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Breuillard, Emmanuel

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Author ID: breuillard.emmanuel Recent zbMATH articles by "Breuillard, Emmanuel"
Published as: Breuillard, Emmanuel; Breuillard, E.
Further Spellings: Breuillard, Emmanuel Francois
Homepage: https://www.dpmms.cam.ac.uk/people/efjb2/
External Links: MGP · Wikidata · dblp · GND · IdRef · theses.fr
Awards: EMS Prize (2012)

Publications by Year

Citations contained in zbMATH Open

47 Publications have been cited 656 times in 468 Documents Cited by Year
Approximate subgroups of linear groups. Zbl 1229.20045
Breuillard, Emmanuel; Green, Ben; Tao, Terence
64
2011
The structure of approximate groups. Zbl 1260.20062
Breuillard, Emmanuel; Green, Ben; Tao, Terence
54
2012
\(C^*\)-simplicity and the unique trace property for discrete groups. Zbl 1391.46071
Breuillard, Emmanuel; Kalantar, Mehrdad; Kennedy, Matthew; Ozawa, Narutaka
53
2017
On dense free subgroups of Lie groups. Zbl 1014.22007
Breuillard, E.; Gelander, T.
43
2003
A topological Tits alternative. Zbl 1149.20039
Breuillard, Emmanuel; Gelander, Tsachik
39
2007
Geometry of locally compact groups of polynomial growth and shape of large balls. Zbl 1310.22005
Breuillard, Emmanuel
38
2014
On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry. Zbl 1294.53041
Breuillard, Emmanuel; Le Donne, Enrico
24
2013
Uniform independence in linear groups. Zbl 1148.20029
Breuillard, E.; Gelander, T.
21
2008
Strongly dense free subgroups of semisimple algebraic groups. Zbl 1266.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
21
2012
Expansion in finite simple groups of Lie type. Zbl 1331.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
18
2015
On uniform exponential growth for solvable groups. Zbl 1147.20027
Breuillard, Emmanuel
16
2007
Approximate groups. II: The solvable linear case. Zbl 1275.11022
Breuillard, Emmanuel; Green, Ben
15
2011
Strong uniform expansion in \(\text{SL}(2,p)\). Zbl 1253.20051
Breuillard, Emmanuel; Gamburd, Alex
15
2010
Approximate groups. I: The torsion-free nilpotent case. Zbl 1272.11025
Breuillard, Emmanuel; Green, Ben
15
2011
Local limit theorems and equidistribution of random walks on the Heisenberg group. Zbl 1083.60008
Breuillard, E.
15
2005
A height gap theorem for finite subsets of \(\mathrm{GL}_{d}(\overline{\mathbb{Q}})\) and nonamenable subgroups. Zbl 1243.11071
Breuillard, Emmanuel
14
2011
From random walks to rough paths. Zbl 1179.60017
Breuillard, Emmanuel; Friz, Peter; Huesmann, Martin
14
2009
Dense embeddings of surface groups. Zbl 1132.22011
Breuillard, Emmanuel; Gelander, Tsachik; Souto, Juan; Storm, Peter
14
2006
Diophantine approximations and local limit theorem in \(\mathbb R^d\). (Distributions diophantiennes et théorème limite local sur \(\mathbb R^d\).) Zbl 1079.60050
Breuillard, E.
13
2005
Suzuki groups as expanders. Zbl 1247.20017
Breuillard, Emmanuel; Green, Ben; Tao, Terence
12
2011
Nilprogressions and groups with moderate growth. Zbl 1377.20029
Breuillard, Emmanuel; Tointon, Matthew C. H.
10
2016
Entropy of Bernoulli convolutions and uniform exponential growth for linear groups. Zbl 1442.37016
Breuillard, Emmanuel; Varjú, Péter P.
9
2020
Small doubling in groups. Zbl 1333.11028
Breuillard, Emmanuel; Green, Ben; Tao, Terence
9
2013
Irreducibility of random polynomials of large degree. Zbl 1459.11079
Breuillard, Emmanuel; Varjú, Péter P.
8
2019
On the dimension of Bernoulli convolutions. Zbl 1429.28010
Breuillard, Emmanuel; Varjú, Péter P.
8
2019
Heights on \(\mathrm{SL}_2\) and free subgroups. Zbl 1261.20047
Breuillard, Emmanuel
8
2011
Linear approximate groups. Zbl 1201.20044
Breuillard, Emmanuel; Green, Ben; Tao, Terence
7
2010
