Edit Profile (opens in new tab) Duminil-Copin, Hugo Co-Author Distance Author ID: duminil-copin.hugo Published as: Duminil-Copin, Hugo; Duminil-Copin, H. Homepage: http://www.ihes.fr/~duminil/ External Links: MGP · ORCID · Wikidata · Google Scholar · Twitter · GND · IdRef · theses.fr Awards: EMS Prize (2016) · New Horizons in Mathematics Prize (2017) · Fields Medal (2022) Documents Indexed: 77 Publications since 2010, including 1 Book 1 Contribution as Editor Biographic References: 2 Publications Co-Authors: 65 Co-Authors with 68 Joint Publications 1,418 Co-Co-Authors all top 5 Co-Authors 10 single-authored 17 Tassion, Vincent 9 Manolescu, Ioan 7 Kozma, Gady 7 Raoufi, Aran 6 Sidoravicius, Vladas 5 Beffara, Vincent 5 Yadin, Ariel 4 Aizenman, Michael 4 Hongler, Clément 4 Smirnov, Stanislav Konstantinovich 3 Benjamini, Itai 3 Bollobás, Béla 3 Goswami, Subhajit 3 Hammond, Alan 3 Harel, Matan 3 Morris, Robert D. 3 van Enter, Aernout C. D. 2 Chelkak, Dmitry 2 Gagnebin, Maxime 2 Glazman, Alexander 2 Ioffe, Dmitry 2 Lucas, Cyrille 2 Peled, Ron 2 Rodriguez, Pierre-François 2 Severo, Franco 2 Smith, Paul 2 Spinka, Yinon 2 Velenik, Yvan 2 Warzel, Simone 1 Ahlberg, Daniel 1 Alberts, Tom 1 Balogh, József 1 Bauerschmidt, Roland 1 Beaton, Nicholas R. 1 Benoist, Stéphane 1 Bousquet-Mélou, Mireille 1 Cimasoni, David 1 Coquille, Loren 1 de Gier, Jan 1 Ganguly, Shirshendu 1 Garban, Christophe 1 Goodman, Jesse 1 Grimmett, Geoffrey R. 1 Guttmann, Anthony John 1 Hilário, Marcelo Richard 1 Hulshof, Tim 1 Kemppainen, Antti 1 Kesten, Harry 1 Kozlowski, Karol Kajetan 1 Krachun, Dmitry 1 Laslier, Benoît 1 Li, Jhih-Huang 1 Lis, Marcin 1 Nazarov, Fedor L. 1 Nolin, Pierre 1 Peres, Yuval 1 Pete, Gábor 1 Ray, Gourab 1 Rivera, Alejandro 1 Samotij, Wojciech 1 Slade, Gordon 1 Teixeira, Augusto Quadros 1 Tikhonovskaia, Tatiana 1 Vanneuville, Hugo 1 Yehudayoff, Amir all top 5 Serials 11 Communications in Mathematical Physics 10 The Annals of Probability 9 Probability Theory and Related Fields 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Electronic Journal of Probability 3 Annals of Mathematics. Second Series 2 Communications on Pure and Applied Mathematics 2 Duke Mathematical Journal 2 Electronic Communications in Probability 2 Journal of Physics A: Mathematical and Theoretical 2 Probability Surveys 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Gazette des Mathématiciens 1 Inventiones Mathematicae 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 L’Enseignement Mathématique. 2e Série 1 The New York Journal of Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Annales Henri Poincaré 1 Moscow Mathematical Journal 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Ensaios Matemáticos 1 RIMS Kôkyûroku Bessatsu 1 Japanese Journal of Mathematics. 3rd Series 1 Forum of Mathematics, Pi 1 Annales Henri Lebesgue all top 5 Fields 65 Statistical mechanics, structure of matter (82-XX) 61 Probability theory and stochastic processes (60-XX) 4 Combinatorics (05-XX) 3 Functions of a complex variable (30-XX) 2 General and overarching topics; collections (00-XX) 2 Group theory and generalizations (20-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 74 Publications have been cited 1,226 times in 591 Documents Cited by ▼ Year ▼ The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert 83 2012 The self-dual point of the two-dimensional random-cluster model is critical for \(q \geqslant 1\). Zbl 1257.82014Beffara, Vincent; Duminil-Copin, Hugo 80 2012 Convergence of Ising interfaces to Schramm’s SLE curves. (Convergence des interfaces d’Ising vers les courbes SLE introduites par Schramm.) Zbl 1294.82007Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément; Kemppainen, Antti; Smirnov, Stanislav 78 2014 A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model. Zbl 1342.82026Duminil-Copin, Hugo; Tassion, Vincent 