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Duminil-Copin, Hugo

Author ID: duminil-copin.hugo Recent zbMATH articles by "Duminil-Copin, Hugo"
Published as: Duminil-Copin, Hugo; Duminil-Copin, H.
Homepage: http://www.ihes.fr/~duminil/
External Links: MGP · ORCID · Wikidata · Google Scholar · Twitter · GND · IdRef · theses.fr
Awards: EMS Prize (2016) · New Horizons in Mathematics Prize (2017) · Fields Medal (2022)
Documents Indexed: 77 Publications since 2010, including 1 Book
1 Contribution as Editor
Biographic References: 2 Publications
Co-Authors: 65 Co-Authors with 68 Joint Publications
1,418 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

74 Publications have been cited 1,226 times in 591 Documents Cited by Year
The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108
Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert
83
2012
The self-dual point of the two-dimensional random-cluster model is critical for \(q \geqslant 1\). Zbl 1257.82014
Beffara, Vincent; Duminil-Copin, Hugo
80
2012
Convergence of Ising interfaces to Schramm’s SLE curves. (Convergence des interfaces d’Ising vers les courbes SLE introduites par Schramm.) Zbl 1294.82007
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément; Kemppainen, Antti; Smirnov, Stanislav
78
2014
A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model. Zbl 1342.82026
Duminil-Copin, Hugo; Tassion, Vincent
59
2016
The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\). Zbl 1253.82012
Duminil-Copin, Hugo; Smirnov, Stanislav
58
2012
Sharp phase transition for the random-cluster and Potts models via decision trees. Zbl 1482.82009
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
57
2019
Continuity of the phase transition for planar random-cluster and Potts models with \({1 \leq q \leq 4}\). Zbl 1357.82011
Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent
51
2017
Random currents and continuity of Ising model’s spontaneous magnetization. Zbl 1315.82004
Aizenman, Michael; Duminil-Copin, Hugo; Sidoravicius, Vladas
48
2015
Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model. Zbl 1227.82015
Duminil-Copin, Hugo; Hongler, Clément; Nolin, Pierre
38
2011
Lectures on self-avoiding walks. Zbl 1317.60125
Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon
37
2012
Conformal invariance of lattice models. Zbl 1317.60002
Duminil-Copin, Hugo; Smirnov, Stanislav
26
2012
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
25
2018
Disorder, entropy and harmonic functions. Zbl 1337.60248
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel
25
2015
A new computation of the critical point for the planar random-cluster model with \(q\geq1\). Zbl 1395.82043
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
25
2018
Lectures on the Ising and Potts models on the hypercubic lattice. Zbl 1447.82007
Duminil-Copin, Hugo
25
2020
Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément
24
2016
Sharp metastability threshold for an anisotropic bootstrap percolation model. Zbl 1356.60166
Duminil-Copin, H.; van Enter, A. C. D.
21
2013
The critical temperature for the Ising model on planar doubly periodic graphs. Zbl 1281.82004
Cimasoni, David; Duminil-Copin, Hugo
21
2013
A new proof of the sharpness of the phase transition for Bernoulli percolation on \(\mathbb{Z}^d\). Zbl 1359.60118
Duminil-Copin, Hugo; Tassion, Vincent
20
2016
Parafermionic observables and their applications to planar statistical physics models. Zbl 1298.82001
Duminil-Copin, Hugo
20
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
Exponential decay of connection probabilities for subcritical Voronoi percolation in \(\mathbb{R}^d\). Zbl 1478.60259
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
17
2019
Smirnov’s fermionic observable away from criticality. Zbl 1339.60136
Beffara, V.; Duminil-Copin, H.
16
2012
Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models. Zbl 1489.60150
Aizenman, Michael; Duminil-Copin, Hugo
16
2021
The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is \(1+\sqrt{2}\). Zbl 1288.82006
Beaton, Nicholas R.; Bousquet-Mélou, Mireille; de Gier, Jan; Duminil-Copin, Hugo; Guttmann, Anthony J.
