolescu}, Probab. Theory Relat. Fields 164, No. 3--4, 865--892 (2016; Zbl 1356.60167) Full Text: DOI arXiv
Beffara, V.; Duminil-Copin, H.; Smirnov, S. On the critical parameters of the \(q \geqslant 4\) random-cluster model on isoradial graphs. (On the critical parameters of the \(q \leqslant 4\) random-cluster model on isoradial graphs.) (English) Zbl 1342.82018 J. Phys. A, Math. Theor. 48, No. 48, Article ID 484003, 28 p. (2015). Reviewer: Artem Sapozhnikov (Leipzig) MSC: 82B20 82B43 82B27 PDFBibTeX XMLCite \textit{V. Beffara} et al., J. Phys. A, Math. Theor. 48, No. 48, Article ID 484003, 28 p. (2015; Zbl 1342.82018) Full Text: DOI arXiv
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel Disorder, entropy and harmonic functions. (English) Zbl 1337.60248 Ann. Probab. 43, No. 5, 2332-2373 (2015). Reviewer: Weiping Li (Stillwater) MSC: 60K37 60K35 31A05 60G50 60J60 60J10 60B15 82B43 37A35 20P05 PDFBibTeX XMLCite \textit{I. Benjamini} et al., Ann. Probab. 43, No. 5, 2332--2373 (2015; Zbl 1337.60248) Full Text: DOI arXiv Euclid
Ahlberg, Daniel; Duminil-Copin, Hugo; Kozma, Gady; Sidoravicius, Vladas Seven-dimensional forest fires. (English. French summary) Zbl 1323.60123 Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 3, 862-866 (2015). MSC: 60K35 PDFBibTeX XMLCite \textit{D. Ahlberg} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 51, No. 3, 862--866 (2015; Zbl 1323.60123) Full Text: DOI arXiv Euclid
Aizenman, Michael; Duminil-Copin, Hugo; Sidoravicius, Vladas Random currents and continuity of Ising model’s spontaneous magnetization. (English) Zbl 1315.82004 Commun. Math. Phys. 334, No. 2, 719-742 (2015). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 82D40 PDFBibTeX XMLCite \textit{M. Aizenman} et al., Commun. Math. Phys. 334, No. 2, 719--742 (2015; Zbl 1315.82004) Full Text: DOI arXiv
Aizenman, Michael; Duminil-Copin, Hugo WITHDRAWN: The truncated correlations of the Ising model in any dimension decay exponentially fast at all but the critical temperature. arXiv:1506.00625 Preprint, arXiv:1506.00625 [math-ph] (2015); retraction notice ibid. BibTeX Cite \textit{M. Aizenman} and \textit{H. Duminil-Copin}, ``WITHDRAWN: The truncated correlations of the Ising model in any dimension decay exponentially fast at all but the critical temperature'', Preprint, arXiv:1506.00625 [math-ph] (2015); retraction notice ibid. Full Text: arXiv OA License
Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel Supercritical self-avoiding walks are space-filling. (English. French summary) Zbl 1292.60096 Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 2, 315-326 (2014). MSC: 60K35 60C05 82C41 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Ann. Inst. Henri Poincaré, Probab. Stat. 50, No. 2, 315--326 (2014; Zbl 1292.60096) Full Text: DOI arXiv Euclid
Beaton, Nicholas R.; Bousquet-Mélou, Mireille; de Gier, Jan; Duminil-Copin, Hugo; Guttmann, Anthony J. The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is \(1+\sqrt{2}\). (English) Zbl 1288.82006 Commun. Math. Phys. 326, No. 3, 727-754 (2014). MSC: 82B20 82B41 60J67 82B27 PDFBibTeX XMLCite \textit{N. R. Beaton} et al., Commun. Math. Phys. 326, No. 3, 727--754 (2014; Zbl 1288.82006) Full Text: DOI arXiv
