Edit Profile (opens in new tab) Duminil-Copin, Hugo Compute Distance To: Compute 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 · GND · IdRef · theses.fr Awards: EMS Prize (2016) · New Horizons in Mathematics Prize (2017) · Fields Medal (2022) Documents Indexed: 71 Publications since 2010, including 1 Book 1 Contribution as Editor Co-Authors: 57 Co-Authors with 62 Joint Publications 1,323 Co-Co-Authors all top 5 Co-Authors 10 single-authored 17 Tassion, Vincent 7 Kozma, Gady 7 Manolescu, Ioan 6 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 Hammond, Alan 3 van Enter, Aernout C. D. 2 Bollobás, Béla 2 Chelkak, Dmitry 2 Gagnebin, Maxime 2 Glazman, Alexander 2 Goswami, Subhajit 2 Harel, Matan 2 Ioffe, Dmitry 2 Lucas, Cyrille 2 Morris, Robert D. 2 Peled, Ron 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 Li, Jhih-Huang 1 Lis, Marcin 1 Nazarov, Fedor L. 1 Nolin, Pierre 1 Peres, Yuval 1 Pete, Gábor 1 Samotij, Wojciech 1 Severo, Franco 1 Slade, Gordon 1 Smith, Paul 1 Teixeira, Augusto Quadros 1 Yehudayoff, Amir all top 5 Serials 9 Communications in Mathematical Physics 9 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 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 Duke Mathematical Journal 1 Gazette des Mathématiciens 1 Inventiones Mathematicae 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 Annales Henri Lebesgue all top 5 Fields 62 Statistical mechanics, structure of matter (82-XX) 55 Probability theory and stochastic processes (60-XX) 3 Functions of a complex variable (30-XX) 2 General and overarching topics; collections (00-XX) 2 Combinatorics (05-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 68 Publications have been cited 957 times in 475 Documents Cited by ▼ Year ▼ The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert 69 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 67 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 65 2014 The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\). Zbl 1253.82012Duminil-Copin, Hugo; Smirnov, Stanislav 52 2012 A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model. Zbl 1342.82026Duminil-Copin, Hugo; Tassion, Vincent 47 2016 Sharp phase transition for the random-cluster and Potts models via decision trees. Zbl 1482.82009Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 43 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 40 2017 Random currents and continuity of Ising model’s spontaneous magnetization. Zbl 1315.82004Aizenman, Michael; Duminil-Copin, Hugo; Sidoravicius, Vladas 40 2015 Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model. Zbl 1227.82015Duminil-Copin, Hugo; Hongler, Clément; Nolin, Pierre 36 2011 Lectures on self-avoiding walks. Zbl 1317.60125Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon 32 2012 Conformal invariance of lattice models. Zbl 1317.60002Duminil-Copin, Hugo; Smirnov, Stanislav 24 2012 Disorder, entropy and harmonic functions. Zbl 1337.60248Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 23 2015 Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément 21 2016 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 19 2018 The critical temperature for the Ising model on planar doubly periodic graphs. Zbl 1281.82004Cimasoni, David; Duminil-Copin, Hugo 18 2013 Parafermionic observables and their applications to planar statistical physics models. Zbl 1298.82001Duminil-Copin, Hugo 18 2013 Sharp metastability threshold for an anisotropic bootstrap percolation model. Zbl 1356.60166Duminil-Copin, H.; van Enter, A. C. D. 18 2013 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 18 2018 A new proof of the sharpness of the phase transition for Bernoulli percolation on \(\mathbb{Z}^d\). Zbl 1359.60118Duminil-Copin, Hugo; Tassion, Vincent 17 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 16 2016 Smirnov’s fermionic observable away from criticality. Zbl 1339.60136Beffara, V.; Duminil-Copin, H. 14 2012 Self-avoiding walk is sub-ballistic. Zbl 1277.82027Duminil-Copin, Hugo; Hammond, Alan 13 2013 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. 