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 Videos: carmin.tv Awards: EMS Prize (2016) · New Horizons in Mathematics Prize (2017) · Fields Medal (2022) Documents Indexed: 97 Publications since 2008, including 2 Books and 11 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Biographic References: 5 Publications Co-Authors: 70 Co-Authors with 86 Joint Publications 1,748 Co-Co-Authors all top 5 Co-Authors 13 single-authored 20 Tassion, Vincent 12 Manolescu, Ioan 7 Kozma, Gady 7 Raoufi, Aran 6 Aizenman, Michael 6 Goswami, Subhajit 6 Rodriguez, Pierre-François 6 Sidoravicius, Vladas 5 Beffara, Vincent 5 Severo, Franco 5 Yadin, Ariel 4 Garban, Christophe 4 Hongler, Clément 4 Smirnov, Stanislav Konstantinovich 4 Teixeira, Augusto Quadros 3 Benjamini, Itai 3 Bollobás, Béla 3 Hammond, Alan 3 Harel, Matan 3 Lis, Marcin 3 Morris, Robert D. 3 Panis, Romain 3 van Enter, Aernout C. D. 2 Chelkak, Dmitry 2 Gagnebin, Maxime 2 Glazman, Alexander 2 Ioffe, Dmitry 2 Kozlowski, Karol Kajetan 2 Krachun, Dmitry 2 Lucas, Cyrille 2 Oulamara, Mendes 2 Peled, Ron 2 Qian, Wei 2 Rivera, Alejandro 2 Smith, Paul 2 Spinka, Yinon 2 Vanneuville, Hugo 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 Goodman, Jesse 1 Grimmett, Geoffrey R. 1 Guttmann, Anthony John 1 Hartarsky, Ivailo 1 Hilário, Marcelo Richard 1 Hulshof, Tim 1 Karrila, Alex M. 1 Kemppainen, Antti 1 Kesten, Harry 1 Laslier, Benoît 1 Li, Jhih-Huang 1 Nazarov, Fedor L. 1 Nolin, Pierre 1 Peres, Yuval 1 Pete, Gábor 1 Ray, Gourab 1 Samotij, Wojciech 1 Slade, Gordon 1 Tikhonovskaia, Tatiana 1 Yehudayoff, Amir all top 5 Serials 12 Communications in Mathematical Physics 11 The Annals of Probability 10 Probability Theory and Related Fields 6 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 4 Annals of Mathematics. Second Series 3 Electronic Journal of Probability 2 Communications on Pure and Applied Mathematics 2 Duke Mathematical Journal 2 Gazette des Mathématiciens 2 Proceedings of the London Mathematical Society. Third Series 2 Electronic Communications in Probability 2 Journal of the European Mathematical Society (JEMS) 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 Inventiones Mathematicae 1 Transactions of the American Mathematical Society 1 L’Enseignement Mathématique. 2e Série 1 The New York Journal of Mathematics 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 1 Les Cours Peccot all top 5 Fields 78 Statistical mechanics, structure of matter (82-XX) 76 Probability theory and stochastic processes (60-XX) 6 Combinatorics (05-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 2 History and biography (01-XX) 2 Group theory and generalizations (20-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 79 Publications have been cited 1,639 times in 790 Documents Cited by ▼ Year ▼ The self-dual point of the two-dimensional random-cluster model is critical for \(q \geqslant 1\). Zbl 1257.82014 Beffara, Vincent; Duminil-Copin, Hugo 101 2012 The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108 Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert 97 2012 Convergence of Ising interfaces to Schramm’s SLE curves. (Convergence des interfaces d’Ising vers les courbes SLE introduites par Schramm.) Zbl 1294.82007 Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément; Kemppainen, Antti; Smirnov, Stanislav 88 2014 Sharp phase transition for the random-cluster and Potts models via decision trees. Zbl 1482.82009 Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 86 2019 A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model. Zbl 1342.82026 Duminil-Copin, Hugo; Tassion, Vincent 82 2016 The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\). Zbl 1253.82012 Duminil-Copin, Hugo; Smirnov, Stanislav 73 2012 Continuity of the phase transition for planar random-cluster and Potts models with \({1 \leq q \leq 4}\). Zbl 1357.82011 Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent 70 2017 Random currents and continuity of Ising model’s spontaneous magnetization. Zbl 1315.82004 