15
2014
Self-avoiding walk is sub-ballistic. Zbl 1277.82027
Duminil-Copin, Hugo; Hammond, Alan
15
2013
The sharp threshold for the Duarte model. Zbl 1454.60141
Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul
15
2017
Macroscopic loops in the loop \(O(n)\) model at Nienhuis’ critical point. Zbl 1477.60137
Duminil-Copin, Hugo; Glazman, Alexander; Peled, Ron; Spinka, Yinon
15
2021
Exponential decay of loop lengths in the loop \(\mathrm{O}(n)\) model with large \(n\). Zbl 1359.82007
Duminil-Copin, Hugo; Peled, Ron; Samotij, Wojciech; Spinka, Yinon
15
2017
Universality for the random-cluster model on isoradial graphs. Zbl 1414.60076
Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan
14
2018
Subcritical phase of \(d\)-dimensional Poisson-Boolean percolation and its vacant set. (Phase sous-critique du modèle de percolation Poisson-Booléen et de son complémentaire en dimension \(d\).) Zbl 1454.82016
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
13
2020
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
11
2014
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
11
2020
Conformal invariance of crossing probabilities for the Ising model with free boundary conditions. Zbl 1355.60119
Benoist, Stéphane; Duminil-Copin, Hugo; Hongler, Clément
11
2016
The near-critical planar FK-Ising model. Zbl 1286.82003
Duminil-Copin, Hugo; Garban, Christophe; Pete, Gábor
10
2014
Supercritical self-avoiding walks are space-filling. Zbl 1292.60096
Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel
10
2014
Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022
Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone
10
2019
Absence of infinite cluster for critical Bernoulli percolation on slabs. Zbl 1342.82076
Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent
9
2016
Seven-dimensional forest fires. Zbl 1323.60123
Ahlberg, 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 1342.82018
Beffara, V.; Duminil-Copin, H.; Smirnov, S.
9
2015
Planar percolation with a glimpse of Schramm-Loewner evolution. Zbl 1283.60118
Beffara, Vincent; Duminil-Copin, Hugo
9
2013
Higher order corrections for anisotropic bootstrap percolation. Zbl 1404.60149
Duminil-Copin, Hugo; van Enter, Aernout C. D.; Hulshof, Tim
8
2018
Discontinuity of the phase transition for the planar random-cluster and Potts models with \(q>4\). (Discontinuité de la transition de phase pour la percolation FK et le modèle de Potts avec \(q>4\).) Zbl 1506.60106
Duminil-Copin, Hugo; Gagnebin, Maxime; Harel, Matan; Manolescu, Ioan; Tassion, Vincent
8
2021
Planar random-cluster model: fractal properties of the critical phase. Zbl 1475.60195
Duminil-Copin, Hugo; Manolescu, Ioan; Tassion, Vincent
7
2021
Containing internal diffusion limited aggregation. Zbl 1300.60065
Duminil-Copin, Hugo; Lucas, Cyrille; Yadin, Ariel; Yehudayoff, Amir
6
2013
Random currents expansion of the Ising model. Zbl 1403.82005
Duminil-Copin, Hugo
6
2018
Divergence of the correlation length for critical planar FK percolation with \(1\leq q\leq 4\) via parafermionic observables. Zbl 1257.82051
Duminil-Copin, H.