Coquille, Loren; Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan On the Gibbs states of the noncritical Potts model on \(\mathbb Z ^2\). (English) Zbl 1288.82008 Probab. Theory Relat. Fields 158, No. 1-2, 477-512 (2014). MSC: 82B20 82B24 60K35 PDFBibTeX XMLCite \textit{L. Coquille} et al., Probab. Theory Relat. Fields 158, No. 1--2, 477--512 (2014; Zbl 1288.82008) Full Text: DOI arXiv
Duminil-Copin, Hugo; Garban, Christophe; Pete, Gábor The near-critical planar FK-Ising model. (English) Zbl 1286.82003 Commun. Math. Phys. 326, No. 1, 1-35 (2014). MSC: 82B20 60K35 82B26 82B27 82B43 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Commun. Math. Phys. 326, No. 1, 1--35 (2014; Zbl 1286.82003) Full Text: DOI arXiv Link
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément; Kemppainen, Antti; Smirnov, Stanislav Convergence of Ising interfaces to Schramm’s SLE curves. (Convergence des interfaces d’Ising vers les courbes SLE introduites par Schramm.) (English. French summary) Zbl 1294.82007 C. R., Math., Acad. Sci. Paris 352, No. 2, 157-161 (2014). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 60J67 82B26 82B27 PDFBibTeX XMLCite \textit{D. Chelkak} et al., C. R., Math., Acad. Sci. Paris 352, No. 2, 157--161 (2014; Zbl 1294.82007) Full Text: DOI arXiv
Duminil-Copin, Hugo; Lucas, Cyrille; Yadin, Ariel; Yehudayoff, Amir Containing internal diffusion limited aggregation. (English) Zbl 1300.60065 Electron. Commun. Probab. 18, Paper No. 50, 8 p. (2013). MSC: 60G50 60K35 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Electron. Commun. Probab. 18, Paper No. 50, 8 p. (2013; Zbl 1300.60065) Full Text: DOI arXiv
Cimasoni, David; Duminil-Copin, Hugo The critical temperature for the Ising model on planar doubly periodic graphs. (English) Zbl 1281.82004 Electron. J. Probab. 18, Paper No. 44, 18 p. (2013). MSC: 82B20 82B27 PDFBibTeX XMLCite \textit{D. Cimasoni} and \textit{H. Duminil-Copin}, Electron. J. Probab. 18, Paper No. 44, 18 p. (2013; Zbl 1281.82004) Full Text: DOI arXiv
Beffara, Vincent; Duminil-Copin, Hugo Planar percolation with a glimpse of Schramm-Loewner evolution. (English) Zbl 1283.60118 Probab. Surv. 10, 1-50 (2013). MSC: 60K35 60J67 PDFBibTeX XMLCite \textit{V. Beffara} and \textit{H. Duminil-Copin}, Probab. Surv. 10, 1--50 (2013; Zbl 1283.60118) Full Text: DOI arXiv
Duminil-Copin, Hugo; Hammond, Alan Self-avoiding walk is sub-ballistic. (English) Zbl 1277.82027 Commun. Math. Phys. 324, No. 2, 401-423 (2013). MSC: 82B41 60K35 82B26 PDFBibTeX XMLCite \textit{H. Duminil-Copin} and \textit{A. Hammond}, Commun. Math. Phys. 324, No. 2, 401--423 (2013; Zbl 1277.82027) Full Text: DOI arXiv
Duminil-Copin, H.; van Enter, A. C. D. Sharp metastability threshold for an anisotropic bootstrap percolation model. (English) Zbl 1356.60166 Ann. Probab. 41, No. 3A, 1218-1242 (2013); erratum ibid. 44, No. 2, 1599 (2016). MSC: 60K35 82B43 82C43 PDFBibTeX XMLCite \textit{H. Duminil-Copin} and \textit{A. C. D. van Enter}, Ann. Probab. 41, No. 3A, 1218--1242 (2013; Zbl 1356.60166) Full Text: DOI arXiv Euclid
Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon Lectures on self-avoiding walks. (English) Zbl 1317.60125 Ellwood, David (ed.) et al., Probability and statistical physics in two and more dimensions. Proceedings of the Clay Mathematics Institute summer school and XIV Brazilian school of probability, Búzios, Brazil, July 11–August 7, 2010. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-6863-8/pbk). Clay Mathematics Proceedings 15, 395-467 (2012). MSC: 60K35 60J67 82B41 PDFBibTeX XMLCite \textit{R. Bauerschmidt} et al., Clay Math. Proc. 15, 395--467 (2012; Zbl 1317.60125) Full Text: arXiv
Duminil-Copin, Hugo; Smirnov, Stanislav Conformal invariance of lattice models. (English) Zbl 1317.60002 Ellwood, David (ed.) et al., Probability and statistical physics in two and more dimensions. Proceedings of the Clay Mathematics Institute summer school and XIV Brazilian school of probability, Búzios, Brazil, July 11–August 7, 2010. Providence, RI: American Mathematical Society (AMS); Cambridge, MA: Clay Mathematics Institute (ISBN 978-0-8218-6863-8/pbk). Clay Mathematics Proceedings 15, 213-276 (2012). MSC: 60-02 60K35 60J67 82B20 82B23 30C35 30C85 PDFBibTeX XMLCite \textit{H. Duminil-Copin} and \textit{S. Smirnov}, Clay Math. Proc. 15, 213--276 (2012; Zbl 1317.60002) Full Text: arXiv
Beffara, V.; Duminil-Copin, H. Smirnov’s fermionic observable away from criticality. (English) Zbl 1339.60136 Ann. Probab. 40, No. 6, 2667-2689 (2012). Reviewer: Haru Pinson (Tucson) MSC: 60K35 82B20 82B26 82B43 82B27 PDFBibTeX XMLCite \textit{V. Beffara} and \textit{H. Duminil-Copin}, Ann. Probab. 40, No. 6, 2667--2689 (2012; Zbl 1339.60136) Full Text: DOI arXiv Euclid
Beffara, Vincent; Duminil-Copin, Hugo The self-dual point of the two-dimensional random-cluster model is critical for \(q \geqslant 1\). (English) Zbl 1257.82014 Probab. Theory Relat. Fields 153, No. 3-4, 511-542 (2012). Reviewer: Nasir N. Ganikhodjaev (Kuantan) MSC: 82B20 82B27 82B26 60K35 82B43 PDFBibTeX XMLCite \textit{V. Beffara} and \textit{H. Duminil-Copin}, Probab. Theory Relat. Fields 153, No. 3--4, 511--542 (2012; Zbl 1257.82014) Full Text: DOI arXiv
Duminil-Copin, Hugo; Smirnov, Stanislav The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\). (English) Zbl 1253.82012 Ann. Math. (2) 175, No. 3, 1653-1665 (2012). Reviewer: Utkir Rozikov (Tashkent) MSC: 82B20 82B41 PDFBibTeX XMLCite \textit{H. Duminil-Copin} and \textit{S. Smirnov}, Ann. Math. (2) 175, No. 3, 1653--1665 (2012; Zbl 1253.82012) Full Text: DOI arXiv
Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert The sharp threshold for bootstrap percolation in all dimensions. (English) Zbl 1238.60108 Trans. Am. Math. Soc. 364, No. 5, 2667-2701 (2012). MSC: 60K35 60C05 PDFBibTeX XMLCite \textit{J. Balogh} et al., Trans. Am. Math. Soc. 364, No. 5, 2667--2701 (2012; Zbl 1238.60108) Full Text: DOI arXiv
Duminil-Copin, Hugo; Hongler, Clément; Nolin, Pierre Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model. (English) Zbl 1227.82015 Commun. Pure Appl. Math. 64, No. 9, 1165-1198 (2011). MSC: 82B20 82B43 82B27 PDFBibTeX XMLCite \textit{H. Duminil-Copin} et al., Commun. Pure Appl. Math. 64, No. 9, 1165--1198 (2011; Zbl 1227.82015) Full Text: DOI arXiv Link
Alberts, Tom; Duminil-Copin, Hugo Bridge decomposition of restriction measures. (English) Zbl 1197.82055 J. Stat. Phys. 140, No. 3, 467-493 (2010). MSC: 82B41 60J65 60G55 PDFBibTeX XMLCite \textit{T. Alberts} and \textit{H. Duminil-Copin}, J. Stat. Phys. 140, No. 3, 467--493 (2010; Zbl 1197.82055) Full Text: DOI arXiv