59 2016 The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\). Zbl 1253.82012Duminil-Copin, Hugo; Smirnov, Stanislav 58 2012 Sharp phase transition for the random-cluster and Potts models via decision trees. Zbl 1482.82009Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 57 2019 Continuity of the phase transition for planar random-cluster and Potts models with \({1 \leq q \leq 4}\). Zbl 1357.82011Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent 51 2017 Random currents and continuity of Ising model’s spontaneous magnetization. Zbl 1315.82004Aizenman, Michael; Duminil-Copin, Hugo; Sidoravicius, Vladas 48 2015 Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model. Zbl 1227.82015Duminil-Copin, Hugo; Hongler, Clément; Nolin, Pierre 38 2011 Lectures on self-avoiding walks. Zbl 1317.60125Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon 37 2012 Conformal invariance of lattice models. Zbl 1317.60002Duminil-Copin, Hugo; Smirnov, Stanislav 26 2012 The Bethe ansatz for the six-vertex and XXZ models: an exposition. Zbl 1430.60080Duminil-Copin, Hugo; Gagnebin, Maxime; Harel, Matan; Manolescu, Ioan; Tassion, Vincent 25 2018 Disorder, entropy and harmonic functions. Zbl 1337.60248Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 25 2015 A new computation of the critical point for the planar random-cluster model with \(q\geq1\). Zbl 1395.82043Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 25 2018 Lectures on the Ising and Potts models on the hypercubic lattice. Zbl 1447.82007Duminil-Copin, Hugo 25 2020 Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément 24 2016 Sharp metastability threshold for an anisotropic bootstrap percolation model. Zbl 1356.60166Duminil-Copin, H.; van Enter, A. C. D. 21 2013 The critical temperature for the Ising model on planar doubly periodic graphs. Zbl 1281.82004Cimasoni, David; Duminil-Copin, Hugo 21 2013 A new proof of the sharpness of the phase transition for Bernoulli percolation on \(\mathbb{Z}^d\). Zbl 1359.60118Duminil-Copin, Hugo; Tassion, Vincent 20 2016 Parafermionic observables and their applications to planar statistical physics models. Zbl 1298.82001Duminil-Copin, Hugo 20 2013 The phase transitions of the planar random-cluster and Potts models with \(q \geq 1\) are sharp. Zbl 1356.60167Duminil-Copin, Hugo; Manolescu, Ioan 18 2016 Exponential decay of connection probabilities for subcritical Voronoi percolation in \(\mathbb{R}^d\). Zbl 1478.60259Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 17 2019 Smirnov’s fermionic observable away from criticality. Zbl 1339.60136Beffara, V.; Duminil-Copin, H. 16 2012 Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models. Zbl 1489.60150Aizenman, Michael; Duminil-Copin, Hugo 16 2021 The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is \(1+\sqrt{2}\). Zbl 1288.82006Beaton, Nicholas R.; Bousquet-Mélou, Mireille; de Gier, Jan; Duminil-Copin, Hugo; Guttmann, Anthony J. 15 2014 Self-avoiding walk is sub-ballistic. Zbl 1277.82027Duminil-Copin, Hugo; Hammond, Alan 15 2013 The sharp threshold for the Duarte model. Zbl 1454.60141Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul 15 2017 Macroscopic loops in the loop \(O(n)\) model at Nienhuis’ critical point. Zbl 1477.60137Duminil-Copin, Hugo; Glazman, Alexander; Peled, Ron; Spinka, Yinon 15 2021 Exponential decay of loop lengths in the loop \(\mathrm{O}(n)\) model with large \(n\). Zbl 1359.82007Duminil-Copin, Hugo; Peled, Ron; Samotij, Wojciech; Spinka, Yinon 15 2017 Universality for the random-cluster model on isoradial graphs. Zbl 1414.60076Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan 14 2018 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 \(d\).) Zbl 1454.82016Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 13 2020 On the Gibbs states of the noncritical Potts model on \(\mathbb