Aizenman, Michael; Duminil-Copin, Hugo; Sidoravicius, Vladas 61 2015 Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model. Zbl 1227.82015 Duminil-Copin, Hugo; Hongler, Clément; Nolin, Pierre 48 2011 Lectures on the Ising and Potts models on the hypercubic lattice. Zbl 1447.82007 Duminil-Copin, Hugo 44 2020 Lectures on self-avoiding walks. Zbl 1317.60125 Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon 40 2012 Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models. Zbl 1489.60150 Aizenman, Michael; Duminil-Copin, Hugo 38 2021 Conformal invariance of lattice models. Zbl 1317.60002 Duminil-Copin, Hugo; Smirnov, Stanislav 32 2012 Disorder, entropy and harmonic functions. Zbl 1337.60248 Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 31 2015 The Bethe ansatz for the six-vertex and XXZ models: an exposition. Zbl 1430.60080 Duminil-Copin, Hugo; Gagnebin, Maxime; Harel, Matan; Manolescu, Ioan; Tassion, Vincent 27 2018 Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124 Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément 26 2016 The critical temperature for the Ising model on planar doubly periodic graphs. Zbl 1281.82004 Cimasoni, David; Duminil-Copin, Hugo 26 2013 A new computation of the critical point for the planar random-cluster model with \(q\geq1\). Zbl 1395.82043 Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 26 2018 Exponential decay of connection probabilities for subcritical Voronoi percolation in \(\mathbb{R}^d\). Zbl 1478.60259 Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 25 2019 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 1454.82016 Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 25 2020 Sharp metastability threshold for an anisotropic bootstrap percolation model. Zbl 1356.60166 Duminil-Copin, H.; van Enter, A. C. D. 24 2013 A new proof of the sharpness of the phase transition for Bernoulli percolation on \(\mathbb{Z}^d\). Zbl 1359.60118 Duminil-Copin, Hugo; Tassion, Vincent 23 2016 Macroscopic loops in the loop \(O(n)\) model at Nienhuis’ critical point. Zbl 1477.60137 Duminil-Copin, Hugo; Glazman, Alexander; Peled, Ron; Spinka, Yinon 23 2021 Equality of critical parameters for percolation of Gaussian free field level sets. Zbl 1536.60093 Duminil-Copin, Hugo; Goswami, Subhajit; Rodriguez, Pierre-François; Severo, Franco 21 2023 Parafermionic observables and their applications to planar statistical physics models. Zbl 1298.82001 Duminil-Copin, Hugo 21 2013 Existence of phase transition for percolation using the Gaussian free field. Zbl 1470.60275 Duminil-Copin, Hugo; Goswami, Subhajit; Raoufi, Aran; Severo, Franco; Yadin, Ariel 20 2020 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 1506.60106 Duminil-Copin, Hugo; Gagnebin, Maxime; Harel, Matan; Manolescu, Ioan; Tassion, Vincent 20 2021 Universality for the random-cluster model on isoradial graphs. Zbl 1414.60076 Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan 19 2018 Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature. Zbl 1475.82003 Duminil-Copin, Hugo; Goswami, Subhajit; Raoufi, Aran 19 2020 Self-avoiding walk is sub-ballistic. Zbl 1277.82027 Duminil-Copin, Hugo; Hammond, Alan 19 2013 The phase transitions of the planar random-cluster and Potts models with \(q \geq 1\) are sharp. Zbl 1356.60167 Duminil-Copin, Hugo; Manolescu, Ioan 18 2016 Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022 Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone 18 2019 The sharp threshold for the Duarte model. Zbl 1454.60141 Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul 17 2017 Smirnov’s fermionic observable away from criticality. Zbl 1339.60136 Beffara, V.; Duminil-Copin, H. 17 2012 Exponential decay of loop lengths in the loop \(\mathrm{O}(n)\) model with large \(n\). Zbl 1359.82007 Duminil-Copin, Hugo; Peled, Ron; Samotij, Wojciech; Spinka, Yinon 16 2017 The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is \(1+\sqrt{2}\). Zbl 1288.82006 Beaton, Nicholas R.; Bousquet-Mélou, Mireille; de Gier, Jan; Duminil-Copin, Hugo; Guttmann, Anthony