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## Duminil-Copin, Hugo

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 Author ID: duminil-copin.hugo Published as: Duminil-Copin, H.; Duminil-Copin, Hugo Homepage: http://www.ihes.fr/~duminil/ External Links: MGP · Wikidata · ORCID · GND Awards: EMS Prize (2016) · New Horizons in Mathematics Prize (2017)
 Documents Indexed: 64 Publications since 2010, including 1 Book
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#### Co-Authors

 10 single-authored 13 Tassion, Vincent 6 Kozma, Gady 6 Sidoravicius, Vladas 5 Beffara, Vincent 5 Manolescu, Ioan 5 Raoufi, Aran 4 Hongler, Clément 4 Smirnov, Stanislav Konstantinovich 4 Yadin, Ariel 3 Aizenman, Michael 3 Benjamini, Itai 3 Hammond, Alan 3 van Enter, Aernout C. D. 2 Bollobás, Béla 2 Chelkak, Dmitry 2 Ioffe, Dmitry 2 Lucas, Cyrille 2 Morris, Robert D. 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 Gagnebin, Maxime 1 Ganguly, Shirshendu 1 Garban, Christophe 1 Glazman, Alexander 1 Goodman, Jesse 1 Goswami, Subhajit 1 Guttmann, Anthony John 1 Harel, Matan 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 Peled, Ron 1 Peres, Yuval 1 Pete, Gábor 1 Samotij, Wojciech 1 Slade, Gordon 1 Smith, Paul 1 Spinka, Yinon 1 Teixeira, Augusto Quadros 1 Yehudayoff, Amir
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#### Serials

 9 Communications in Mathematical Physics 9 The Annals of Probability 7 Probability Theory and Related Fields 5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 3 Electronic Journal of Probability 2 Communications on Pure and Applied Mathematics 2 Electronic Communications in Probability 2 Annals of Mathematics. Second Series 2 Journal of Physics A: Mathematical and Theoretical 2 Probability Surveys 1 Israel Journal of Mathematics 1 Journal of Statistical Physics 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 Annales Henri Poincaré 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

 54 Statistical mechanics, structure of matter (82-XX) 49 Probability theory and stochastic processes (60-XX) 3 Functions of a complex variable (30-XX) 2 Group theory and generalizations (20-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-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

