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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 · Wikidata · ORCID · GND
Awards: EMS Prize (2016)
Documents Indexed: 67 Publications since 2010, including 1 Book

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 724 times in 388 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
61
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
59
2014
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
57
2012
The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\). Zbl 1253.82012
Duminil-Copin, Hugo; Smirnov, Stanislav
43
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
38
2016
Random currents and continuity of Ising model’s spontaneous magnetization. Zbl 1315.82004
Aizenman, Michael; Duminil-Copin, Hugo; Sidoravicius, Vladas
34
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
31
2017
Connection probabilities and RSW-type bounds for the two-dimensional FK Ising model. Zbl 1227.82015
Duminil-Copin, Hugo; Hongler, Clément; Nolin, Pierre
30
2011
Lectures on self-avoiding walks. Zbl 1317.60125
Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon
28
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
20
2015
Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément
17
2016
Sharp metastability threshold for an anisotropic bootstrap percolation model. Zbl 1356.60166
Duminil-Copin, H.; van Enter, A. C. D.
17
2013
The critical temperature for the Ising model on planar doubly periodic graphs. Zbl 1281.82004
Cimasoni, David; Duminil-Copin, Hugo
16
2013
Parafermionic observables and their applications to planar statistical physics models. Zbl 1298.82001
Duminil-Copin, Hugo
15
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
15
2018
Smirnov’s fermionic observable away from criticality. Zbl 1339.60136
Beffara, V.; Duminil-Copin, H.
14
2012
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
13
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
13
2018
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
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
12
2016
Self-avoiding walk is sub-ballistic. Zbl 1277.82027
Duminil-Copin, Hugo; Hammond, Alan
11
2013
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
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
9
2014
The sharp threshold for the Duarte model. Zbl 1454.60141
Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul
9
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
9
2017
Lectures on the Ising and Potts models on the hypercubic lattice. Zbl 1447.82007
Duminil-Copin, Hugo
8
2020
Supercritical self-avoiding walks are space-filling. Zbl 1292.60096
Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel
7
2014
Universality for the random-cluster model on isoradial graphs. Zbl 1414.60076
Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan
7
2018
Higher order corrections for anisotropic bootstrap percolation. Zbl 1404.60149
Duminil-Copin, Hugo; van Enter, Aernout C. D.; Hulshof, Tim
7
2018
Seven-dimensional forest fires. Zbl 1323.60123
Ahlberg, Daniel; Duminil-Copin, Hugo; Kozma, Gady; Sidoravicius, Vladas
6
2015
Planar percolation with a glimpse of Schramm-Loewner evolution. Zbl 1283.60118
Beffara, Vincent; Duminil-Copin, Hugo
6
2013
The near-critical planar FK-Ising model. Zbl 1286.82003
Duminil-Copin, Hugo; Garban, Christophe; Pete, Gábor
6
2014
Absence of infinite cluster for critical Bernoulli percolation on slabs. Zbl 1342.82076
Duminil-Copin, Hugo; Sidoravicius, Vladas; Tassion, Vincent
6
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
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.
5
2015
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
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
Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel
4
2017
Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022
Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone
4
2019
Containing internal diffusion limited aggregation. Zbl 1300.60065
Duminil-Copin, Hugo; Lucas, Cyrille; Yadin, Ariel; Yehudayoff, Amir
3
2013
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
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
3
2018
Bridge decomposition of restriction measures. Zbl 1197.82055
Alberts, Tom; Duminil-Copin, Hugo
2
2010
Order/disorder phase transitions: the example of the Potts model. Zbl 1372.82017
Duminil-Copin, Hugo
2
2016
Critical point and duality in planar lattice models. Zbl 1391.82006
Beffara, Vincent; Duminil-Copin, Hugo
2
2016
A note on Schramm’s locality conjecture for random-cluster models. Zbl 1446.82006
Duminil-Copin, Hugo; Tassion, Vincent
2
2019
Limit of the Wulff crystal when approaching criticality for site percolation on the triangular lattic. Zbl 1307.82005
Duminil-Copin, Hugo
1
2013
On the double random current nesting field. Zbl 1428.82010
Duminil-Copin, Hugo; Lis, Marcin
1
2019
Erratum to “Sharp metastability threshold for an anisotropic bootstrap percolation model”. Zbl 1356.60168
Duminil-Copin, Hugo; van Enter, Aernout
1
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 1454.82016
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
1
2020
Lectures on the Ising and Potts models on the hypercubic lattice. Zbl 1447.82007
Duminil-Copin, Hugo
8
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
1
2020
Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022
Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone
4
2019
A note on Schramm’s locality conjecture for random-cluster models. Zbl 1446.82006
Duminil-Copin, Hugo; Tassion, Vincent
2
2019
On the double random current nesting field. Zbl 1428.82010
Duminil-Copin, Hugo; Lis, Marcin
1
2019
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
15
2018
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
13
2018
Universality for the random-cluster model on isoradial graphs. Zbl 1414.60076
Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan
7
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
3
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
31
2017
The sharp threshold for the Duarte model. Zbl 1454.60141
Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul
9
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
9
2017
Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel
4
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
38
2016
Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément
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
13
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
12
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
6
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
2
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
34
2015
Disorder, entropy and harmonic functions. Zbl 1337.60248
Benjamini, Itai; Duminil-Copin, Hugo; Kozma, Gady; Yadin, Ariel
20
2015
Seven-dimensional forest fires. Zbl 1323.60123
Ahlberg, Daniel; Duminil-Copin, Hugo; Kozma, Gady; Sidoravicius, Vladas
6
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.
5
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
59
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
9
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.
17
2013
The critical temperature for the Ising model on planar doubly periodic graphs. Zbl 1281.82004
Cimasoni, David; Duminil-Copin, Hugo
16
2013
Parafermionic observables and their applications to planar statistical physics models. Zbl 1298.82001
Duminil-Copin, Hugo
15
2013
Self-avoiding walk is sub-ballistic. Zbl 1277.82027
Duminil-Copin, Hugo; Hammond, Alan
11
2013
Planar percolation with a glimpse of Schramm-Loewner evolution. Zbl 1283.60118
Beffara, Vincent; Duminil-Copin, Hugo
6
2013
Containing internal diffusion limited aggregation. Zbl 1300.60065
Duminil-Copin, Hugo; Lucas, Cyrille; Yadin, Ariel; Yehudayoff, Amir
3
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
61
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
57
2012
The connective constant of the honeycomb lattice equals \(\sqrt{2+\sqrt 2}\). Zbl 1253.82012
Duminil-Copin, Hugo; Smirnov, Stanislav
43
2012
Lectures on self-avoiding walks. Zbl 1317.60125
Bauerschmidt, Roland; Duminil-Copin, Hugo; Goodman, Jesse; Slade, Gordon
28
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
30
2011
Bridge decomposition of restriction measures. Zbl 1197.82055
Alberts, Tom; Duminil-Copin, Hugo
2
2010
all top 5