J. 15 2014 Conformal invariance of crossing probabilities for the Ising model with free boundary conditions. Zbl 1355.60119 Benoist, Stéphane; Duminil-Copin, Hugo; Hongler, Clément 12 2016 On the Gibbs states of the noncritical Potts model on \(\mathbb Z ^2\). Zbl 1288.82008 Coquille, Loren; Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan 12 2014 Random currents expansion of the Ising model. Zbl 1403.82005 Duminil-Copin, Hugo 12 2018 The near-critical planar FK-Ising model. Zbl 1286.82003 Duminil-Copin, Hugo; Garban, Christophe; Pete, Gábor 12 2014 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 1342.82018 Beffara, V.; Duminil-Copin, H.; Smirnov, S. 11 2015 Supercritical self-avoiding walks are space-filling. Zbl 1292.60096 Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 11 2014 Absence of infinite cluster for critical Bernoulli percolation on slabs. Zbl 1342.82076 Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent 11 2016 Planar percolation with a glimpse of Schramm-Loewner evolution. Zbl 1283.60118 Beffara, Vincent; Duminil-Copin, Hugo 11 2013 Planar random-cluster model: fractal properties of the critical phase. Zbl 1475.60195 Duminil-Copin, Hugo; Manolescu, Ioan; Tassion, Vincent 11 2021 Renormalization of crossing probabilities in the planar random-cluster model. Zbl 1482.82034 Duminil-Copin, Hugo; Tassion, Vincent 11 2020 The box-crossing property for critical two-dimensional oriented percolation. Zbl 1428.60138 Duminil-Copin, H.; Tassion, Vincent; Teixeira, Augusto 10 2018 Seven-dimensional forest fires. Zbl 1323.60123 Ahlberg, Daniel; Duminil-Copin, Hugo; Kozma, Gady; Sidoravicius, Vladas 9 2015 Higher order corrections for anisotropic bootstrap percolation. Zbl 1404.60149 Duminil-Copin, Hugo; van Enter, Aernout C. D.; Hulshof, Tim 9 2018 Sixty years of percolation. Zbl 1453.82034 Duminil-Copin, Hugo 8 2018 Logarithmic variance for the height function of square-ice. Zbl 07613401 Duminil-Copin, Hugo; Harel, Matan; Laslier, Benoit; Raoufi, Aran; Ray, Gourab 8 2022 Correction to: “A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model”. Zbl 1408.82001 Duminil-Copin, Hugo; Tassion, Vincent 7 2018 Containing internal diffusion limited aggregation. Zbl 1300.60065 Duminil-Copin, Hugo; Lucas, Cyrille; Yadin, Ariel; Yehudayoff, Amir 7 2013 On the probability that self-avoiding walk ends at a given point. Zbl 1347.60131 Duminil-Copin, Hugo; Glazman, Alexander; Hammond, Alan; Manolescu, Ioan 7 2016 Divergence of the correlation length for critical planar FK percolation with \(1\leq q\leq 4\) via parafermionic observables. Zbl 1257.82051 Duminil-Copin, H. 7 2012 On the double random current nesting field. Zbl 1428.82010 Duminil-Copin, Hugo; Lis, Marcin 7 2019 Upper bounds on the percolation correlation length. Zbl 1469.60325 Duminil-Copin, Hugo; Kozma, Gady; Tassion, Vincent 7 2021 Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geq 3\). Zbl 1515.60153 Duminil-Copin, Hugo; Rivera, Alejandro; Rodriguez, Pierre-François; Vanneuville, Hugo 7 2023 Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146 Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 6 2017 Brochette percolation. Zbl 1430.60081 Duminil-Copin, Hugo; Hilário, Marcelo R.; Kozma, Gady; Sidoravicius, Vladas 6 2018 100 years of the (critical) Ising model on the hypercubic lattice. Zbl 1535.82013 Duminil-Copin, Hugo 5 2023 Limit of the Wulff crystal when approaching criticality for site percolation on the triangular lattic. Zbl 1307.82005 Duminil-Copin, Hugo 5 2013 Universality for two-dimensional critical cellular automata. Zbl 1538.60156 Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul 5 2023 Internal diffusion-limited aggregation with uniform starting points. Zbl 1434.82062 Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Lucas, Cyrille 5 2020 Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion. Zbl 1453.60154 Duminil-Copin, Hugo; Ganguly, Shirshendu; Hammond, Alan; Manolescu, Ioan 5 2020 Dimerization and Néel order in different