6
2012
Equality of critical parameters for percolation of Gaussian free field level sets. Zbl 07684355
Duminil-Copin, Hugo; Goswami, Subhajit; Rodriguez, Pierre-François; Severo, Franco
6
2023
Upper bounds on the percolation correlation length. Zbl 1469.60325
Duminil-Copin, Hugo; Kozma, Gady; Tassion, Vincent
6
2021
Renormalization of crossing probabilities in the planar random-cluster model. Zbl 1482.82034
Duminil-Copin, Hugo; Tassion, Vincent
6
2020
The box-crossing property for critical two-dimensional oriented percolation. Zbl 1428.60138
Duminil-Copin, H.; Tassion, Vincent; Teixeira, Augusto
5
2018
On the probability that self-avoiding walk ends at a given point. Zbl 1347.60131
Duminil-Copin, Hugo; Glazman, Alexander; Hammond, Alan; Manolescu, Ioan
5
2016
Correction to: “A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model”. Zbl 1408.82001
Duminil-Copin, Hugo; Tassion, Vincent
5
2018
Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature. Zbl 1475.82003
Duminil-Copin, Hugo; Goswami, Subhajit; Raoufi, Aran
5
2020
Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel
5
2017
Brochette percolation. Zbl 1430.60081
Duminil-Copin, Hugo; Hilário, Marcelo R.; Kozma, Gady; Sidoravicius, Vladas
4
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
4
2020
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
Sixty years of percolation. Zbl 1453.82034
Duminil-Copin, Hugo
4
2018
Critical point and duality in planar lattice models. Zbl 1391.82006
Beffara, Vincent; Duminil-Copin, Hugo
3
2016
Limit of the Wulff crystal when approaching criticality for site percolation on the triangular lattic. Zbl 1307.82005
Duminil-Copin, Hugo
3
2013
Order/disorder phase transitions: the example of the Potts model. Zbl 1372.82017
Duminil-Copin, Hugo
3
2016
A note on Schramm’s locality conjecture for random-cluster models. Zbl 1446.82006
Duminil-Copin, Hugo; Tassion, Vincent
3
2019
Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion. Zbl 1453.60154
Duminil-Copin, Hugo; Ganguly, Shirshendu; Hammond, Alan; Manolescu, Ioan
3
2020
Dimerization and Néel order in different quantum spin chains through a shared loop representation. Zbl 1453.82003
Aizenman, Michael; Duminil-Copin, Hugo; Warzel, Simone
3
2020
Logarithmic variance for the height function of square-ice. Zbl 07613401
Duminil-Copin, Hugo; Harel, Matan; Laslier, Benoit; Raoufi, Aran; Ray, Gourab
3
2022
Sharp threshold phenomena in statistical physics. Zbl 1420.82003
Duminil-Copin, Hugo
3
2019
On the double random current nesting field. Zbl 1428.82010
Duminil-Copin, Hugo; Lis, Marcin
3
2019
Bridge decomposition of restriction measures. Zbl 1197.82055
Alberts, Tom; Duminil-Copin, Hugo
2
2010
Internal diffusion-limited aggregation with uniform starting points. Zbl 1434.82062
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Lucas, Cyrille
2
2020
Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geq 3\). Zbl 1515.60153
Duminil-Copin, Hugo; Rivera, Alejandro; Rodriguez, Pierre-François; Vanneuville, Hugo
2
2023
Planar random-cluster model: scaling relations. Zbl 1512.60065
Duminil-Copin, Hugo; Manolescu, Ioan
2
2022
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
Equality of critical parameters for percolation of Gaussian free field level sets. Zbl 07684355
Duminil-Copin, Hugo; Goswami, Subhajit; Rodriguez, Pierre-François; Severo, Franco
6
2023
Existence of an unbounded nodal hypersurface for smooth Gaussian fields in dimension \(d\geq 3\). Zbl 1515.60153
Duminil-Copin, Hugo; Rivera, Alejandro; Rodriguez, Pierre-François; Vanneuville, Hugo
2
2023
Logarithmic variance for the height function of square-ice. Zbl 07613401
Duminil-Copin, Hugo; Harel, Matan; Laslier, Benoit; Raoufi, Aran; Ray, Gourab
3
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
16
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
15
2021
Discontinuity of the phase transition for the planar random-cluster and Potts models with \(q>4\). (Discontinuité de la transition de phase pour la percolation FK et le modèle de Potts avec \(q>4\).) Zbl 1506.60106
Duminil-Copin, Hugo; Gagnebin, Maxime; Harel, Matan; Manolescu, Ioan; Tassion, Vincent
8
2021
Planar random-cluster model: fractal properties of the critical phase. Zbl 1475.60195
Duminil-Copin, Hugo; Manolescu, Ioan; Tassion, Vincent
7
2021
Upper bounds on the percolation correlation length. Zbl 1469.60325
Duminil-Copin, Hugo; Kozma, Gady; Tassion, Vincent
6
2021
Lectures on the Ising and Potts models on the hypercubic lattice. Zbl 1447.82007
Duminil-Copin, Hugo
25
2020
