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Duminil-Copin, Hugo

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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 · GND · IdRef · theses.fr
Awards: EMS Prize (2016) · New Horizons in Mathematics Prize (2017) · Fields Medal (2022)

Publications by Year

Citations contained in zbMATH Open

68 Publications have been cited 955 times in 474 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
69
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
67
2012
Convergence of Ising interfaces to Schramm’s SLE curves. (Convergence des interfaces d’Ising vers les courbes SLE introduites par Schramm.) Zbl 1294.82007
Chelkak, 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 1253.82012
Duminil-Copin, Hugo; Smirnov, Stanislav
52
2012
A new proof of the sharpness of the phase transition for Bernoulli percolation and the Ising model. Zbl 1342.82026
Duminil-Copin, Hugo; Tassion, Vincent
46
2016
Sharp phase transition for the random-cluster and Potts models via decision trees. Zbl 1482.82009
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
42
2019
Random currents and continuity of Ising model’s spontaneous magnetization. Zbl 1315.82004
Aizenman, Michael; Duminil-Copin, Hugo; Sidoravicius, Vladas
40
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
40
2017
Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model. Zbl 1227.82015
Duminil-Copin, Hugo; Hongler, Clément; Nolin, Pierre
36
2011
Lectures on self-avoiding walks. Zbl 1317.60125
Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon
32
2012
Conformal invariance of lattice models. Zbl 1317.60002
Duminil-Copin, Hugo; Smirnov, Stanislav
24
2012
Disorder, entropy and harmonic functions. Zbl 1337.60248
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel
23
2015
Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément
21
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
19
2018
Sharp metastability threshold for an anisotropic bootstrap percolation model. Zbl 1356.60166
Duminil-Copin, H.; van Enter, A. C. D.
18
2013
The critical temperature for the Ising model on planar doubly periodic graphs. Zbl 1281.82004
Cimasoni, David; Duminil-Copin, Hugo
18
2013
Parafermionic observables and their applications to planar statistical physics models. Zbl 1298.82001
Duminil-Copin, Hugo
18
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
18
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
17
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
16
2016
Smirnov’s fermionic observable away from criticality. Zbl 1339.60136
Beffara, V.; Duminil-Copin, H.
14
2012
Self-avoiding walk is sub-ballistic. Zbl 1277.82027
Duminil-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 1288.82006
Beaton, 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 1447.82007
Duminil-Copin, Hugo
12
2020
Exponential decay of connection probabilities for subcritical Voronoi percolation in \(\mathbb{R}^d\). Zbl 1478.60259
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
12
2019
The sharp threshold for the Duarte model. Zbl 1454.60141
Bollobás, 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 1359.82007
Duminil-Copin, Hugo; Peled, Ron; Samotij, Wojciech; Spinka, Yinon
11
2017
Universality for the random-cluster model on isoradial graphs. Zbl 1414.60076
Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan
11
2018
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
10
2014
Conformal invariance of crossing probabilities for the Ising model with free boundary conditions. Zbl 1355.60119
Benoist, Stéphane; Duminil-Copin, Hugo; Hongler, Clément
10
2016
Seven-dimensional forest fires. Zbl 1323.60123
Ahlberg, Daniel; Duminil-Copin, Hugo; Kozma, Gady; Sidoravicius, Vladas
9
2015
Absence of infinite cluster for critical Bernoulli percolation on slabs. Zbl 1342.82076
Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent
8
2016
Planar percolation with a glimpse of Schramm-Loewner evolution. Zbl 1283.60118
Beffara, Vincent; Duminil-Copin, Hugo
8
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
8
2020
Supercritical self-avoiding walks are space-filling. Zbl 1292.60096
Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel
7
2014
Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022
Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone
7
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.
7
2015
Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models. Zbl 07375202
Aizenman, Michael; Duminil-Copin, Hugo
7
2021
Higher order corrections for anisotropic bootstrap percolation. Zbl 1404.60149
Duminil-Copin, Hugo; van Enter, Aernout C. D.; Hulshof, Tim
7
2018
The near-critical planar FK-Ising model. Zbl 1286.82003
Duminil-Copin, Hugo; Garban, Christophe; Pete, Gábor
6
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
6
2020
Macroscopic loops in the loop \(O(n)\) model at Nienhuis’ critical point. Zbl 1477.60137