Z ^2\). Zbl 1288.82008Coquille, Loren; Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan 11 2014 Existence of phase transition for percolation using the Gaussian free field. Zbl 1470.60275Duminil-Copin, Hugo; Goswami, Subhajit; Raoufi, Aran; Severo, Franco; Yadin, Ariel 11 2020 Conformal invariance of crossing probabilities for the Ising model with free boundary conditions. Zbl 1355.60119Benoist, Stéphane; Duminil-Copin, Hugo; Hongler, Clément 11 2016 The near-critical planar FK-Ising model. Zbl 1286.82003Duminil-Copin, Hugo; Garban, Christophe; Pete, Gábor 10 2014 Supercritical self-avoiding walks are space-filling. Zbl 1292.60096Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 10 2014 Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone 10 2019 Absence of infinite cluster for critical Bernoulli percolation on slabs. Zbl 1342.82076Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent 9 2016 Seven-dimensional forest fires. Zbl 1323.60123Ahlberg, Daniel; Duminil-Copin, Hugo; Kozma, Gady; Sidoravicius, Vladas 9 2015 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.) Zbl 1342.82018Beffara, V.; Duminil-Copin, H.; Smirnov, S. 9 2015 Planar percolation with a glimpse of Schramm-Loewner evolution. Zbl 1283.60118Beffara, Vincent; Duminil-Copin, Hugo 9 2013 Higher order corrections for anisotropic bootstrap percolation. Zbl 1404.60149Duminil-Copin, Hugo; van Enter, Aernout C. D.; Hulshof, Tim 8 2018 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 \(q>4\).) Zbl 1506.60106Duminil-Copin, Hugo; Gagnebin, Maxime; Harel, Matan; Manolescu, Ioan; Tassion, Vincent 8 2021 Planar random-cluster model: fractal properties of the critical phase. Zbl 1475.60195Duminil-Copin, Hugo; Manolescu, Ioan; Tassion, Vincent 7 2021 Containing internal diffusion limited aggregation. Zbl 1300.60065Duminil-Copin, Hugo; Lucas, Cyrille; Yadin, Ariel; Yehudayoff, Amir 6 2013 Random currents expansion of the Ising model. Zbl 1403.82005Duminil-Copin, Hugo 6 2018 Divergence of the correlation length for critical planar FK percolation with \(1\leq q\leq 4\) via parafermionic observables. Zbl 1257.82051Duminil-Copin, H. 6 2012 Equality of critical parameters for percolation of Gaussian free field level sets. Zbl 07684355Duminil-Copin, Hugo; Goswami, Subhajit; Rodriguez, Pierre-François; Severo, Franco 6 2023 Upper bounds on the percolation correlation length. Zbl 1469.60325Duminil-Copin, Hugo; Kozma, Gady; Tassion, Vincent 6 2021 Renormalization of crossing probabilities in the planar random-cluster model. Zbl 1482.82034Duminil-Copin, Hugo; Tassion, Vincent 6 2020 The box-crossing property for critical two-dimensional oriented percolation. Zbl 1428.60138Duminil-Copin, H.; Tassion, Vincent; Teixeira, Augusto 5 2018 On the probability that self-avoiding walk ends at a given point. Zbl 1347.60131Duminil-Copin, Hugo; Glazman, Alexander; Hammond, Alan; Manolescu, Ioan 5 2016 Correction to: “A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model”. Zbl 1408.82001Duminil-Copin, Hugo; Tassion, Vincent 5 2018 Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature. Zbl 1475.82003Duminil-Copin, Hugo; Goswami, Subhajit; Raoufi, Aran 5 2020 Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 5 2017 Brochette percolation. Zbl 1430.60081Duminil-Copin, Hugo; Hilário, Marcelo R.; Kozma, Gady; Sidoravicius, Vladas 4 2018 On the number of maximal paths in directed last-passage percolation. Zbl 1459.60195Duminil-Copin, Hugo; Kesten, Harry; Nazarov, Fedor; Peres, Yuval; Sidoravicius, Vladas 4 2020 A new proof of first order phase transition for the planar random-cluster and Potts models with \(q \gg 1\). Zbl 1377.60090Duminil-Copin, Hugo 4 2016 Sixty years of percolation. Zbl 1453.82034Duminil-Copin, Hugo 4 2018 Critical point and duality in planar lattice models. Zbl 1391.82006Beffara, Vincent; Duminil-Copin, Hugo 