quantum spin chains through a shared loop representation. Zbl 1453.82003 Aizenman, Michael; Duminil-Copin, Hugo; Warzel, Simone 5 2020 Order/disorder phase transitions: the example of the Potts model. Zbl 1372.82017 Duminil-Copin, Hugo 4 2016 A new proof of first order phase transition for the planar random-cluster and Potts models with \(q \gg 1\). Zbl 1377.60090 Duminil-Copin, Hugo 4 2016 On the six-vertex Model’s free energy. Zbl 07606703 Duminil-Copin, Hugo; Kozlowski, Karol Kajetan; Krachun, Dmitry; Manolescu, Ioan; Tikhonovskaia, Tatiana 4 2022 On the number of maximal paths in directed last-passage percolation. Zbl 1459.60195 Duminil-Copin, Hugo; Kesten, Harry; Nazarov, Fedor; Peres, Yuval; Sidoravicius, Vladas 4 2020 A note on Schramm’s locality conjecture for random-cluster models. Zbl 1446.82006 Duminil-Copin, Hugo; Tassion, Vincent 4 2019 Critical point and duality in planar lattice models. Zbl 1391.82006 Beffara, Vincent; Duminil-Copin, Hugo 3 2016 Sharp threshold phenomena in statistical physics. Zbl 1420.82003 Duminil-Copin, Hugo 3 2019 Bridge decomposition of restriction measures. Zbl 1197.82055 Alberts, Tom; Duminil-Copin, Hugo 2 2010 Planar random-cluster model: scaling relations. Zbl 1512.60065 Duminil-Copin, Hugo; Manolescu, Ioan 2 2022 Long-range order for critical Book-Ising and Book-percolation. Zbl 07786915 Duminil-Copin, Hugo; Garban, Christophe; Tassion, Vincent 1 2023 A quantitative Burton-Keane estimate under strong FKG condition. Zbl 1357.60109 Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan 1 2016 Erratum to “Sharp metastability threshold for an anisotropic bootstrap percolation model”. Zbl 1356.60168 Duminil-Copin, Hugo; van Enter, Aernout 1 2016 Long-range models in 1D revisited. Zbl 07831630 Duminil-Copin, Hugo; Garban, Christophe; Tassion, Vincent 1 2024 Long-range models in 1D revisited. Zbl 07831630 Duminil-Copin, Hugo; Garban, Christophe; Tassion, Vincent 1 2024 Equality of critical parameters for percolation of Gaussian free field level sets. Zbl 1536.60093 Duminil-Copin, Hugo; Goswami, Subhajit; Rodriguez, Pierre-François; Severo, Franco 21 2023 Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geq 3\). Zbl 1515.60153 Duminil-Copin, Hugo; Rivera, Alejandro; Rodriguez, Pierre-François; Vanneuville, Hugo 7 2023 100 years of the (critical) Ising model on the hypercubic lattice. Zbl 1535.82013 Duminil-Copin, Hugo 5 2023 Universality for two-dimensional critical cellular automata. Zbl 1538.60156 Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul 5 2023 Long-range order for critical Book-Ising and Book-percolation. Zbl 07786915 Duminil-Copin, Hugo; Garban, Christophe; Tassion, Vincent 1 2023 Logarithmic variance for the height function of square-ice. Zbl 07613401 Duminil-Copin, Hugo; Harel, Matan; Laslier, Benoit; Raoufi, Aran; Ray, Gourab 8 2022 On the six-vertex Model’s free energy. Zbl 07606703 Duminil-Copin, Hugo; Kozlowski, Karol Kajetan; Krachun, Dmitry; Manolescu, Ioan; Tikhonovskaia, Tatiana 4 2022 Planar random-cluster model: scaling relations. Zbl 1512.60065 Duminil-Copin, Hugo; Manolescu, Ioan 2 2022 Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models. Zbl 1489.60150 Aizenman, Michael; Duminil-Copin, Hugo 38 2021 Macroscopic loops in the loop \(O(n)\) model at Nienhuis’ critical point. Zbl 1477.60137 Duminil-Copin, Hugo; Glazman, Alexander; Peled, Ron; Spinka, Yinon 23 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 1506.60106 Duminil-Copin, Hugo; Gagnebin, Maxime; Harel, Matan; Manolescu, Ioan; Tassion, Vincent 20 2021 Planar random-cluster model: fractal properties of the critical phase. Zbl 1475.60195 Duminil-Copin, Hugo; Manolescu, Ioan; Tassion, Vincent 11 2021 Upper bounds on the percolation correlation length. Zbl 1469.60325 Duminil-Copin, Hugo; Kozma, Gady; Tassion, Vincent 7 2021 Lectures on the Ising and Potts models on the hypercubic lattice. Zbl 1447.82007 Duminil-Copin, Hugo 44 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 1454.82016 Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 