Subcritical phase of \(d\)-dimensional Poisson-Boolean percolation and its vacant set. (Phase sous-critique du modèle de percolation Poisson-Booléen et de son complémentaire en dimension \(d\).) Zbl 1454.82016
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
13
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
11
2020
Renormalization of crossing probabilities in the planar random-cluster model. Zbl 1482.82034
Duminil-Copin, Hugo; Tassion, Vincent
6
2020
Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature. Zbl 1475.82003
Duminil-Copin, Hugo; Goswami, Subhajit; Raoufi, Aran
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
Bounding the number of self-avoiding walks: Hammersley-Welsh with polygon insertion. Zbl 1453.60154
Duminil-Copin, Hugo; Ganguly, Shirshendu; Hammond, Alan; Manolescu, Ioan
3
2020
Dimerization and Néel order in different quantum spin chains through a shared loop representation. Zbl 1453.82003
Aizenman, Michael; Duminil-Copin, Hugo; Warzel, Simone
3
2020
Internal diffusion-limited aggregation with uniform starting points. Zbl 1434.82062
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Lucas, Cyrille
2
2020
Sharp phase transition for the random-cluster and Potts models via decision trees. Zbl 1482.82009
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
57
2019
Exponential decay of connection probabilities for subcritical Voronoi percolation in \(\mathbb{R}^d\). Zbl 1478.60259
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
17
2019
Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022
Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone
10
2019
A note on Schramm’s locality conjecture for random-cluster models. Zbl 1446.82006
Duminil-Copin, Hugo; Tassion, Vincent
3
2019
Sharp threshold phenomena in statistical physics. Zbl 1420.82003
Duminil-Copin, Hugo
3
2019
On the double random current nesting field. Zbl 1428.82010
Duminil-Copin, Hugo; Lis, Marcin
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
25
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
25
2018
Universality for the random-cluster model on isoradial graphs. Zbl 1414.60076
Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan
14
2018
Higher order corrections for anisotropic bootstrap percolation. Zbl 1404.60149
Duminil-Copin, Hugo; van Enter, Aernout C. D.; Hulshof, Tim
8
2018
Random currents expansion of the Ising model. Zbl 1403.82005
Duminil-Copin, Hugo
6
2018
The box-crossing property for critical two-dimensional oriented percolation. Zbl 1428.60138
Duminil-Copin, H.; Tassion, Vincent; Teixeira, Augusto
5
2018
Correction to: “A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model”. Zbl 1408.82001
Duminil-Copin, Hugo; Tassion, Vincent
5
2018
Brochette percolation. Zbl 1430.60081
Duminil-Copin, Hugo; Hilário, Marcelo R.; Kozma, Gady; Sidoravicius, Vladas
4
2018
Sixty years of percolation. Zbl 1453.82034
Duminil-Copin, Hugo
4
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
51
2017
The sharp threshold for the Duarte model. Zbl 1454.60141
Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul
15
2017
Exponential decay of loop lengths in the loop \(\mathrm{O}(n)\) model with large \(n\). Zbl 1359.82007
Duminil-Copin, Hugo; Peled, Ron; Samotij, Wojciech; Spinka, Yinon
15
2017
Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146
Benjamini, 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 1342.82026
Duminil-Copin, Hugo; Tassion, Vincent
59
2016
Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément
24
2016
A new proof of the sharpness of the phase transition for Bernoulli percolation on \(\mathbb{Z}^d\). Zbl 1359.60118
Duminil-Copin, Hugo; Tassion, Vincent
20
2016
The phase transitions of the planar random-cluster and Potts models with \(q \geq 1\) are sharp. Zbl 1356.60167
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
11
2016
Absence of infinite cluster for critical Bernoulli percolation on slabs. Zbl 1342.82076
Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent
9
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
5
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
Order/disorder phase transitions: the example of the Potts model. Zbl 1372.82017
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
48
2015
Disorder, entropy and harmonic functions. Zbl 1337.60248
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel
25
2015
Seven-dimensional forest fires. Zbl 1323.60123
Ahlberg, 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 1342.82018
Beffara, V.; Duminil-Copin, H.; Smirnov, S.