3 2016 Limit of the Wulff crystal when approaching criticality for site percolation on the triangular lattic. Zbl 1307.82005Duminil-Copin, Hugo 3 2013 Order/disorder phase transitions: the example of the Potts model. Zbl 1372.82017Duminil-Copin, Hugo 3 2016 A note on Schramm’s locality conjecture for random-cluster models. Zbl 1446.82006Duminil-Copin, Hugo; Tassion, Vincent 3 2019 Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion. Zbl 1453.60154Duminil-Copin, Hugo; Ganguly, Shirshendu; Hammond, Alan; Manolescu, Ioan 3 2020 Dimerization and Néel order in different quantum spin chains through a shared loop representation. Zbl 1453.82003Aizenman, Michael; Duminil-Copin, Hugo; Warzel, Simone 3 2020 Logarithmic variance for the height function of square-ice. Zbl 07613401Duminil-Copin, Hugo; Harel, Matan; Laslier, Benoit; Raoufi, Aran; Ray, Gourab 3 2022 Sharp threshold phenomena in statistical physics. Zbl 1420.82003Duminil-Copin, Hugo 3 2019 On the double random current nesting field. Zbl 1428.82010Duminil-Copin, Hugo; Lis, Marcin 3 2019 Bridge decomposition of restriction measures. Zbl 1197.82055Alberts, Tom; Duminil-Copin, Hugo 2 2010 Internal diffusion-limited aggregation with uniform starting points. Zbl 1434.82062Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Lucas, Cyrille 2 2020 Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geq 3\). Zbl 1515.60153Duminil-Copin, Hugo; Rivera, Alejandro; Rodriguez, Pierre-François; Vanneuville, Hugo 2 2023 Planar random-cluster model: scaling relations. Zbl 1512.60065Duminil-Copin, Hugo; Manolescu, Ioan 2 2022 A quantitative Burton-Keane estimate under strong FKG condition. Zbl 1357.60109Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan 1 2016 Erratum to “Sharp metastability threshold for an anisotropic bootstrap percolation model”. Zbl 1356.60168Duminil-Copin, Hugo; van Enter, Aernout 1 2016 Equality of critical parameters for percolation of Gaussian free field level sets. Zbl 07684355Duminil-Copin, Hugo; Goswami, Subhajit; Rodriguez, Pierre-François; Severo, Franco 6 2023 Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geq 3\). Zbl 1515.60153Duminil-Copin, Hugo; Rivera, Alejandro; Rodriguez, Pierre-François; Vanneuville, Hugo 2 2023 Logarithmic variance for the height function of square-ice. Zbl 07613401Duminil-Copin, Hugo; Harel, Matan; Laslier, Benoit; Raoufi, Aran; Ray, Gourab 3 2022 Planar random-cluster model: scaling relations. Zbl 1512.60065Duminil-Copin, Hugo; Manolescu, Ioan 2 2022 Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models. Zbl 1489.60150Aizenman, Michael; Duminil-Copin, Hugo 16 2021 Macroscopic loops in the loop \(O(n)\) model at Nienhuis’ critical point. Zbl 1477.60137Duminil-Copin, Hugo; Glazman, Alexander; Peled, Ron; Spinka, Yinon 15 2021 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 \(q>4\).) Zbl 1506.60106Duminil-Copin, Hugo; Gagnebin, Maxime; Harel, Matan; Manolescu, Ioan; Tassion, Vincent 8 2021 Planar random-cluster model: fractal properties of the critical phase. Zbl 1475.60195Duminil-Copin, Hugo; Manolescu, Ioan; Tassion, Vincent 7 2021 Upper bounds on the percolation correlation length. Zbl 1469.60325Duminil-Copin, Hugo; Kozma, Gady; Tassion, Vincent 6 2021 Lectures on the Ising and Potts models on the hypercubic lattice. Zbl 1447.82007Duminil-Copin, Hugo 25 2020 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 \(d\).) Zbl 1454.82016Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 13 2020 Existence of phase transition for percolation using the Gaussian free field. Zbl 1470.60275Duminil-Copin, Hugo; Goswami, Subhajit; Raoufi, Aran; Severo, Franco; Yadin, Ariel 11 2020 Renormalization of crossing probabilities in the planar random-cluster model. Zbl 1482.82034Duminil-Copin, Hugo; Tassion, Vincent 6 2020 Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature. Zbl 