12 2014 Lectures on the Ising and Potts models on the hypercubic lattice. Zbl 1447.82007Duminil-Copin, Hugo 12 2020 Exponential decay of connection probabilities for subcritical Voronoi percolation in \(\mathbb{R}^d\). Zbl 1478.60259Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 12 2019 The sharp threshold for the Duarte model. Zbl 1454.60141Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul 11 2017 Universality for the random-cluster model on isoradial graphs. Zbl 1414.60076Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan 11 2018 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 11 2017 On the Gibbs states of the noncritical Potts model on \(\mathbb Z ^2\). Zbl 1288.82008Coquille, Loren; Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan 10 2014 Conformal invariance of crossing probabilities for the Ising model with free boundary conditions. Zbl 1355.60119Benoist, Stéphane; Duminil-Copin, Hugo; Hongler, Clément 10 2016 Seven-dimensional forest fires. Zbl 1323.60123Ahlberg, Daniel; Duminil-Copin, Hugo; Kozma, Gady; Sidoravicius, Vladas 9 2015 Planar percolation with a glimpse of Schramm-Loewner evolution. Zbl 1283.60118Beffara, Vincent; Duminil-Copin, Hugo 8 2013 Absence of infinite cluster for critical Bernoulli percolation on slabs. Zbl 1342.82076Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent 8 2016 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 8 2020 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. 7 2015 Supercritical self-avoiding walks are space-filling. Zbl 1292.60096Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 7 2014 Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone 7 2019 Higher order corrections for anisotropic bootstrap percolation. Zbl 1404.60149Duminil-Copin, Hugo; van Enter, Aernout C. D.; Hulshof, Tim 7 2018 Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models. Zbl 07375202Aizenman, Michael; Duminil-Copin, Hugo 7 2021 The near-critical planar FK-Ising model. Zbl 1286.82003Duminil-Copin, Hugo; Garban, Christophe; Pete, Gábor 6 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 6 2020 Macroscopic loops in the loop \(O(n)\) model at Nienhuis’ critical point. Zbl 1477.60137Duminil-Copin, Hugo; Glazman, Alexander; Peled, Ron; Spinka, Yinon 6 2021 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 The box-crossing property for critical two-dimensional oriented percolation. Zbl 1428.60138Duminil-Copin, H.; Tassion, Vincent; Teixeira, Augusto 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 Random currents expansion of the Ising model. Zbl 1403.82005Duminil-Copin, Hugo 5 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. 5 2012 Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 5 2017 Containing internal diffusion limited aggregation. Zbl 1300.60065Duminil-Copin, Hugo; Lucas, Cyrille; Yadin, Ariel; Yehudayoff, Amir 4 2013 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 4 2018 Order/disorder phase transitions: the example of the Potts model. Zbl 1372.82017Duminil-Copin, Hugo 3 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 3 2016 Upper bounds on the percolation correlation length. Zbl 1469.60325Duminil-Copin, Hugo; Kozma, Gady; Tassion, Vincent 3 2021 Renormalization of crossing probabilities in the planar random-cluster model. Zbl 1482.82034Duminil-Copin, Hugo; Tassion, Vincent 3 2020 Bridge decomposition of restriction measures. Zbl 1197.82055Alberts, Tom; Duminil-Copin, Hugo 2 2010 A note on Schramm’s locality conjecture for random-cluster models. Zbl 1446.82006Duminil-Copin, Hugo; Tassion, Vincent 2 2019 Sixty years of percolation. Zbl 1453.82034Duminil-Copin, Hugo 2 2018 On the double random current nesting field. Zbl 1428.82010Duminil-Copin, Hugo; Lis, Marcin 2 2019 Sharp threshold phenomena in statistical physics. Zbl 1420.82003Duminil-Copin, Hugo 2 2019 On the number of maximal paths in directed last-passage percolation. Zbl 1459.60195Duminil-Copin, Hugo; Kesten, Harry; Nazarov, Fedor; Peres, Yuval; Sidoravicius, Vladas 2 2020 Critical point and duality in planar lattice models. Zbl 1391.82006Beffara, Vincent; Duminil-Copin, Hugo 2 2016 Planar random-cluster model: fractal properties of the critical phase. Zbl 1475.60195Duminil-Copin, Hugo; Manolescu, Ioan; Tassion, Vincent 2 2021 Limit of the Wulff crystal when approaching criticality for site percolation on the triangular lattic. Zbl 1307.82005Duminil-Copin, Hugo 1 2013 Erratum to “Sharp metastability threshold for an anisotropic bootstrap percolation model”. Zbl 1356.60168Duminil-Copin, Hugo; van Enter, Aernout 1 2016 Internal diffusion-limited aggregation with uniform starting