9
2015
Convergence of Ising interfaces to Schramm’s SLE curves. (Convergence des interfaces d’Ising vers les courbes SLE introduites par Schramm.) Zbl 1294.82007
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément; Kemppainen, Antti; Smirnov, Stanislav
78
2014
The critical fugacity for surface adsorption of self-avoiding walks on the honeycomb lattice is \(1+\sqrt{2}\). Zbl 1288.82006
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
11
2014
The near-critical planar FK-Ising model. Zbl 1286.82003
Duminil-Copin, Hugo; Garban, Christophe; Pete, Gábor
10
2014
Supercritical self-avoiding walks are space-filling. Zbl 1292.60096
Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel
10
2014
Sharp metastability threshold for an anisotropic bootstrap percolation model. Zbl 1356.60166
Duminil-Copin, H.; van Enter, A. C. D.
21
2013
The critical temperature for the Ising model on planar doubly periodic graphs. Zbl 1281.82004
Cimasoni, David; Duminil-Copin, Hugo
21
2013
Parafermionic observables and their applications to planar statistical physics models. Zbl 1298.82001
Duminil-Copin, Hugo
20
2013
Self-avoiding walk is sub-ballistic. Zbl 1277.82027
Duminil-Copin, Hugo; Hammond, Alan
15
2013
Planar percolation with a glimpse of Schramm-Loewner evolution. Zbl 1283.60118
Beffara, Vincent; Duminil-Copin, Hugo
9
2013
Containing internal diffusion limited aggregation. Zbl 1300.60065
Duminil-Copin, Hugo; Lucas, Cyrille; Yadin, Ariel; Yehudayoff, Amir
6
2013
Limit of the Wulff crystal when approaching criticality for site percolation on the triangular lattic. Zbl 1307.82005
Duminil-Copin, Hugo
3
2013
The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108
Balogh, József; Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert
83
2012
The self-dual point of the two-dimensional random-cluster model is critical for \(q \geqslant 1\). Zbl 1257.82014
Beffara, Vincent; Duminil-Copin, Hugo
80
2012
The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\). Zbl 1253.82012
Duminil-Copin, Hugo; Smirnov, Stanislav
58
2012
Lectures on self-avoiding walks. Zbl 1317.60125
Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon
37
2012
Conformal invariance of lattice models. Zbl 1317.60002
Duminil-Copin, Hugo; Smirnov, Stanislav
26
2012
Smirnov’s fermionic observable away from criticality. Zbl 1339.60136
Beffara, V.; Duminil-Copin, H.
16
2012
Divergence of the correlation length for critical planar FK percolation with \(1\leq q\leq 4\) via parafermionic observables. Zbl 1257.82051
Duminil-Copin, H.
6
2012
Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model. Zbl 1227.82015
Duminil-Copin, Hugo; Hongler, Clément; Nolin, Pierre
38
2011
Bridge decomposition of restriction measures. Zbl 1197.82055
Alberts, Tom; Duminil-Copin, Hugo
2
2010
all top 5

Cited by 637 Authors