1475.82003Duminil-Copin, Hugo; Goswami, Subhajit; Raoufi, Aran 5 2020 On the number of maximal paths in directed last-passage percolation. Zbl 1459.60195Duminil-Copin, Hugo; Kesten, Harry; Nazarov, Fedor; Peres, Yuval; Sidoravicius, Vladas 4 2020 Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion. Zbl 1453.60154Duminil-Copin, Hugo; Ganguly, Shirshendu; Hammond, Alan; Manolescu, Ioan 3 2020 Dimerization and Néel order in different quantum spin chains through a shared loop representation. Zbl 1453.82003Aizenman, Michael; Duminil-Copin, Hugo; Warzel, Simone 3 2020 Internal diffusion-limited aggregation with uniform starting points. Zbl 1434.82062Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Lucas, Cyrille 2 2020 Sharp phase transition for the random-cluster and Potts models via decision trees. Zbl 1482.82009Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 57 2019 Exponential decay of connection probabilities for subcritical Voronoi percolation in \(\mathbb{R}^d\). Zbl 1478.60259Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 17 2019 Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone 10 2019 A note on Schramm’s locality conjecture for random-cluster models. Zbl 1446.82006Duminil-Copin, Hugo; Tassion, Vincent 3 2019 Sharp threshold phenomena in statistical physics. Zbl 1420.82003Duminil-Copin, Hugo 3 2019 On the double random current nesting field. Zbl 1428.82010Duminil-Copin, Hugo; Lis, Marcin 3 2019 The Bethe ansatz for the six-vertex and XXZ models: an exposition. Zbl 1430.60080Duminil-Copin, Hugo; Gagnebin, Maxime; Harel, Matan; Manolescu, Ioan; Tassion, Vincent 25 2018 A new computation of the critical point for the planar random-cluster model with \(q\geq1\). Zbl 1395.82043Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 25 2018 Universality for the random-cluster model on isoradial graphs. Zbl 1414.60076Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan 14 2018 Higher order corrections for anisotropic bootstrap percolation. Zbl 1404.60149Duminil-Copin, Hugo; van Enter, Aernout C. D.; Hulshof, Tim 8 2018 Random currents expansion of the Ising model. Zbl 1403.82005Duminil-Copin, Hugo 6 2018 The box-crossing property for critical two-dimensional oriented percolation. Zbl 1428.60138Duminil-Copin, H.; Tassion, Vincent; Teixeira, Augusto 5 2018 Correction to: “A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model”. Zbl 1408.82001Duminil-Copin, Hugo; Tassion, Vincent 5 2018 Brochette percolation. Zbl 1430.60081Duminil-Copin, Hugo; Hilário, Marcelo R.; Kozma, Gady; Sidoravicius, Vladas 4 2018 Sixty years of percolation. Zbl 1453.82034Duminil-Copin, Hugo 4 2018 Continuity of the phase transition for planar random-cluster and Potts models with \({1 \leq q \leq 4}\). Zbl 1357.82011Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent 51 2017 The sharp threshold for the Duarte model. Zbl 1454.60141Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul 15 2017 Exponential decay of loop lengths in the loop \(\mathrm{O}(n)\) model with large \(n\). Zbl 1359.82007Duminil-Copin, Hugo; Peled, Ron; Samotij, Wojciech; Spinka, Yinon 15 2017 Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 5 2017 A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model. Zbl 1342.82026Duminil-Copin, Hugo; Tassion, Vincent 59 2016 Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément 24 2016 A new proof of the sharpness of the phase transition for Bernoulli percolation on \(\mathbb{Z}^d\). Zbl 1359.60118Duminil-Copin, Hugo; Tassion, Vincent 20 2016 The phase transitions of the planar random-cluster and Potts models with \(q \geq 1\) are sharp. Zbl 1356.60167Duminil-Copin, Hugo; Manolescu, Ioan 18 2016 Conformal invariance of crossing probabilities for the Ising model with free boundary conditions. Zbl 