points. Zbl 1434.82062Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Lucas, Cyrille 1 2020 Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion. Zbl 1453.60154Duminil-Copin, Hugo; Ganguly, Shirshendu; Hammond, Alan; Manolescu, Ioan 1 2020 Dimerization and Néel order in different quantum spin chains through a shared loop representation. Zbl 1453.82003Aizenman, Michael; Duminil-Copin, Hugo; Warzel, Simone 1 2020 Brochette percolation. Zbl 1430.60081Duminil-Copin, Hugo; Hilário, Marcelo R.; Kozma, Gady; Sidoravicius, Vladas 1 2018 Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models. Zbl 07375202Aizenman, Michael; Duminil-Copin, Hugo 7 2021 Macroscopic loops in the loop \(O(n)\) model at Nienhuis’ critical point. Zbl 1477.60137Duminil-Copin, Hugo; Glazman, Alexander; Peled, Ron; Spinka, Yinon 6 2021 Upper bounds on the percolation correlation length. Zbl 1469.60325Duminil-Copin, Hugo; Kozma, Gady; Tassion, Vincent 3 2021 Planar random-cluster model: fractal properties of the critical phase. Zbl 1475.60195Duminil-Copin, Hugo; Manolescu, Ioan; Tassion, Vincent 2 2021 Lectures on the Ising and Potts models on the hypercubic lattice. Zbl 1447.82007Duminil-Copin, Hugo 12 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 8 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 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 Renormalization of crossing probabilities in the planar random-cluster model. Zbl 1482.82034Duminil-Copin, Hugo; Tassion, Vincent 3 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 2 2020 Internal diffusion-limited aggregation with uniform starting points. Zbl 1434.82062Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Lucas, Cyrille 1 2020 Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion. Zbl 1453.60154Duminil-Copin, Hugo; Ganguly, Shirshendu; Hammond, Alan; Manolescu, Ioan 1 2020 Dimerization and Néel order in different quantum spin chains through a shared loop representation. Zbl 1453.82003Aizenman, Michael; Duminil-Copin, Hugo; Warzel, Simone 1 2020 Sharp phase transition for the random-cluster and Potts models via decision trees. Zbl 1482.82009Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 43 2019 Exponential decay of connection probabilities for subcritical Voronoi percolation in \(\mathbb{R}^d\). Zbl 1478.60259Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent 12 2019 Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone 7 2019 A note on Schramm’s locality conjecture for random-cluster models. Zbl 1446.82006Duminil-Copin, Hugo; Tassion, Vincent 2 2019 On the double random current nesting field. Zbl 1428.82010Duminil-Copin, Hugo; Lis, Marcin 2 2019 Sharp threshold phenomena in statistical physics. Zbl 1420.82003Duminil-Copin, Hugo 2 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 19 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 18 2018 Universality for the random-cluster model on isoradial graphs. Zbl 1414.60076Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan 11 2018 Higher order corrections for anisotropic bootstrap percolation. Zbl 1404.60149Duminil-Copin, Hugo; van Enter, Aernout C. D.; Hulshof, Tim 7 2018 The box-crossing property for critical two-dimensional oriented percolation. Zbl 1428.60138Duminil-Copin, H.; Tassion, Vincent; Teixeira, Augusto 5 2018 Random currents expansion of the Ising model. Zbl 1403.82005Duminil-Copin, Hugo 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 4 2018 Sixty years of percolation. Zbl 1453.82034Duminil-Copin, Hugo 2 2018 Brochette percolation. Zbl 1430.60081Duminil-Copin, Hugo; Hilário, Marcelo R.; Kozma, Gady; Sidoravicius, Vladas 1 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 40 2017 The sharp threshold for the Duarte model. Zbl 1454.60141Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul 11 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 11 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 47 2016 Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément 21 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 17 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 16 2016 Conformal invariance of crossing probabilities for the Ising model with free boundary conditions. Zbl 1355.60119Benoist, Stéphane; Duminil-Copin, Hugo; Hongler, Clément 10 2016 Absence of infinite cluster for critical Bernoulli percolation on slabs. Zbl 1342.82076Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent 8 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 Order/disorder phase transitions: the example of the Potts model. Zbl 1372.82017Duminil-Copin, Hugo 3 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 3 2016 Critical point and duality in planar lattice models. Zbl 1391.82006Beffara, Vincent; Duminil-Copin, Hugo 2 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 40 2015 Disorder, entropy and harmonic functions. Zbl 1337.60248Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 23 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. 