54 Publications have been cited 696 times in 355 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
Convergence of Ising interfaces to Schramm’s SLE curves. Zbl 1294.82007
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément; Kemppainen, Antti; Smirnov, Stanislav
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
2012
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
Random currents and continuity of Ising model’s spontaneous magnetization. Zbl 1315.82004
Aizenman, Michael; Duminil-Copin, Hugo; Sidoravicius, Vladas
2015
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
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
Sharp phase transition for the random-cluster and Potts models via decision trees. Zbl 07003145
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
2019
Conformal invariance of lattice models. Zbl 1317.60002
Duminil-Copin, Hugo; Smirnov, Stanislav
2012
Crossing probabilities in topological rectangles for the critical planar FK-Ising model. Zbl 1341.60124
Chelkak, Dmitry; Duminil-Copin, Hugo; Hongler, Clément
2016
Disorder, entropy and harmonic functions. Zbl 1337.60248
2015
Sharp metastability threshold for an anisotropic bootstrap percolation model. Zbl 1356.60166
Duminil-Copin, H.; van Enter, A. C. D.
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
Parafermionic observables and their applications to planar statistical physics models. Zbl 1298.82001
Duminil-Copin, Hugo
2013
The critical temperature for the Ising model on planar doubly periodic graphs. Zbl 1281.82004
Cimasoni, David; Duminil-Copin, Hugo
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
2016
Smirnov’s fermionic observable away from criticality. Zbl 1339.60136
Beffara, V.; Duminil-Copin, H.
2012
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
Conformal invariance of crossing probabilities for the Ising model with free boundary conditions. Zbl 1355.60119
Benoist, Stéphane; Duminil-Copin, Hugo; Hongler, Clément
2016
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
Self-avoiding walk is sub-ballistic. Zbl 1277.82027
Duminil-Copin, Hugo; Hammond, Alan
2013
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
The sharp threshold for the Duarte model. Zbl 06838119
Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul
2017
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
Exponential decay of connection probabilities for subcritical Voronoi percolation in $$\mathbb {R}^d$$. Zbl 07030876
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
2019
Higher order corrections for anisotropic bootstrap percolation. Zbl 1404.60149
Duminil-Copin, Hugo; van Enter, Aernout C. D.; Hulshof, Tim
2018
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
On the critical parameters of the $$q \geqslant 4$$ random-cluster model on isoradial graphs. Zbl 1342.82018
Beffara, V.; Duminil-Copin, H.; Smirnov, S.
2015
Seven-dimensional forest fires. Zbl 1323.60123
2015
Supercritical self-avoiding walks are space-filling. Zbl 1292.60096
2014
Universality for the random-cluster model on isoradial graphs. Zbl 1414.60076
Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan
2018
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
The near-critical planar FK-Ising model. Zbl 1286.82003
Duminil-Copin, Hugo; Garban, Christophe; Pete, Gábor
2014
Random currents expansion of the Ising model. Zbl 1403.82005
Duminil-Copin, Hugo
2018
The box-crossing property for critical two-dimensional oriented percolation. Zbl 1428.60138
Duminil-Copin, H.; Tassion, Vincent; Teixeira, Augusto
2018
Planar percolation with a glimpse of Schramm-Loewner evolution. Zbl 1283.60118
Beffara, Vincent; Duminil-Copin, Hugo
2013
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
Emergent planarity in two-dimensional Ising models with finite-range interactions. Zbl 1417.82022
Aizenman, Michael; Duminil-Copin, Hugo; Tassion, Vincent; Warzel, Simone
2019
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
Containing internal diffusion limited aggregation. Zbl 1300.60065
Duminil-Copin, Hugo; Lucas, Cyrille; Yadin, Ariel; Yehudayoff, Amir
2013
Lectures on the Ising and Potts models on the hypercubic lattice. Zbl 1447.82007
Duminil-Copin, Hugo
2020
Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature. Zbl 07178350
Duminil-Copin, Hugo; Goswami, Subhajit; Raoufi, Aran
2020
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
Minimal growth harmonic functions on lamplighter groups. Zbl 1374.60146
2017
Order/disorder phase transitions: the example of the Potts model. Zbl 1372.82017
Duminil-Copin, Hugo
2016
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
On the double random current nesting field. Zbl 1428.82010
Duminil-Copin, Hugo; Lis, Marcin
2019
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
Limit of the Wulff crystal when approaching criticality for site percolation on the triangular lattic. Zbl 1307.82005
Duminil-Copin, Hugo
2013
Lectures on the Ising and Potts models on the hypercubic lattice. Zbl 1447.82007
Duminil-Copin, Hugo
2020
Exponential decay of truncated correlations for the Ising model in any dimension for all but the critical temperature. Zbl 07178350
Duminil-Copin, Hugo; Goswami, Subhajit; Raoufi, Aran
2020
Sharp phase transition for the random-cluster and Potts models via decision trees. Zbl 07003145
Duminil-Copin, Hugo; Raoufi, Aran; Tassion, Vincent
2019
Exponential decay of connection probabilities for subcritical Voronoi percolation in $$\mathbb {R}^d$$. Zbl 07030876
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
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
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
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
Higher order corrections for anisotropic bootstrap percolation. Zbl 1404.60149
Duminil-Copin, Hugo; van Enter, Aernout C. D.; Hulshof, Tim
2018
Universality for the random-cluster model on isoradial graphs. Zbl 1414.60076
Duminil-Copin, Hugo; Li, Jhih-Huang; Manolescu, Ioan
2018
Random currents expansion of the Ising model. Zbl 1403.82005
Duminil-Copin, Hugo
2018
The box-crossing property for critical two-dimensional oriented percolation. Zbl 1428.60138
Duminil-Copin, H.; Tassion, Vincent; Teixeira, Augusto
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
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
The sharp threshold for the Duarte model. Zbl 06838119
Bollobás, Béla; Duminil-Copin, Hugo; Morris, Robert; Smith, Paul
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
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
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
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
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
On the critical parameters of the $$q \geqslant 4$$ random-cluster model on isoradial graphs. Zbl 1342.82018
Beffara, V.; Duminil-Copin, H.; Smirnov, S.
2015
Seven-dimensional forest fires. Zbl 1323.60123
2015
Convergence of Ising interfaces to Schramm’s SLE curves. 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
Parafermionic observables and their applications to planar statistical physics models. Zbl 1298.82001
Duminil-Copin, Hugo
2013
The critical temperature for the Ising model on planar doubly periodic graphs. Zbl 1281.82004
Cimasoni, David; 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
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#### Cited by 416 Authors