1355.60119Benoist, Stéphane; Duminil-Copin, Hugo; Hongler, Clément 11 2016 Absence of infinite cluster for critical Bernoulli percolation on slabs. Zbl 1342.82076Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent 9 2016 On the probability that self-avoiding walk ends at a given point. Zbl 1347.60131Duminil-Copin, Hugo; Glazman, Alexander; Hammond, Alan; Manolescu, Ioan 5 2016 A new proof of first order phase transition for the planar random-cluster and Potts models with \(q \gg 1\). Zbl 1377.60090Duminil-Copin, Hugo 4 2016 Critical point and duality in planar lattice models. Zbl 1391.82006Beffara, Vincent; Duminil-Copin, Hugo 3 2016 Order/disorder phase transitions: the example of the Potts model. Zbl 1372.82017Duminil-Copin, Hugo 3 2016 A quantitative Burton-Keane estimate under strong FKG condition. Zbl 1357.60109Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan 1 2016 Erratum to “Sharp metastability threshold for an anisotropic bootstrap percolation model”. Zbl 1356.60168Duminil-Copin, Hugo; van Enter, Aernout 1 2016 Random currents and continuity of Ising model’s spontaneous magnetization. Zbl 1315.82004Aizenman, Michael; Duminil-Copin, Hugo; Sidoravicius, Vladas 48 2015 Disorder, entropy and harmonic functions. Zbl 1337.60248Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 25 2015 Seven-dimensional forest fires. Zbl 1323.60123Ahlberg, Daniel; Duminil-Copin, Hugo; Kozma, Gady; Sidoravicius, Vladas 9 2015 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.) Zbl 1342.82018Beffara, V.; Duminil-Copin, H.; Smirnov, S. 9 2015 Convergence of Ising interfaces to Schramm’s SLE curves. (Convergence des interfaces d’Ising vers les courbes SLE introduites par Schramm.) Zbl 1294.82007Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément; Kemppainen, Antti; Smirnov, Stanislav 78 2014 The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is \(1+\sqrt{2}\). Zbl 1288.82006Beaton, Nicholas R.; Bousquet-Mélou, Mireille; de Gier, Jan; Duminil-Copin, Hugo; Guttmann, Anthony J. 15 2014 On the Gibbs states of the noncritical Potts model on \(\mathbb Z ^2\). Zbl 1288.82008Coquille, Loren; Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan 11 2014 The near-critical planar FK-Ising model. Zbl 1286.82003Duminil-Copin, Hugo; Garban, Christophe; Pete, Gábor 10 2014 Supercritical self-avoiding walks are space-filling. Zbl 1292.60096Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 10 2014 Sharp metastability threshold for an anisotropic bootstrap percolation model. Zbl 1356.60166Duminil-Copin, H.; van Enter, A. C. D. 21 2013 The critical temperature for the Ising model on planar doubly periodic graphs. Zbl 1281.82004Cimasoni, David; Duminil-Copin, Hugo 21 2013 Parafermionic observables and their applications to planar statistical physics models. Zbl 1298.82001Duminil-Copin, Hugo 20 2013 Self-avoiding walk is sub-ballistic. Zbl 1277.82027Duminil-Copin, Hugo; Hammond, Alan 15 2013 Planar percolation with a glimpse of Schramm-Loewner evolution. Zbl 1283.60118Beffara, Vincent; Duminil-Copin, Hugo 9 2013 Containing internal diffusion limited aggregation. Zbl 1300.60065Duminil-Copin, Hugo; Lucas, Cyrille; Yadin, Ariel; Yehudayoff, Amir 6 2013 Limit of the Wulff crystal when approaching criticality for site percolation on the triangular lattic. Zbl 1307.82005Duminil-Copin, Hugo 3 2013 The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert 83 2012 The self-dual point of the two-dimensional random-cluster model is critical for \(q \geqslant 1\). Zbl 1257.82014Beffara, Vincent; Duminil-Copin, Hugo 80 2012 The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\). Zbl 1253.82012Duminil-Copin, Hugo; Smirnov, Stanislav 58 2012 Lectures on self-avoiding walks. Zbl 1317.60125Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon 37 2012 Conformal invariance of lattice models. Zbl 1317.60002Duminil-Copin, Hugo; Smirnov, Stanislav 