25 2020 Existence of phase transition for percolation using the Gaussian free field. Zbl 1470.60275 Duminil-Copin, Hugo; Goswami, Subhajit; Raoufi, Aran; Severo, Franco; Yadin, Ariel 20 2020 Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature. Zbl 1475.82003 Duminil-Copin, Hugo; Goswami, Subhajit; Raoufi, Aran 19 2020 Renormalization of crossing probabilities in the planar random-cluster model. Zbl 1482.82034 Duminil-Copin, Hugo; Tassion, Vincent 11 2020 Internal diffusion-limited aggregation with uniform starting points. Zbl 1434.82062 Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Lucas, Cyrille 5 2020 Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion. Zbl 1453.60154 Duminil-Copin, Hugo; Ganguly, Shirshendu; Hammond, Alan; Manolescu, Ioan 5 2020 Dimerization and Néel order in different quantum spin chains through a shared loop representation. Zbl 1453.82003 Aizenman, Michael; Duminil-Copin, Hugo; Warzel, Simone 5 2020 On the number of maximal paths in directed last-passage percolation. Zbl 1459.60195 Duminil-Copin, Hugo; Kesten, Harry; Nazarov, Fedor; Peres, Yuval; Sidoravicius, Vladas 4 2020 Sharp phase transition for the random-cluster and Potts models via decision trees. Zbl 1482.82009 Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 86 2019 Exponential decay of connection probabilities for subcritical Voronoi percolation in \(\mathbb{R}^d\). Zbl 1478.60259 Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 25 2019 Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022 Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone 18 2019 On the double random current nesting field. Zbl 1428.82010 Duminil-Copin, Hugo; Lis, Marcin 7 2019 A note on Schramm’s locality conjecture for random-cluster models. Zbl 1446.82006 Duminil-Copin, Hugo; Tassion, Vincent 4 2019 Sharp threshold phenomena in statistical physics. Zbl 1420.82003 Duminil-Copin, Hugo 3 2019 The Bethe ansatz for the six-vertex and XXZ models: an exposition. Zbl 1430.60080 Duminil-Copin, Hugo; Gagnebin, Maxime; Harel, Matan; Manolescu, Ioan; Tassion, Vincent 27 2018 A new computation of the critical point for the planar random-cluster model with \(q\geq1\). Zbl 1395.82043 Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 26 2018 Universality for the random-cluster model on isoradial graphs. Zbl 1414.60076 Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan 19 2018 Random currents expansion of the Ising model. Zbl 1403.82005 Duminil-Copin, Hugo 12 2018 The box-crossing property for critical two-dimensional oriented percolation. Zbl 1428.60138 Duminil-Copin, H.; Tassion, Vincent; Teixeira, Augusto 10 2018 Higher order corrections for anisotropic bootstrap percolation. Zbl 1404.60149 Duminil-Copin, Hugo; van Enter, Aernout C. D.; Hulshof, Tim 9 2018 Sixty years of percolation. Zbl 1453.82034 Duminil-Copin, Hugo 8 2018 Correction to: “A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model”. Zbl 1408.82001 Duminil-Copin, Hugo; Tassion, Vincent 7 2018 Brochette percolation. Zbl 1430.60081 Duminil-Copin, Hugo; Hilário, Marcelo R.; Kozma, Gady; Sidoravicius, Vladas 6 2018 Continuity of the phase transition for planar random-cluster and Potts models with \({1 \leq q \leq 4}\). Zbl 1357.82011 Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent 70 2017 The sharp threshold for the Duarte model. Zbl 1454.60141 Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul 17 2017 Exponential decay of loop lengths in the loop \(\mathrm{O}(n)\) model with large \(n\). Zbl 1359.82007 Duminil-Copin, Hugo; Peled, Ron; Samotij, Wojciech; Spinka, Yinon 16 2017 Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146 Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 6 2017 A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model. Zbl 1342.82026 Duminil-Copin, Hugo; Tassion, Vincent 82 2016 Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124 Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément 26 2016 A new proof of the sharpness of the phase