50 Duminil-Copin, Hugo
19 Tassion, Vincent
15 Hutchcroft, Tom
14 Grimmett, Geoffrey R.
14 Manolescu, Ioan
12 Morris, Robert D.
11 Bollobás, Béla
11 Camia, Federico
11 Hammond, Alan
11 Sidoravicius, Vladas
10 Li, Zhongyang
10 Lis, Marcin
10 Raoufi, Aran
10 Vigoda, Eric
9 Blanca, Antonio
9 Gravner, Janko
9 Newman, Charles Michael
9 Wu, Hao
8 Miller, Jason P.
8 Sampaio, Rudini Menezes
8 Spinka, Yinon
8 Vanneuville, Hugo
7 Chelkak, Dmitry
7 Glazman, Alexander
7 Guttmann, Anthony John
7 Hartarsky, Ivailo
7 Ott, Sébastien
7 Otto, Felix
7 Slade, Gordon
7 Štefankovič, Daniel
7 Taggi, Lorenzo
6 Aizenman, Michael
6 Beffara, Vincent
6 Holroyd, Alexander E.
6 Hongler, Clément
6 Peled, Ron
6 Smirnov, Stanislav Konstantinovich
6 Smith, Paul
6 van Enter, Aernout C. D.
6 Werner, Wendelin
5 Beaton, Nicholas R.
5 Galanis, Andreas
5 Ganguly, Shirshendu
5 Garban, Christophe
5 Gheissari, Reza
5 Izyurov, Konstantin
5 Jiang, Jianping
5 Koshida, Shinji
5 Marcilon, Thiago
5 Noel, Jonathan Andrew
5 Peltola, Eveliina
5 Ray, Gourab
5 Sakai, Akira
5 Toninelli, Cristina
5 Velenik, Yvan
5 Wilson, David Bruce
5 Yadin, Ariel
4 Ahlberg, Daniel
4 Bauerschmidt, Roland
4 Björnberg, Jakob Erik
4 Boutillier, Cédric
4 de Lima, Bernardo N. B.
4 de Tilière, Béatrice
4 Fischer, Julian
4 Flores, Steven M.
4 Giuliani, Alessandro
4 Goswami, Subhajit
4 Heydenreich, Markus
4 Hilário, Marcelo Richard
4 Kleban, Peter
4 Kytölä, Kalle
4 Muirhead, Stephen
4 Nitzschner, Maximilian
4 Przykucki, Michał
4 Raschel, Kilian
4 Rivera, Alejandro
4 Rodriguez, Pierre-François
4 Severo, Franco
4 Sheffield, Scott
4 Sinclair, Alistair
4 Sivakoff, David J.
4 Teixeira, Augusto Quadros
4 Uzzell, Andrew J.
4 Warzel, Simone
4 Watson, Samuel S.
3 Angel, Omer
3 Balister, Paul N.
3 Balogh, József
3 Beekenkamp, Thomas
3 Bella, Peter
3 Benevides, Fabricio Siqueira
3 Benjamini, Itai
3 Betz, Volker
3 Bousquet-Mélou, Mireille
3 Brydges, David C.
3 Caputo, Pietro
3 Fountoulakis, Nikolaos
3 Georgakopoulos, Agelos
3 Harel, Matan
3 Helmuth, Tyler
...and 537 more Authors
all top 5

Cited in 99 Serials

72 Communications in Mathematical Physics
52 Probability Theory and Related Fields
50 Journal of Statistical Physics
39 The Annals of Probability
32 Electronic Journal of Probability
23 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
17 The Annals of Applied Probability
14 Journal of Mathematical Physics
11 Electronic Communications in Probability
11 Journal of Physics A: Mathematical and Theoretical
10 Stochastic Processes and their Applications
10 The Electronic Journal of Combinatorics
9 Combinatorics, Probability and Computing
9 Oberwolfach Reports
8 Discrete Mathematics
8 Inventiones Mathematicae
7 Transactions of the American Mathematical Society
7 ALEA. Latin American Journal of Probability and Mathematical Statistics
6 Journal of Combinatorial Theory. Series A
6 SIAM Journal on Discrete Mathematics
6 Annals of Mathematics. Second Series
6 Annales Henri Poincaré
5 Random Structures & Algorithms
5 Journal of High Energy Physics
5 Probability Surveys
5 Probability and Mathematical Physics
4 Discrete Applied Mathematics
4 Nuclear Physics. B
4 Proceedings of the London Mathematical Society. Third Series
4 Mathematical Physics, Analysis and Geometry
4 Annales Henri Lebesgue
3 Communications on Pure and Applied Mathematics
3 Theoretical Computer Science
3 European Journal of Combinatorics
3 Statistics & Probability Letters
3 SIAM Journal on Mathematical Analysis
3 Bernoulli
3 Journal of Statistical Mechanics: Theory and Experiment
3 Forum of Mathematics, Pi
3 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
2 Advances in Applied Probability
2 Information Processing Letters
2 Israel Journal of Mathematics
2 Letters in Mathematical Physics