26 2012 Smirnov’s fermionic observable away from criticality. Zbl 1339.60136Beffara, V.; Duminil-Copin, H. 16 2012 Divergence of the correlation length for critical planar FK percolation with \(1\leq q\leq 4\) via parafermionic observables. Zbl 1257.82051Duminil-Copin, H. 6 2012 Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model. Zbl 1227.82015Duminil-Copin, Hugo; Hongler, Clément; Nolin, Pierre 38 2011 Bridge decomposition of restriction measures. Zbl 1197.82055Alberts, Tom; Duminil-Copin, Hugo 2 2010 all cited Publications top 5 cited Publications all top 5 Cited by 637 Authors 50 Duminil-Copin, Hugo 19 Tassion, Vincent 15 Hutchcroft, Tom 14 Grimmett, Geoffrey R. 14 Manolescu, Ioan 12 Morris, Robert D. 11 Bollobás, Béla 11 Camia, Federico 11 Hammond, Alan 11 Sidoravicius, Vladas 10 Li, Zhongyang 10 Lis, Marcin 10 Raoufi, Aran 10 Vigoda, Eric 9 Blanca, Antonio 9 Gravner, Janko 9 Newman, Charles Michael 9 Wu, Hao 8 Miller, Jason P. 8 Sampaio, Rudini Menezes 8 Spinka, Yinon 8 Vanneuville, Hugo 7 Chelkak, Dmitry 7 Glazman, Alexander 7 Guttmann, Anthony John 7 Hartarsky, Ivailo 7 Ott, Sébastien 7 Otto, Felix 7 Slade, Gordon 7 Štefankovič, Daniel 7 Taggi, Lorenzo 6 Aizenman, Michael 6 Beffara, Vincent 6 Holroyd, Alexander E. 6 Hongler, Clément 6 Peled, Ron 6 Smirnov, Stanislav Konstantinovich 6 Smith, Paul 6 van Enter, Aernout C. D. 6 Werner, Wendelin 5 Beaton, Nicholas R. 5 Galanis, Andreas 5 Ganguly, Shirshendu 5 Garban, Christophe 5 Gheissari, Reza 5 Izyurov, Konstantin 5 Jiang, Jianping 5 Koshida, Shinji 5 Marcilon, Thiago 5 Noel, Jonathan Andrew 5 Peltola, Eveliina 5 Ray, Gourab 5 Sakai, Akira 5 Toninelli, Cristina 5 Velenik, Yvan 5 Wilson, David Bruce 5 Yadin, Ariel 4 Ahlberg, Daniel 4 Bauerschmidt, Roland 4 Björnberg, Jakob Erik 4 Boutillier, Cédric 4 de Lima, Bernardo N. B. 4 de Tilière, Béatrice 4 Fischer, Julian 4 Flores, Steven M. 4 Giuliani, Alessandro 4 Goswami, Subhajit 4 Heydenreich, Markus 4 Hilário, Marcelo Richard 4 Kleban, Peter 4 Kytölä, Kalle 4 Muirhead, Stephen 4 Nitzschner, Maximilian 4 Przykucki, Michał 4 Raschel, Kilian 4 Rivera, Alejandro 4 Rodriguez, Pierre-François 4 Severo, Franco 4 Sheffield, Scott 4 Sinclair, Alistair 4 Sivakoff, David J. 4 Teixeira, Augusto Quadros 4 Uzzell, Andrew J. 4 Warzel, Simone 4 Watson, Samuel S. 3 Angel, Omer 3 Balister, Paul N. 3 Balogh, József 3 Beekenkamp, Thomas 3 Bella, Peter 3 Benevides, Fabricio Siqueira 3 Benjamini, Itai 3 Betz, Volker 3 Bousquet-Mélou, Mireille 3 Brydges, David C. 3 Caputo, Pietro 3 Fountoulakis, Nikolaos 3 Georgakopoulos, Agelos 3 Harel, Matan 3 Helmuth, Tyler ...and 537 more Authors all top 5 Cited in 99 Serials 72 Communications in Mathematical Physics 52 Probability Theory and Related Fields 50 Journal of Statistical Physics 39 The Annals of Probability 32 Electronic Journal of Probability 23 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 17 The Annals of Applied Probability 14 Journal of Mathematical Physics 11 Electronic Communications in Probability 11 Journal of Physics A: Mathematical and Theoretical 10 Stochastic Processes and their Applications 10 The Electronic Journal of Combinatorics 9 Combinatorics, Probability and Computing 9 Oberwolfach Reports 8 Discrete Mathematics 8 Inventiones Mathematicae 7 Transactions of the American Mathematical Society 7 ALEA. Latin American Journal of Probability and Mathematical Statistics 6 Journal of Combinatorial Theory. Series A 6 SIAM Journal on Discrete Mathematics 6 Annals of Mathematics. Second Series 6 Annales Henri Poincaré 5 Random Structures & Algorithms 5 Journal of High Energy Physics 5 Probability Surveys 5 Probability and Mathematical Physics 4 Discrete Applied Mathematics 4 Nuclear Physics. B 4 Proceedings of the London Mathematical Society. Third Series 4 Mathematical Physics, Analysis and Geometry 4 