transition for Bernoulli percolation on \(\mathbb{Z}^d\). Zbl 1359.60118 Duminil-Copin, Hugo; Tassion, Vincent 23 2016 The phase transitions of the planar random-cluster and Potts models with \(q \geq 1\) are sharp. Zbl 1356.60167 Duminil-Copin, Hugo; Manolescu, Ioan 18 2016 Conformal invariance of crossing probabilities for the Ising model with free boundary conditions. Zbl 1355.60119 Benoist, Stéphane; Duminil-Copin, Hugo; Hongler, Clément 12 2016 Absence of infinite cluster for critical Bernoulli percolation on slabs. Zbl 1342.82076 Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent 11 2016 On the probability that self-avoiding walk ends at a given point. Zbl 1347.60131 Duminil-Copin, Hugo; Glazman, Alexander; Hammond, Alan; Manolescu, Ioan 7 2016 Order/disorder phase transitions: the example of the Potts model. Zbl 1372.82017 Duminil-Copin, Hugo 4 2016 A new proof of first order phase transition for the planar random-cluster and Potts models with \(q \gg 1\). Zbl 1377.60090 Duminil-Copin, Hugo 4 2016 Critical point and duality in planar lattice models. Zbl 1391.82006 Beffara, Vincent; Duminil-Copin, Hugo 3 2016 A quantitative Burton-Keane estimate under strong FKG condition. Zbl 1357.60109 Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan 1 2016 Erratum to “Sharp metastability threshold for an anisotropic bootstrap percolation model”. Zbl 1356.60168 Duminil-Copin, Hugo; van Enter, Aernout 1 2016 Random currents and continuity of Ising model’s spontaneous magnetization. Zbl 1315.82004 Aizenman, Michael; Duminil-Copin, Hugo; Sidoravicius, Vladas 61 2015 Disorder, entropy and harmonic functions. Zbl 1337.60248 Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 31 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 1342.82018 Beffara, V.; Duminil-Copin, H.; Smirnov, S. 11 2015 Seven-dimensional forest fires. Zbl 1323.60123 Ahlberg, Daniel; Duminil-Copin, Hugo; Kozma, Gady; Sidoravicius, Vladas 9 2015 Convergence of Ising interfaces to Schramm’s SLE curves. (Convergence des interfaces d’Ising vers les courbes SLE introduites par Schramm.) Zbl 1294.82007 Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément; Kemppainen, Antti; Smirnov, Stanislav 88 2014 The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is \(1+\sqrt{2}\). Zbl 1288.82006 Beaton, 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 1288.82008 Coquille, Loren; Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan 12 2014 The near-critical planar FK-Ising model. Zbl 1286.82003 Duminil-Copin, Hugo; Garban, Christophe; Pete, Gábor 12 2014 Supercritical self-avoiding walks are space-filling. Zbl 1292.60096 Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 11 2014 The critical temperature for the Ising model on planar doubly periodic graphs. Zbl 1281.82004 Cimasoni, David; Duminil-Copin, Hugo 26 2013 Sharp metastability threshold for an anisotropic bootstrap percolation model. Zbl 1356.60166 Duminil-Copin, H.; van Enter, A. C. D. 24 2013 Parafermionic observables and their applications to planar statistical physics models. Zbl 1298.82001 Duminil-Copin, Hugo 21 2013 Self-avoiding walk is sub-ballistic. Zbl 1277.82027 Duminil-Copin, Hugo; Hammond, Alan 19 2013 Planar percolation with a glimpse of Schramm-Loewner evolution. Zbl 1283.60118 Beffara, Vincent; Duminil-Copin, Hugo 11 2013 Containing internal diffusion limited aggregation. Zbl 1300.60065 Duminil-Copin, Hugo; Lucas, Cyrille; Yadin, Ariel; Yehudayoff, Amir 7 2013 Limit of the Wulff crystal when approaching criticality for site percolation on the triangular lattic. Zbl 1307.82005 Duminil-Copin, Hugo 5 2013 The self-dual point of the two-dimensional random-cluster model is critical for \(q \geqslant 1\). Zbl 1257.82014 Beffara, Vincent; Duminil-Copin, Hugo 101 2012 The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108 Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert 97 2012 The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\). Zbl 1253.82012 Duminil-Copin, Hugo; Smirnov, Stanislav 73 2012 