7 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 65 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. 12 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 10 2014 Supercritical self-avoiding walks are space-filling. Zbl 1292.60096Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel 7 2014 The near-critical planar FK-Ising model. Zbl 1286.82003Duminil-Copin, Hugo; Garban, Christophe; Pete, Gábor 6 2014 The critical temperature for the Ising model on planar doubly periodic graphs. Zbl 1281.82004Cimasoni, David; Duminil-Copin, Hugo 18 2013 Parafermionic observables and their applications to planar statistical physics models. Zbl 1298.82001Duminil-Copin, Hugo 18 2013 Sharp metastability threshold for an anisotropic bootstrap percolation model. Zbl 1356.60166Duminil-Copin, H.; van Enter, A. C. D. 18 2013 Self-avoiding walk is sub-ballistic. Zbl 1277.82027Duminil-Copin, Hugo; Hammond, Alan 13 2013 Planar percolation with a glimpse of Schramm-Loewner evolution. Zbl 1283.60118Beffara, Vincent; Duminil-Copin, Hugo 8 2013 Containing internal diffusion limited aggregation. Zbl 1300.60065Duminil-Copin, Hugo; Lucas, Cyrille; Yadin, Ariel; Yehudayoff, Amir 4 2013 Limit of the Wulff crystal when approaching criticality for site percolation on the triangular lattic. Zbl 1307.82005Duminil-Copin, Hugo 1 2013 The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert 69 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 67 2012 The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\). Zbl 1253.82012Duminil-Copin, Hugo; Smirnov, Stanislav 52 2012 Lectures on self-avoiding walks. Zbl 1317.60125Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon 32 2012 Conformal invariance of lattice models. Zbl 1317.60002Duminil-Copin, Hugo; Smirnov, Stanislav 24 2012 Smirnov’s fermionic observable away from criticality. Zbl 1339.60136Beffara, V.; Duminil-Copin, H. 14 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. 5 2012 Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model. Zbl 1227.82015Duminil-Copin, Hugo; Hongler, Clément; Nolin, Pierre 36 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 500 Authors 45 Duminil-Copin, Hugo 17 Tassion, Vincent 14 Grimmett, Geoffrey R. 11 Hammond, Alan 11 Hutchcroft, Tom 11 Manolescu, Ioan 10 Bollobás, Béla 10 Camia, Federico 10 Li, Zhongyang 10 Lis, Marcin 10 Morris, Robert D. 9 Raoufi, Aran 8 Gravner, Janko 8 Miller, Jason P. 8 Newman, Charles Michael 8 Sidoravicius, Vladas 8 Vigoda, Eric 7 Blanca, Antonio 7 Chelkak, Dmitry 7 Otto, Felix 7 Spinka, Yinon 6 Aizenman, Michael 6 Beffara, Vincent 6 Guttmann, Anthony John 6 Hartarsky, Ivailo 6 Holroyd, Alexander E. 6 Hongler, Clément 6 Sampaio, Rudini Menezes 6 Smirnov, Stanislav Konstantinovich 6 Štefankovič, Daniel 6 van Enter, Aernout C. D. 6 Vanneuville, Hugo 6 Werner, Wendelin 5 Garban, Christophe 5 Glazman, Alexander 5 Izyurov, Konstantin 5 Ott, Sébastien 5 Sakai, Akira 5 Slade, Gordon 5 Smith, Paul 5 Taggi, Lorenzo 5 Toninelli, Cristina 5 Wilson, David Bruce 5 Yadin, Ariel 4 Boutillier, Cédric 4 de Tilière, Béatrice 4 Fischer, Julian 4 Flores, Steven M. 4 Galanis, Andreas 4 Ganguly, Shirshendu 4 Heydenreich, Markus 4 Jiang, Jianping 4 Kleban, Peter 4 Koshida, Shinji 4 Marcilon, Thiago 4 Nitzschner, Maximilian 4 Peled, Ron 4 Peltola, Eveliina 4 Przykucki, Michał 4 Sheffield, Scott 4 Sivakoff, David 4 Uzzell, Andrew J. 4 Velenik, Yvan 4 Warzel, Simone 4 Watson, Samuel S. 3 Ahlberg, Daniel 3 Angel, Omer 3 Balister, Paul N. 3 Balogh, József 3 Bauerschmidt, Roland 3 Beekenkamp, Thomas 3 Bella, Peter 3 Benevides, Fabricio Siqueira 3 Benjamini, Itai 3 Betz, Volker 3 Björnberg, Jakob Erik 3 Bousquet-Mélou, Mireille 3 Fountoulakis, Nikolaos 3 Gheissari, Reza 3 