## Duminil-Copin, Hugo

Compute Distance To:
 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 1,331 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
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### 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
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### 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)

### Citations contained in zbMATH Open

68 Publications have been cited 959 times in 477 Documents Cited by Year
The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108
Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert
2012
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
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
2014
The connective constant of the honeycomb lattice equals $$\sqrt{2+\sqrt 2}$$. Zbl 1253.82012
Duminil-Copin, Hugo; Smirnov, Stanislav
2012
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
2016
Sharp phase transition for the random-cluster and Potts models via decision trees. Zbl 1482.82009
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
2019
Random currents and continuity of Ising model’s spontaneous magnetization. Zbl 1315.82004
Aizenman, Michael; Duminil-Copin, Hugo; Sidoravicius, Vladas
2015
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
2017
Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model. Zbl 1227.82015
Duminil-Copin, Hugo; Hongler, Clément; Nolin, Pierre
2011
Lectures on self-avoiding walks. Zbl 1317.60125
Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon
2012
Conformal invariance of lattice models. Zbl 1317.60002
Duminil-Copin, Hugo; Smirnov, Stanislav
2012
Disorder, entropy and harmonic functions. Zbl 1337.60248
2015
Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément
2016
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
2018
Sharp metastability threshold for an anisotropic bootstrap percolation model. Zbl 1356.60166
Duminil-Copin, H.; van Enter, A. C. D.
2013
The critical temperature for the Ising model on planar doubly periodic graphs. Zbl 1281.82004
Cimasoni, David; Duminil-Copin, Hugo
2013
Parafermionic observables and their applications to planar statistical physics models. Zbl 1298.82001
Duminil-Copin, Hugo
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
2018
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
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
2016
Smirnov’s fermionic observable away from criticality. Zbl 1339.60136
Beffara, V.; Duminil-Copin, H.
2012
Self-avoiding walk is sub-ballistic. Zbl 1277.82027
Duminil-Copin, Hugo; Hammond, Alan
2013
Exponential decay of connection probabilities for subcritical Voronoi percolation in $$\mathbb{R}^d$$. Zbl 1478.60259
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
2019
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.
2014
Lectures on the Ising and Potts models on the hypercubic lattice. Zbl 1447.82007
Duminil-Copin, Hugo
2020
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
2017
Universality for the random-cluster model on isoradial graphs. Zbl 1414.60076
Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan
2018
The sharp threshold for the Duarte model. Zbl 1454.60141
Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul
2017
Conformal invariance of crossing probabilities for the Ising model with free boundary conditions. Zbl 1355.60119
Benoist, Stéphane; Duminil-Copin, Hugo; Hongler, Clément
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
2014
Seven-dimensional forest fires. Zbl 1323.60123
2015
Planar percolation with a glimpse of Schramm-Loewner evolution. Zbl 1283.60118
Beffara, Vincent; Duminil-Copin, Hugo
2013
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
2020
Absence of infinite cluster for critical Bernoulli percolation on slabs. Zbl 1342.82076
Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent
2016
Marginal triviality of the scaling limits of critical 4D Ising and $$\phi_4^4$$ models. Zbl 1489.60150
Aizenman, Michael; Duminil-Copin, Hugo
2021
Higher order corrections for anisotropic bootstrap percolation. Zbl 1404.60149
Duminil-Copin, Hugo; van Enter, Aernout C. D.; Hulshof, Tim
2018
Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022
Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone
2019
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.
2015
Supercritical self-avoiding walks are space-filling. Zbl 1292.60096
2014
The near-critical planar FK-Ising model. Zbl 1286.82003
Duminil-Copin, Hugo; Garban, Christophe; Pete, Gábor
2014
Macroscopic loops in the loop $$O(n)$$ model at Nienhuis’ critical point. Zbl 1477.60137
Duminil-Copin, Hugo; Glazman, Alexander; Peled, Ron; Spinka, Yinon
2021
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
2020
The box-crossing property for critical two-dimensional oriented percolation. Zbl 1428.60138
Duminil-Copin, H.; Tassion, Vincent; Teixeira, Augusto
2018
Random currents expansion of the Ising model. Zbl 1403.82005