Lectures on self-avoiding walks. Zbl 1317.60125 Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon 40 2012 Conformal invariance of lattice models. Zbl 1317.60002 Duminil-Copin, Hugo; Smirnov, Stanislav 32 2012 Smirnov’s fermionic observable away from criticality. Zbl 1339.60136 Beffara, V.; Duminil-Copin, H. 17 2012 Divergence of the correlation length for critical planar FK percolation with \(1\leq q\leq 4\) via parafermionic observables. Zbl 1257.82051 Duminil-Copin, H. 7 2012 Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model. Zbl 1227.82015 Duminil-Copin, Hugo; Hongler, Clément; Nolin, Pierre 48 2011 Bridge decomposition of restriction measures. Zbl 1197.82055 Alberts, Tom; Duminil-Copin, Hugo 2 2010 all cited Publications top 5 cited Publications all top 5 Cited by 830 Authors 59 Duminil-Copin, Hugo 23 Tassion, Vincent 21 Hutchcroft, Tom 16 Grimmett, Geoffrey R. 15 Manolescu, Ioan 14 Bollobás, Béla 14 Morris, Robert D. 13 Vigoda, Eric 12 Blanca, Antonio 12 Camia, Federico 12 Lis, Marcin 12 Sidoravicius, Vladas 11 Hammond, Alan 11 Hartarsky, Ivailo 11 Li, Zhongyang 11 Newman, Charles Michael 11 Ott, Sébastien 10 Gheissari, Reza 10 Raoufi, Aran 10 Spinka, Yinon 10 Vanneuville, Hugo 10 Wu, Hao 9 Chelkak, Dmitry 9 Garban, Christophe 9 Gravner, Janko 9 Guttmann, Anthony John 9 Severo, Franco 9 Sinclair, Alistair 9 Slade, Gordon 8 Glazman, Alexander 8 Miller, Jason P. 8 Muirhead, Stephen 8 Ray, Gourab 8 Sampaio, Rudini Menezes 8 Smith, Paul 8 Štefankovič, Daniel 8 Taggi, Lorenzo 8 Velenik, Yvan 7 Aizenman, Michael 7 Aoun, Yacine 7 Helmuth, Tyler 7 Hongler, Clément 7 Izyurov, Konstantin 7 Jiang, Jianping 7 Otto, Felix 7 Rodriguez, Pierre-François 6 Bauerschmidt, Roland 6 Beaton, Nicholas R. 6 Beffara, Vincent 6 de Lima, Bernardo N. B. 6 Ganguly, Shirshendu 6 Goswami, Subhajit 6 Holroyd, Alexander E. 6 Koshida, Shinji 6 Panagiotis, Christoforos 6 Peled, Ron 6 Peltola, Eveliina 6 Rivera, Alejandro 6 Smirnov, Stanislav Konstantinovich 6 Teixeira, Augusto Quadros 6 Toninelli, Cristina 6 van Enter, Aernout C. D. 6 Werner, Wendelin 5 Balister, Paul N. 5 Björnberg, Jakob Erik 5 Boutillier, Cédric 5 Caputo, Pietro 5 de Tilière, Béatrice 5 Fountoulakis, Nikolaos 5 Galanis, Andreas 5 Lubetzky, Eyal 5 Marcilon, Thiago 5 Noel, Jonathan Andrew 5 Przykucki, Michał 5 Sakai, Akira 5 Sheffield, Scott 5 Sznitman, Alain-Sol 5 Toninelli, Fabio Lucio 5 Uzzell, Andrew J. 5 Watson, Samuel S. 5 Wilson, David Bruce 5 Yadin, Ariel 4 Ahlberg, Daniel 4 Angel, Omer 4 Bella, Peter 4 Berestycki, Nathanaël 4 Brydges, David C. 4 Cimasoni, David 4 Ding, Jian 4 Fischer, Julian 4 Flores, Steven M. 4 Giuliani, Alessandro 4 Heydenreich, Markus 4 Hilário, Marcelo Richard 4 Jahnel, Benedikt 4 Kemppainen, Antti 4 Kleban, Peter 4 Kolesnik, Brett 4 Kozma, Gady 4 Kytölä, Kalle ...and 730 more Authors all top 5 Cited in 119 Serials 89 Communications in Mathematical Physics 63 Probability Theory and Related Fields 54 Journal of Statistical Physics 48 The Annals of Probability 42 Electronic Journal of Probability 28 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 26 The Annals of Applied Probability 25 Random Structures & Algorithms 17 Journal of Mathematical Physics 16 Journal of Physics A: Mathematical and Theoretical 15 Electronic Communications in Probability 14 Stochastic Processes and their Applications 13 Communications on Pure and Applied Mathematics 11 The Electronic Journal of Combinatorics 11 Oberwolfach Reports 10 Inventiones Mathematicae 10 Combinatorics, Probability and Computing 8 Discrete Mathematics 8 Transactions of the American Mathematical Society 8 Journal of High Energy Physics 8 Annales Henri Poincaré 8 Journal of Statistical Mechanics: Theory and Experiment 8 ALEA. Latin American Journal of Probability and Mathematical Statistics 7 Duke Mathematical Journal 7 Annals of Mathematics. Second Series 7 Probability and Mathematical Physics 6 Journal of Combinatorial Theory. Series A 6 SIAM Journal on Discrete Mathematics 6 Bernoulli 6 Probability Surveys 5 Proceedings of