Giuliani, Alessandro 3 Goswami, Subhajit 3 Hilário, Marcelo Richard 3 Hulshof, Tim 3 Ioffe, Dmitry 3 Janson, Svante 3 Kemppainen, Antti 3 Kiss, Demeter 3 Kozma, Gady 3 Kytölä, Kalle 3 Lawler, Gregory Francis 3 Lubetzky, Eyal 3 Martinelli, Fabio 3 Morrison, Natasha 3 N. Zehmakan, Ahad 3 Noel, Jonathan Andrew 3 Pete, Gábor 3 Raschel, Kilian 3 Ray, Gourab 3 Rivera, Alejandro 3 Sinclair, Alistair ...and 400 more Authors all top 5 Cited in 82 Serials 60 Communications in Mathematical Physics 50 Probability Theory and Related Fields 47 Journal of Statistical Physics 37 The Annals of Probability 23 Electronic Journal of Probability 19 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 11 The Annals of Applied Probability 9 Journal of Mathematical Physics 9 Stochastic Processes and their Applications 9 The Electronic Journal of Combinatorics 8 Discrete Mathematics 7 Electronic Communications in Probability 6 Journal of Combinatorial Theory. Series A 6 Combinatorics, Probability and Computing 6 Annals of Mathematics. Second Series 5 Inventiones Mathematicae 5 Transactions of the American Mathematical Society 5 SIAM Journal on Discrete Mathematics 5 Annales Henri Poincaré 5 ALEA. Latin American Journal of Probability and Mathematical Statistics 5 Journal of Physics A: Mathematical and Theoretical 5 Probability Surveys 4 Random Structures & Algorithms 4 Journal of High Energy Physics 3 Communications on Pure and Applied Mathematics 3 Discrete Applied Mathematics 3 Nuclear Physics. B 3 Theoretical Computer Science 3 European Journal of Combinatorics 3 Statistics & Probability Letters 3 SIAM Journal on Mathematical Analysis 3 Bernoulli 3 Mathematical Physics, Analysis and Geometry 3 Oberwolfach Reports 3 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD) 3 Annales Henri Lebesgue 2 Advances in Applied Probability 2 Information Processing Letters 2 Israel Journal of Mathematics 2 Letters in Mathematical Physics 2 Reviews in Mathematical Physics 2 Duke Mathematical Journal 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 2 Journal of Statistical Mechanics: Theory and Experiment 2 Forum of Mathematics, Pi 1 Physics Reports 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 Mathematical Society of Japan 1 Mathematische Zeitschrift 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 Journal of Algebraic Combinatorics 1 Potential Analysis 1 The Journal of Fourier Analysis and Applications 1 Taiwanese Journal of Mathematics 1 Extremes 1 Probability in the Engineering and Informational Sciences 1 Moscow Mathematical Journal 1 Journal of Machine Learning Research (JMLR) 1 Milan Journal of Mathematics 1 Japanese Journal of Mathematics. 3rd Series 1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal 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 all top 5 Cited in 42 Fields 338 Probability theory and stochastic processes (60-XX) 315 Statistical mechanics, structure of matter (82-XX) 109 Combinatorics (05-XX) 36 Quantum theory (81-XX) 26 Computer science (68-XX) 19 Partial differential equations (35-XX) 16 Dynamical systems and ergodic theory (37-XX) 11 Measure and integration (28-XX) 9 Functions of a complex variable (30-XX) 7 Group theory and generalizations (20-XX) 5 Potential theory (31-XX) 5 Statistics (62-XX) 5 Operations research, mathematical programming (90-XX) 5 Biology and other natural sciences (92-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Numerical analysis (65-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 General and overarching topics; collections (00-XX) 3 Algebraic geometry (14-XX) 3 Nonassociative rings and algebras (17-XX) 3 Special functions (33-XX) 3 Difference and functional equations (39-XX) 3 Operator theory (47-XX) 3 Geometry (51-XX) 3 Relativity and gravitational theory (83-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Number theory (11-XX) 2 Associative rings and algebras (16-XX) 2 Topological groups, Lie groups (22-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Convex and discrete geometry (52-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Information and communication theory, circuits (94-XX) 1 Commutative algebra (13-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Harmonic analysis on Euclidean spaces (42-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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