Cited by 424 Authors

42 Duminil-Copin, Hugo
13 Tassion, Vincent
11 Grimmett, Geoffrey R.
10 Hammond, Alan
10 Morris, Robert D.
9 Bollobás, Béla
9 Hutchcroft, Tom
9 Lis, Marcin
9 Manolescu, Ioan
8 Camia, Federico
8 Li, Zhongyang
8 Raoufi, Aran
7 Chelkak, Dmitry
7 Miller, Jason P.
7 Otto, Felix
7 Sidoravicius, Vladas
6 Aizenman, Michael
6 Beffara, Vincent
6 Gravner, Janko
6 Hongler, Clément
6 Newman, Charles Michael
6 Sampaio, Rudini Menezes
6 Smirnov, Stanislav Konstantinovich
6 Spinka, Yinon
6 van Enter, Aernout C. D.
6 Vanneuville, Hugo
5 Garban, Christophe
5 Guttmann, Anthony John
5 Slade, Gordon
5 Smith, Paul
5 Taggi, Lorenzo
5 Vigoda, Eric
5 Wilson, David Bruce
5 Yadin, Ariel
4 Blanca, Antonio
4 de Tilière, Béatrice
4 Fischer, Julian
4 Flores, Steven M.
4 Glazman, Alexander
4 Hartarsky, Ivailo
4 Holroyd, Alexander E.
4 Izyurov, Konstantin
4 Kleban, Peter
4 Koshida, Shinji
4 Marcilon, Thiago
4 Nitzschner, Maximilian
4 Ott, Sébastien
4 Peltola, Eveliina
4 Sakai, Akira
4 Štefankovič, Daniel
4 Toninelli, Cristina
4 Uzzell, Andrew J.
4 Warzel, Simone
4 Watson, Samuel S.
4 Werner, Wendelin
3 Ahlberg, Daniel
3 Balister, Paul N.
3 Balogh, József
3 Bauerschmidt, Roland
3 Bella, Peter
3 Betz, Volker
3 Bousquet-Mélou, Mireille
3 Galanis, Andreas
3 Gheissari, Reza
3 Goswami, Subhajit
3 Heydenreich, Markus
3 Janson, Svante
3 Kemppainen, Antti
3 Kiss, Demeter
3 Kytölä, Kalle
3 Lawler, Gregory Francis
3 Lubetzky, Eyal
3 Morrison, Natasha
3 Noel, Jonathan Andrew
3 Peled, Ron
3 Rivera, Alejandro
3 Sun, Nike
3 Teixeira, Augusto Quadros
3 Velenik, Yvan
2 Angel, Omer
2 Beaton, Nicholas R.
2 Beekenkamp, Thomas
2 Benevides, Fabricio Siqueira
2 Benjamini, Itai
2 Berestycki, Nathanaël
2 Biskup, Marek
2 Björnberg, Jakob Erik
2 Boutillier, Cédric
2 Brydges, David C.
2 Campos, Victor A.
2 Chiarini, Alberto
2 Coquille, Loren
2 de Gier, Jan
2 Ding, Jian
2 Dourado, Mitre C.
2 Duplantier, Bertrand
2 Elçi, Eren Metin
2 Fehrman, Benjamin J.
2 Fountoulakis, Nikolaos
2 Ganguly, Shirshendu
...and 324 more Authors
all top 5