 39 Duminil-Copin, Hugo 13 Tassion, Vincent 11 Grimmett, Geoffrey R. 10 Hammond, Alan 10 Morris, Robert D. 9 Bollobás, Béla 9 Li, Zhongyang 8 Camia, Federico 8 Lis, Marcin 7 Hutchcroft, Tom 7 Manolescu, Ioan 7 Miller, Jason P. 7 Otto, Felix 7 Raoufi, Aran 7 Sidoravicius, Vladas 6 Chelkak, Dmitry 6 Gravner, Janko 6 Hongler, Clément 6 Newman, Charles Michael 6 Sampaio, Rudini Menezes 6 Smirnov, Stanislav Konstantinovich 6 van Enter, Aernout C. D. 5 Aizenman, Michael 5 Beffara, Vincent 5 Garban, Christophe 5 Slade, Gordon 5 Smith, Paul 5 Spinka, Yinon 5 Vanneuville, Hugo 5 Vigoda, Eric 5 Wilson, David Bruce 4 Biskup, Marek 4 Blanca, Antonio 4 Fischer, Julian 4 Flores, Steven M. 4 Guttmann, Anthony John 4 Holroyd, Alexander E. 4 Izyurov, Konstantin 4 Kleban, Peter 4 Koshida, Shinji 4 Marcilon, Thiago 4 Nitzschner, Maximilian 4 Ott, Sébastien 4 Sakai, Akira 4 Štefankovič, Daniel 4 Taggi, Lorenzo 4 Toninelli, Cristina 4 Uzzell, Andrew J. 4 Warzel, Simone 4 Werner, Wendelin 4 Yadin, Ariel 3 Ahlberg, Daniel 3 Balister, Paul N. 3 Balogh, József 3 Bella, Peter 3 Betz, Volker 3 Bousquet-Mélou, Mireille 3 de Tilière, Béatrice 3 Galanis, Andreas 3 Gheissari, Reza 3 Hartarsky, Ivailo 3 Janson, Svante 3 Kemppainen, Antti 3 Kiss, Demeter 3 Kytölä, Kalle 3 Lawler, Gregory Francis 3 Lubetzky, Eyal 3 Peltola, Eveliina 3 Sun, Nike 3 Teixeira, Augusto Quadros 3 Velenik, Yvan 3 Watson, Samuel S. 2 Angel, Omer 2 Bauerschmidt, Roland 2 Beaton, Nicholas R. 2 Benevides, Fabricio Siqueira 2 Benjamini, Itai 2 Berestycki, Nathanaël 2 Björnberg, Jakob Erik 2 Boutillier, Cédric 2 Brydges, David C. 2 Campos, Victor A. 2 Chiarini, Alberto 2 Coquille, Loren 2 Ding, Jian 2 Dourado, Mitre C. 2 Elçi, Eren Metin 2 Fehrman, Benjamin J. 2 Fountoulakis, Nikolaos 2 Ganguly, Shirshendu 2 Garoni, Timothy M. 2 Goswami, Subhajit 2 Handa, Satoshi 2 Heydenreich, Markus 2 Hulshof, Tim 2 Ioffe, Dmitry 2 Jiang, Jianping 2 Junge, Matthew 2 Kang, Mihyun 2 Kenyon, Richard W. ...and 316 more Authors
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#### Cited in 71 Serials

 47 Communications in Mathematical Physics 36 Journal of Statistical Physics 36 Probability Theory and Related Fields 29 The Annals of Probability 13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 13 Electronic Journal of Probability 9 Journal of Mathematical Physics 8 The Annals of Applied Probability 8 Stochastic Processes and their Applications 7 Discrete Mathematics 7 Journal of Physics A: Mathematical and Theoretical 6 Journal of Combinatorial Theory. Series A 5 Transactions of the American Mathematical Society 5 Annals of Mathematics. Second Series 5 Probability Surveys 4 SIAM Journal on Discrete Mathematics 4 Random Structures & Algorithms 4 Combinatorics, Probability and Computing 4 Annales Henri Poincaré 3 Communications on Pure and Applied Mathematics 3 Discrete Applied Mathematics 3 Inventiones Mathematicae 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 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 High Energy Physics 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 Duke Mathematical Journal 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 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Algebraic Combinatorics 1 Taiwanese Journal of Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Probability in the Engineering and Informational Sciences 1 Milan Journal of Mathematics 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
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#### Cited in 40 Fields

 251 Probability theory and stochastic processes (60-XX) 231 Statistical mechanics, structure of matter (82-XX) 77 Combinatorics (05-XX) 30 Quantum theory (81-XX) 17 Computer science (68-XX) 16 Partial differential equations (35-XX) 11 Dynamical systems and ergodic theory (37-XX) 8 Functions of a complex variable (30-XX) 7 Measure and integration (28-XX) 5 Group theory and generalizations (20-XX) 4 Potential theory (31-XX) 4 Statistics (62-XX) 3 Nonassociative rings and algebras (17-XX) 3 Abstract harmonic analysis (43-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 General and overarching topics; collections (00-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Number theory (11-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 2 Operations research, mathematical programming (90-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-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)

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