Duminil-Copin, Hugo
2018
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.
2012
On the probability that self-avoiding walk ends at a given point. Zbl 1347.60131
Duminil-Copin, Hugo; Glazman, Alexander; Hammond, Alan; Manolescu, Ioan
2016
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
2020
Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146
2017
Containing internal diffusion limited aggregation. Zbl 1300.60065
Duminil-Copin, Hugo; Lucas, Cyrille; Yadin, Ariel; Yehudayoff, Amir
2013
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
2018
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
2016
Order/disorder phase transitions: the example of the Potts model. Zbl 1372.82017
Duminil-Copin, Hugo
2016
Upper bounds on the percolation correlation length. Zbl 1469.60325
Duminil-Copin, Hugo; Kozma, Gady; Tassion, Vincent
2021
Renormalization of crossing probabilities in the planar random-cluster model. Zbl 1482.82034
Duminil-Copin, Hugo; Tassion, Vincent
2020
Sharp threshold phenomena in statistical physics. Zbl 1420.82003
Duminil-Copin, Hugo
2019
Bridge decomposition of restriction measures. Zbl 1197.82055
Alberts, Tom; Duminil-Copin, Hugo
2010
A note on Schramm’s locality conjecture for random-cluster models. Zbl 1446.82006
Duminil-Copin, Hugo; Tassion, Vincent
2019
Planar random-cluster model: fractal properties of the critical phase. Zbl 1475.60195
Duminil-Copin, Hugo; Manolescu, Ioan; Tassion, Vincent
2021
Sixty years of percolation. Zbl 1453.82034
Duminil-Copin, Hugo
2018
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
2020
Critical point and duality in planar lattice models. Zbl 1391.82006
Beffara, Vincent; Duminil-Copin, Hugo
2016
On the double random current nesting field. Zbl 1428.82010
Duminil-Copin, Hugo; Lis, Marcin
2019
Brochette percolation. Zbl 1430.60081
2018
Limit of the Wulff crystal when approaching criticality for site percolation on the triangular lattic. Zbl 1307.82005
Duminil-Copin, Hugo
2013
Internal diffusion-limited aggregation with uniform starting points. Zbl 1434.82062
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Lucas, Cyrille
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
2020
Erratum to “Sharp metastability threshold for an anisotropic bootstrap percolation model”. Zbl 1356.60168
Duminil-Copin, Hugo; van Enter, Aernout
2016
Dimerization and Néel order in different quantum spin chains through a shared loop representation. Zbl 1453.82003
Aizenman, Michael; Duminil-Copin, Hugo; Warzel, Simone
2020
Marginal triviality of the scaling limits of critical 4D Ising and $$\phi_4^4$$ models. Zbl 1489.60150
Aizenman, Michael; Duminil-Copin, Hugo
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
2021
Upper bounds on the percolation correlation length. Zbl 1469.60325
Duminil-Copin, Hugo; Kozma, Gady; Tassion, Vincent
2021
Planar random-cluster model: fractal properties of the critical phase. Zbl 1475.60195
Duminil-Copin, Hugo; Manolescu, Ioan; Tassion, Vincent
2021
Lectures on the Ising and Potts models on the hypercubic lattice. Zbl 1447.82007
Duminil-Copin, Hugo
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
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
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
2020
Renormalization of crossing probabilities in the planar random-cluster model. Zbl 1482.82034
Duminil-Copin, Hugo; Tassion, Vincent
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
2020
Internal diffusion-limited aggregation with uniform starting points. Zbl 1434.82062
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Lucas, Cyrille
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
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
2020
Sharp phase transition for the random-cluster and Potts models via decision trees. Zbl 1482.82009
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
2019
Exponential decay of connection probabilities for subcritical Voronoi percolation in $$\mathbb{R}^d$$. Zbl 1478.60259
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
2019
Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022
Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone
2019
Sharp threshold phenomena in statistical physics. Zbl 1420.82003
Duminil-Copin, Hugo
2019
A note on Schramm’s locality conjecture for random-cluster models. Zbl 1446.82006
Duminil-Copin, Hugo; Tassion, Vincent
2019
On the double random current nesting field. Zbl 1428.82010
Duminil-Copin, Hugo; Lis, Marcin
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
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
2018
Universality for the random-cluster model on isoradial graphs. Zbl 1414.60076
Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan
2018
Higher order corrections for anisotropic bootstrap percolation. Zbl 1404.60149
Duminil-Copin, Hugo; van Enter, Aernout C. D.; Hulshof, Tim
2018