2 Physics Reports
2 Reviews in Mathematical Physics
2 Duke Mathematical Journal
2 Ergodic Theory and Dynamical Systems
2 Combinatorica
2 Journal of the American Mathematical Society
2 Geometric and Functional Analysis. GAFA
2 Communications in Partial Differential Equations
2 Journal of the European Mathematical Society (JEMS)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Archive for Rational Mechanics and Analysis
1 Physica A
1 Rocky Mountain Journal of Mathematics
1 Chaos, Solitons and Fractals
1 Acta Arithmetica
1 Advances in Mathematics
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Dissertationes Mathematicae
1 Publications Mathématiques
1 Journal of the American Statistical Association
1 Journal of Functional Analysis
1 Journal of the Mathematical Society of Japan
1 Mathematische Zeitschrift
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Advances in Applied Mathematics
1 Mathematical Social Sciences
1 Acta Applicandae Mathematicae
1 Sequential Analysis
1 Discrete & Computational Geometry
1 Journal of Theoretical Probability
1 Games and Economic Behavior
1 L’Enseignement Mathématique. 2e Série
1 Indagationes Mathematicae. New Series
1 The Australasian Journal of Combinatorics
1 Journal of Algebraic Combinatorics
1 Potential Analysis
1 The Journal of Fourier Analysis and Applications
1 Taiwanese Journal of Mathematics
1 Journal of Group Theory
1 Extremes
1 Probability in the Engineering and Informational Sciences
1 Brazilian Journal of Probability and Statistics
1 Moscow Mathematical Journal
1 Journal of Machine Learning Research (JMLR)
1 Milan Journal of Mathematics
1 Involve
1 Japanese Journal of Mathematics. 3rd Series
1 Dal’nevostochnyĭ Matematicheskiĭ Zhurnal
1 Analysis and Mathematical Physics
1 Stochastic and Partial Differential Equations. Analysis and Computations
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 The Art of Discrete and Applied Mathematics
1 Combinatorial Theory
all top 5

Cited in 48 Fields

417 Probability theory and stochastic processes (60-XX)
385 Statistical mechanics, structure of matter (82-XX)
134 Combinatorics (05-XX)
51 Quantum theory (81-XX)
35 Computer science (68-XX)
30 Partial differential equations (35-XX)
22 Dynamical systems and ergodic theory (37-XX)
12 Functions of a complex variable (30-XX)
10 General and overarching topics; collections (00-XX)
10 Group theory and generalizations (20-XX)
10 Measure and integration (28-XX)
8 Operations research, mathematical programming (90-XX)
7 Potential theory (31-XX)
7 Statistics (62-XX)
7 Biology and other natural sciences (92-XX)
5 Numerical analysis (65-XX)
4 Algebraic geometry (14-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Difference and functional equations (39-XX)
4 Geometry (51-XX)
4 Differential geometry (53-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Fluid mechanics (76-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Number theory (11-XX)
3 Associative rings and algebras (16-XX)
3 Nonassociative rings and algebras (17-XX)
3 Topological groups, Lie groups (22-XX)
3 Special functions (33-XX)
3 Operator theory (47-XX)
3 Relativity and gravitational theory (83-XX)
3 Information and communication theory, circuits (94-XX)
2 History and biography (01-XX)
2 Approximations and expansions (41-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Abstract harmonic analysis (43-XX)
2 Functional analysis (46-XX)
2 Convex and discrete geometry (52-XX)
1 Commutative algebra (13-XX)
1 Real functions (26-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Integral transforms, operational calculus (44-XX)
1 Integral equations (45-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year

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