the London Mathematical Society. Third Series 5 Mathematical Physics, Analysis and Geometry 5 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions 4 Advances in Applied Probability 4 Discrete Applied Mathematics 4 Nuclear Physics. B 4 Physics Reports 4 Statistics & Probability Letters 4 Journal of the European Mathematical Society (JEMS) 4 Annales Henri Lebesgue 3 Reviews in Mathematical Physics 3 Journal of Functional Analysis 3 Journal of Graph Theory 3 Theoretical Computer Science 3 European Journal of Combinatorics 3 Ergodic Theory and Dynamical Systems 3 Journal of Theoretical Probability 3 Geometric and Functional Analysis. GAFA 3 SIAM Journal on Mathematical Analysis 3 Forum of Mathematics, Pi 2 Information Processing Letters 2 Israel Journal of Mathematics 2 Letters in Mathematical Physics 2 Physica A 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Memoirs of the American Mathematical Society 2 Advances in Applied Mathematics 2 Combinatorica 2 Journal of the American Mathematical Society 2 Communications in Partial Differential Equations 2 L’Enseignement Mathématique. 2e Série 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Stochastic and Partial Differential Equations. Analysis and Computations 1 International Journal of Modern Physics A 1 Archive for Rational Mechanics and Analysis 1 International Journal of Theoretical Physics 1 Physics Letters. B 1 Rocky Mountain Journal of Mathematics 1 Chaos, Solitons and Fractals 1 Acta Arithmetica 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Bulletin de la Société Mathématique de France 1 Dissertationes Mathematicae 1 Information Sciences 1 Publications Mathématiques 1 Journal of the American Statistical Association 1 Journal of Applied Probability 1 Journal of the Mathematical Society of Japan 1 Mathematische Zeitschrift 1 Monatshefte für Mathematik 1 Osaka Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Mathematical Social Sciences 1 Acta Applicandae Mathematicae 1 Sequential Analysis 1 Discrete & Computational Geometry 1 Games and Economic Behavior 1 Aequationes Mathematicae 1 Bulletin of the American Mathematical Society. New Series 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 Vietnam Journal of Mathematics 1 Taiwanese Journal of Mathematics 1 Journal of the ACM 1 Journal of Group Theory ...and 19 more Serials all top 5 Cited in 52 Fields 547 Probability theory and stochastic processes (60-XX) 510 Statistical mechanics, structure of matter (82-XX) 184 Combinatorics (05-XX) 80 Quantum theory (81-XX) 51 Computer science (68-XX) 40 Partial differential equations (35-XX) 30 Dynamical systems and ergodic theory (37-XX) 16 Functions of a complex variable (30-XX) 14 General and overarching topics; collections (00-XX) 13 Group theory and generalizations (20-XX) 12 Measure and integration (28-XX) 11 Statistics (62-XX) 11 Biology and other natural sciences (92-XX) 8 Operations research, mathematical programming (90-XX) 7 Potential theory (31-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Difference and functional equations (39-XX) 6 Numerical analysis (65-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 Algebraic geometry (14-XX) 5 Associative rings and algebras (16-XX) 5 Special functions (33-XX) 5 Operator theory (47-XX) 5 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Fluid mechanics (76-XX) 4 History and biography (01-XX) 4 Number theory (11-XX) 4 Nonassociative rings and algebras (17-XX) 4 Topological groups, Lie groups (22-XX) 4 Geometry (51-XX) 4 Relativity and gravitational theory (83-XX) 4 Information and communication theory, circuits (94-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Convex and discrete geometry (52-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral equations (45-XX) 2 Manifolds and cell complexes (57-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Algebraic topology (55-XX) 1 Mechanics of particles and systems (70-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. Updates and corrections should be made in Wikidata.