The box-crossing property for critical two-dimensional oriented percolation. Zbl 1428.60138
Duminil-Copin, H.; Tassion, Vincent; Teixeira, Augusto
2018
Random currents expansion of the Ising model. Zbl 1403.82005
Duminil-Copin, Hugo
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
2018
Sixty years of percolation. Zbl 1453.82034
Duminil-Copin, Hugo
2018
Brochette percolation. Zbl 1430.60081
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
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
2017
The sharp threshold for the Duarte model. Zbl 1454.60141
Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul
2017
Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146
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
2016
Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément
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
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
2016
Conformal invariance of crossing probabilities for the Ising model with free boundary conditions. Zbl 1355.60119
Benoist, Stéphane; Duminil-Copin, Hugo; Hongler, Clément
2016
Absence of infinite cluster for critical Bernoulli percolation on slabs. Zbl 1342.82076
Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent
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
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
2016
Order/disorder phase transitions: the example of the Potts model. Zbl 1372.82017
Duminil-Copin, Hugo
2016
Critical point and duality in planar lattice models. Zbl 1391.82006
Beffara, Vincent; Duminil-Copin, Hugo
2016
Erratum to “Sharp metastability threshold for an anisotropic bootstrap percolation model”. Zbl 1356.60168
Duminil-Copin, Hugo; van Enter, Aernout
2016
Random currents and continuity of Ising model’s spontaneous magnetization. Zbl 1315.82004
Aizenman, Michael; Duminil-Copin, Hugo; Sidoravicius, Vladas
2015
Disorder, entropy and harmonic functions. Zbl 1337.60248
2015
Seven-dimensional forest fires. Zbl 1323.60123
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.
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
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.
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
2014
Supercritical self-avoiding walks are space-filling. Zbl 1292.60096
2014
The near-critical planar FK-Ising model. Zbl 1286.82003
Duminil-Copin, Hugo; Garban, Christophe; Pete, Gábor
2014
Sharp metastability threshold for an anisotropic bootstrap percolation model. Zbl 1356.60166
Duminil-Copin, H.; van Enter, A. C. D.
2013
The critical temperature for the Ising model on planar doubly periodic graphs. Zbl 1281.82004
Cimasoni, David; Duminil-Copin, Hugo
2013
Parafermionic observables and their applications to planar statistical physics models. Zbl 1298.82001
Duminil-Copin, Hugo
2013
Self-avoiding walk is sub-ballistic. Zbl 1277.82027
Duminil-Copin, Hugo; Hammond, Alan
2013
Planar percolation with a glimpse of Schramm-Loewner evolution. Zbl 1283.60118
Beffara, Vincent; Duminil-Copin, Hugo
2013
Containing internal diffusion limited aggregation. Zbl 1300.60065
Duminil-Copin, Hugo; Lucas, Cyrille; Yadin, Ariel; Yehudayoff, Amir
2013
Limit of the Wulff crystal when approaching criticality for site percolation on the triangular lattic. Zbl 1307.82005
Duminil-Copin, Hugo
2013
The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108
Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert
2012
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
2012
The connective constant of the honeycomb lattice equals $$\sqrt{2+\sqrt 2}$$. Zbl 1253.82012
Duminil-Copin, Hugo; Smirnov, Stanislav
2012
Lectures on self-avoiding walks. Zbl 1317.60125
Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon
2012
Conformal invariance of lattice models. Zbl 1317.60002
Duminil-Copin, Hugo; Smirnov, Stanislav
2012
Smirnov’s fermionic observable away from criticality. Zbl 1339.60136
Beffara, V.; Duminil-Copin, H.
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.
2012
Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model. Zbl 1227.82015
Duminil-Copin, Hugo; Hongler, Clément; Nolin, Pierre
2011
Bridge decomposition of restriction measures. Zbl 1197.82055
Alberts, Tom; Duminil-Copin, Hugo
2010
all top 5

### Cited by 503 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 403 more Authors
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### Cited in 82 Serials

 61 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 6 Annales Henri Poincaré 5 Inventiones Mathematicae 5 Transactions of the American Mathematical Society 5 SIAM Journal on Discrete Mathematics 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
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### Cited in 42 Fields

 340 Probability theory and stochastic processes (60-XX) 316 Statistical mechanics, structure of matter (82-XX) 109 Combinatorics (05-XX) 38 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)

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