Annales Henri Lebesgue 3 Communications on Pure and Applied Mathematics 3 Theoretical Computer Science 3 European Journal of Combinatorics 3 Statistics & Probability Letters 3 SIAM Journal on Mathematical Analysis 3 Bernoulli 3 Journal of Statistical Mechanics: Theory and Experiment 3 Forum of Mathematics, Pi 3 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 2 Advances in Applied Probability 2 Information Processing Letters 2 Israel Journal of Mathematics 2 Letters in Mathematical Physics 2 Physics Reports 2 Reviews in Mathematical Physics 2 Duke Mathematical Journal 2 Ergodic Theory and Dynamical Systems 2 Combinatorica 2 Journal of the American Mathematical Society 2 Geometric and Functional Analysis. GAFA 2 Communications in Partial Differential Equations 2 Journal of the European Mathematical Society (JEMS) 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Archive for Rational Mechanics and Analysis 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Acta Arithmetica 1 Advances in Mathematics 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Dissertationes Mathematicae 1 Publications Mathématiques 1 Journal of the American Statistical Association 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Monatshefte für Mathematik 1 Advances in Applied Mathematics 1 Mathematical Social Sciences 1 Acta Applicandae Mathematicae 1 Sequential Analysis 1 Discrete & Computational Geometry 1 Journal of Theoretical Probability 1 Games and Economic Behavior 1 L’Enseignement Mathématique. 2e Série 1 Indagationes Mathematicae. New Series 1 The Australasian Journal of Combinatorics 1 Journal of Algebraic Combinatorics 1 Potential Analysis 1 The Journal of Fourier Analysis and Applications 1 Taiwanese Journal of Mathematics 1 Journal of Group Theory 1 Extremes 1 Probability in the Engineering and Informational Sciences 1 Brazilian Journal of Probability and Statistics 1 Moscow Mathematical Journal 1 Journal of Machine Learning Research (JMLR) 1 Milan Journal of Mathematics 1 Involve 1 Japanese Journal of Mathematics. 3rd Series 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 1 Analysis and Mathematical Physics 1 Stochastic and Partial Differential Equations. Analysis and Computations 1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 The Art of Discrete and Applied Mathematics 1 Combinatorial Theory all top 5 Cited in 48 Fields 417 Probability theory and stochastic processes (60-XX) 385 Statistical mechanics, structure of matter (82-XX) 134 Combinatorics (05-XX) 51 Quantum theory (81-XX) 35 Computer science (68-XX) 30 Partial differential equations (35-XX) 22 Dynamical systems and ergodic theory (37-XX) 12 Functions of a complex variable (30-XX) 10 General and overarching topics; collections (00-XX) 10 Group theory and generalizations (20-XX) 10 Measure and integration (28-XX) 8 Operations research, mathematical programming (90-XX) 7 Potential theory (31-XX) 7 Statistics (62-XX) 7 Biology and other natural sciences (92-XX) 5 Numerical analysis (65-XX) 4 Algebraic geometry (14-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Difference and functional equations (39-XX) 4 Geometry (51-XX) 4 Differential geometry (53-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Fluid mechanics (76-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 3 Nonassociative rings and algebras (17-XX) 3 Topological groups, Lie groups (22-XX) 3 Special functions (33-XX) 3 Operator theory (47-XX) 3 Relativity and gravitational theory (83-XX) 3 Information and communication theory, circuits (94-XX) 2 History and biography (01-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Abstract harmonic analysis (43-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 1 Commutative algebra (13-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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