Duminil-Copin, Hugo; Glazman, Alexander; Peled, Ron; Spinka, Yinon
6
2021
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
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.
5
2012
Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel
5
2017
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
Random currents expansion of the Ising model. Zbl 1403.82005
Duminil-Copin, Hugo
5
2018
The box-crossing property for critical two-dimensional oriented percolation. Zbl 1428.60138
Duminil-Copin, H.; Tassion, Vincent; Teixeira, Augusto
5
2018
Containing internal diffusion limited aggregation. Zbl 1300.60065
Duminil-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 1408.82001
Duminil-Copin, Hugo; Tassion, Vincent
4
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
3
2016
Order/disorder phase transitions: the example of the Potts model. Zbl 1372.82017
Duminil-Copin, Hugo
3
2016
Upper bounds on the percolation correlation length. Zbl 1469.60325
Duminil-Copin, Hugo; Kozma, Gady; Tassion, Vincent
3
2021
Renormalization of crossing probabilities in the planar random-cluster model. Zbl 1482.82034
Duminil-Copin, Hugo; Tassion, Vincent
3
2020
Bridge decomposition of restriction measures. Zbl 1197.82055
Alberts, Tom; Duminil-Copin, Hugo
2
2010
A note on Schramm’s locality conjecture for random-cluster models. Zbl 1446.82006
Duminil-Copin, Hugo; Tassion, Vincent
2
2019
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
2
2020
Sharp threshold phenomena in statistical physics. Zbl 1420.82003
Duminil-Copin, Hugo
2
2019
Sixty years of percolation. Zbl 1453.82034
Duminil-Copin, Hugo
2
2018
Critical point and duality in planar lattice models. Zbl 1391.82006
Beffara, Vincent; Duminil-Copin, Hugo
2
2016
Planar random-cluster model: fractal properties of the critical phase. Zbl 1475.60195
Duminil-Copin, Hugo; Manolescu, Ioan; Tassion, Vincent
2
2021
On the double random current nesting field. Zbl 1428.82010
Duminil-Copin, Hugo; Lis, Marcin
2
2019
Erratum to “Sharp metastability threshold for an anisotropic bootstrap percolation model”. Zbl 1356.60168
Duminil-Copin, Hugo; van Enter, Aernout
1
2016
Limit of the Wulff crystal when approaching criticality for site percolation on the triangular lattic. Zbl 1307.82005
Duminil-Copin, Hugo
1
2013
Brochette percolation. Zbl 1430.60081
Duminil-Copin, Hugo; Hilário, Marcelo R.; Kozma, Gady; Sidoravicius, Vladas
1
2018
Internal diffusion-limited aggregation with uniform starting points. Zbl 1434.82062
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Lucas, Cyrille
1
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
1
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
1
2020
Marginal triviality of the scaling limits of critical 4D Ising and \(\phi_4^4\) models. Zbl 07375202
Aizenman, Michael; Duminil-Copin, Hugo
7
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
6
2021
Upper bounds on the percolation correlation length. Zbl 1469.60325
Duminil-Copin, Hugo; Kozma, Gady; Tassion, Vincent
3
2021
Planar random-cluster model: fractal properties of the critical phase. Zbl 1475.60195
Duminil-Copin, Hugo; Manolescu, Ioan; Tassion, Vincent
2
2021
Lectures on the Ising and Potts models on the hypercubic lattice. Zbl 1447.82007
Duminil-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 1454.82016
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
8
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
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
Renormalization of crossing probabilities in the planar random-cluster model. Zbl 1482.82034
Duminil-Copin, Hugo; Tassion, Vincent
3
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
2
2020
Internal diffusion-limited aggregation with uniform starting points. Zbl 1434.82062
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Lucas, Cyrille
1
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
1
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
1
2020
Sharp phase transition for the random-cluster and Potts models via decision trees. Zbl 1482.82009
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
42
2019
Exponential decay of connection probabilities for subcritical Voronoi percolation in \(\mathbb{R}^d\). Zbl 1478.60259
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
12
2019
Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022
Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone
7
2019
A note on Schramm’s locality conjecture for random-cluster models. Zbl 1446.82006
Duminil-Copin, Hugo; Tassion, Vincent
2
2019
Sharp threshold phenomena in statistical physics. Zbl 1420.82003
Duminil-Copin, Hugo
2
2019
On the double random current nesting field. Zbl 1428.82010
Duminil-Copin, Hugo; Lis, Marcin
2
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
19
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
18
2018
Universality for the random-cluster model on isoradial graphs. Zbl 1414.60076
Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan
11
2018
Higher order corrections for anisotropic bootstrap percolation. Zbl 1404.60149
Duminil-Copin, Hugo; van Enter, Aernout C. D.; Hulshof, Tim
7
2018
Random currents expansion of the Ising model. Zbl 1403.82005
Duminil-Copin, Hugo
5
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
4
2018
Sixty years of percolation. Zbl 1453.82034
Duminil-Copin, Hugo
2
2018
Brochette percolation. Zbl 1430.60081
Duminil-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 1357.82011
Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent
40
2017
The sharp threshold for the Duarte model. Zbl 1454.60141
Bollobás, 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 1359.82007
Duminil-Copin, Hugo; Peled, Ron; Samotij, Wojciech; Spinka, Yinon
11
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
46
2016
Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124
Chelkak, 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 1359.60118
Duminil-Copin, Hugo; Tassion, Vincent
17
2016
The phase transitions of the planar random-cluster and Potts models with \(q \geq 1\) are sharp. Zbl 1356.60167
Duminil-Copin, Hugo; Manolescu, Ioan
16
2016
Conformal invariance of crossing probabilities for the Ising model with free boundary conditions. Zbl 1355.60119
Benoist, Stéphane; Duminil-Copin, Hugo; Hongler, Clément
10
2016
Absence of infinite cluster for critical Bernoulli percolation on slabs. Zbl 1342.82076
Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent
8
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
3
2016
Order/disorder phase transitions: the example of the Potts model. Zbl 1372.82017
Duminil-Copin, Hugo
3
2016
Critical point and duality in planar lattice models. Zbl 1391.82006
Beffara, Vincent; Duminil-Copin, Hugo
2
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
40
2015
Disorder, entropy and harmonic functions. Zbl 1337.60248
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel
23
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.
7
2015
Convergence of Ising interfaces to Schramm’s SLE curves. (Convergence des interfaces d’Ising vers les courbes SLE introduites par Schramm.) Zbl 1294.82007
Chelkak, 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 1288.82006
Beaton, 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 1288.82008
Coquille, Loren; Duminil-Copin, Hugo; Ioffe, Dmitry; Velenik, Yvan
10
2014
Supercritical self-avoiding walks are space-filling. Zbl 1292.60096
Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel
7
2014
The near-critical planar FK-Ising model. Zbl 1286.82003
Duminil-Copin, Hugo; Garban, Christophe; Pete, Gábor
6
2014
Sharp metastability threshold for an anisotropic bootstrap percolation model. Zbl 1356.60166
Duminil-Copin, H.; van Enter, A. C. D.
18
2013
The critical temperature for the Ising model on planar doubly periodic graphs. Zbl 1281.82004
Cimasoni, David; Duminil-Copin, Hugo
18
2013
Parafermionic observables and their applications to planar statistical physics models. Zbl 1298.82001
Duminil-Copin, Hugo
18
2013
Self-avoiding walk is sub-ballistic. Zbl 1277.82027
Duminil-Copin, Hugo; Hammond, Alan
13
2013
Planar percolation with a glimpse of Schramm-Loewner evolution. Zbl 1283.60118
Beffara, Vincent; Duminil-Copin, Hugo
8
2013
Containing internal diffusion limited aggregation. Zbl 1300.60065
Duminil-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 1307.82005
Duminil-Copin, Hugo
1
2013
The sharp threshold for bootstrap percolation in all dimensions. Zbl 1238.60108
Balogh, 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 1257.82014
Beffara, Vincent; Duminil-Copin, Hugo
67
2012
The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\). Zbl 1253.82012
Duminil-Copin, Hugo; Smirnov, Stanislav
52
2012
Lectures on self-avoiding walks. Zbl 1317.60125
Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon
32
2012
Conformal invariance of lattice models. Zbl 1317.60002
Duminil-Copin, Hugo; Smirnov, Stanislav
24
2012
Smirnov’s fermionic observable away from criticality. Zbl 1339.60136
Beffara, 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 1257.82051
Duminil-Copin, H.
5
2012
Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model. Zbl 1227.82015
Duminil-Copin, Hugo; Hongler, Clément; Nolin, Pierre
36
2011
Bridge decomposition of restriction measures. Zbl 1197.82055
Alberts, Tom; Duminil-Copin, Hugo
2
2010
all top 5

Cited by 500 Authors

45 Duminil-Copin, Hugo
17 Tassion, Vincent
14 Grimmett, Geoffrey R.
11 Hammond, Alan
11 Manolescu, Ioan
10 Bollobás, Béla
10 Camia, Federico
10 Hutchcroft, Tom
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
46 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)
314 Statistical mechanics, structure of matter (82-XX)
108 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

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