Cited in 73 Serials

52 Communications in Mathematical Physics
40 Journal of Statistical Physics
39 Probability Theory and Related Fields
32 The Annals of Probability
19 Electronic Journal of Probability
15 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
9 Journal of Mathematical Physics
8 Discrete Mathematics
8 The Annals of Applied Probability
8 Stochastic Processes and their Applications
6 Journal of Combinatorial Theory. Series A
6 Combinatorics, Probability and Computing
6 Annals of Mathematics. Second Series
5 Transactions of the American Mathematical Society
5 SIAM Journal on Discrete Mathematics
5 Journal of Physics A: Mathematical and Theoretical
5 Probability Surveys
4 Inventiones Mathematicae
4 Random Structures & Algorithms
4 Journal of High Energy Physics
4 Annales Henri Poincaré
3 Communications on Pure and Applied Mathematics
3 Discrete Applied Mathematics
3 European Journal of Combinatorics
3 The Electronic Journal of Combinatorics
3 Electronic Communications in Probability
3 ALEA. Latin American Journal of Probability and Mathematical Statistics
3 Annales Henri Lebesgue
2 Advances in Applied Probability
2 Information Processing Letters
2 Israel Journal of Mathematics
2 Letters in Mathematical Physics
2 Nuclear Physics. B
2 Duke Mathematical Journal
2 Theoretical Computer Science
2 Statistics & Probability Letters
2 Journal of the American Mathematical Society
2 Geometric and Functional Analysis. GAFA
2 Communications in Partial Differential Equations
2 SIAM Journal on Mathematical Analysis
2 Bernoulli
2 Journal of the European Mathematical Society (JEMS)
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Forum of Mathematics, Pi
2 Annales de l’Institut Henri Poincaré D. Combinatorics, Physics and their Interactions (AIHPD)
1 Physics Reports
1 Rocky Mountain Journal of Mathematics
1 Reviews in Mathematical Physics
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 Combinatorica
1 Discrete & Computational Geometry
1 Journal of Theoretical Probability
1 L’Enseignement Mathématique. 2e Série
1 Indagationes Mathematicae. New Series
1 Journal of Algebraic Combinatorics
1 The Journal of Fourier Analysis and Applications
1 Taiwanese Journal of Mathematics
1 Probability in the Engineering and Informational Sciences
1 Milan Journal of Mathematics
1 Journal of Statistical Mechanics: Theory and Experiment
1 Oberwolfach Reports
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 41 Fields

278 Probability theory and stochastic processes (60-XX)
254 Statistical mechanics, structure of matter (82-XX)
81 Combinatorics (05-XX)
33 Quantum theory (81-XX)
19 Computer science (68-XX)
17 Partial differential equations (35-XX)
14 Dynamical systems and ergodic theory (37-XX)
9 Measure and integration (28-XX)
8 Functions of a complex variable (30-XX)
6 Group theory and generalizations (20-XX)
3 Nonassociative rings and algebras (17-XX)
3 Potential theory (31-XX)
3 Special functions (33-XX)
3 Abstract harmonic analysis (43-XX)
3 Operator theory (47-XX)
3 Statistics (62-XX)
3 Numerical analysis (65-XX)
3 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Biology and other natural sciences (92-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Number theory (11-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Associative rings and algebras (16-XX)
2 Difference and functional equations (39-XX)
2 Approximations and expansions (41-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Relativity and gravitational theory (83-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Algebraic geometry (14-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Geometry (51-XX)
1 Convex and discrete geometry (52-XX)
1 Differential geometry (53-XX)
1 Manifolds and cell complexes (57-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Information and communication theory, circuits (94-XX)

Citations by Year

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