On metric Diophantine approximation in matrices and Lie groups. (Approximation diophantienne métrique dans les matrices et les groupes de Lie.) Zbl 1325.11073
Aka, Menny; Breuillard, Emmanuel; Rosenzweig, Lior; de Saxcé, Nicolas
7
2015
Diophantine properties of nilpotent Lie groups. Zbl 1332.22011
Aka, Menny; Breuillard, Emmanuel; Rosenzweig, Lior; de Saxcé, Nicolas
7
2015
Lattice points and discrete groups: from analysis to dynamical systems (with an appendix of Emmanuel Breuillard). (Points entiers et groupes discretes: de l’analyse aux systèmes dynamiques.) Zbl 1077.11071
Babillot, Martine
6
2002
Cheeger constant and algebraic entropy of linear groups. Zbl 1148.20030
Breuillard, Emmanuel; Gelander, Tsachik
6
2005
Diophantine approximation on matrices and Lie groups. Zbl 1440.11134
Aka, Menny; Breuillard, Emmanuel; Rosenzweig, Lior; de Saxcé, Nicolas
6
2018
Approximate groups. III: The unitary case. Zbl 1281.20061
Breuillard, Emmanuel; Green, Ben
6
2012
A nilpotent Freiman dimension lemma. Zbl 1294.22004
Breuillard, Emmanuel; Green, Ben; Tao, Terence
6
2013
Equidistribution of dense subgroups on nilpotent Lie groups. Zbl 1194.22012
Breuillard, Emmanuel
5
2010
A brief introduction to approximate groups. Zbl 1384.20040
Breuillard, Emmanuel
5
2014
On conjugacy growth of linear groups. Zbl 1278.20064
Breuillard, Emmanuel; Cornulier, Yves; Lubotzky, Alexander; Meiri, Chen
5
2013
On conjugacy growth for solvable groups. Zbl 1231.20032
Breuillard, Emmanuel; de Cornulier, Yves
5
2010
The joint spectrum. Zbl 1472.15010
Breuillard, Emmanuel; Sert, Cagri
5
2021
Diophantine geometry and uniform growth of finite and infinite groups. Zbl 1373.22019
Breuillard, Emmanuel
4
2014
Approximate subgroups and super-strong approximation. Zbl 1365.11010
Breuillard, Emmanuel
4
2015
Lectures on approximate groups and Hilbert’s 5th problem. Zbl 1407.11019
Breuillard, Emmanuel
2
2016
Thin groups and superstrong approximation. Selected papers based on the presentations at the workshop held at MSRI, Berkeley, CA, USA, February 6–10, 2012. Zbl 1326.20001
2
2014
Cut-off phenomenon for the \(ax+b\) Markov chain over a finite field. Zbl 1500.60041
Breuillard, Emmanuel; Varjú, Péter P.
1
2022
Expander graphs, property \((\tau)\) and approximate groups. Zbl 1440.20010
Breuillard, Emmanuel
1
2014
Contractions and expansion. Zbl 1364.11027
Breuillard, Emmanuel; Green, Ben
1
2013
On the joint spectral radius for isometries of non-positively curved spaces and uniform growth. (Sur le rayon spectral joint pour les groupes d’isométries des espaces à courbure négative ou nulle et la croissance uniforme.) Zbl 07362105
Breuillard, Emmanuel; Fujiwara, Koji
1
2021
Cut-off phenomenon for the \(ax+b\) Markov chain over a finite field. Zbl 1500.60041
Breuillard, Emmanuel; Varjú, Péter P.
1
2022
The joint spectrum. Zbl 1472.15010
Breuillard, Emmanuel; Sert, Cagri
5
2021
On the joint spectral radius for isometries of non-positively curved spaces and uniform growth. (Sur le rayon spectral joint pour les groupes d’isométries des espaces à courbure négative ou nulle et la croissance uniforme.) Zbl 07362105
Breuillard, Emmanuel; Fujiwara, Koji
1
2021
Entropy of Bernoulli convolutions and uniform exponential growth for linear groups. Zbl 1442.37016
Breuillard, Emmanuel; Varjú, Péter P.
9
2020
Irreducibility of random polynomials of large degree. Zbl 1459.11079
Breuillard, Emmanuel; Varjú, Péter P.
8
2019
On the dimension of Bernoulli convolutions. Zbl 1429.28010
Breuillard, Emmanuel; Varjú, Péter P.
8
2019
Diophantine approximation on matrices and Lie groups. Zbl 1440.11134
Aka, Menny; Breuillard, Emmanuel; Rosenzweig, Lior; de Saxcé, Nicolas
6
2018
\(C^*\)-simplicity and the unique trace property for discrete groups. Zbl 1391.46071
Breuillard, Emmanuel; Kalantar, Mehrdad; Kennedy, Matthew; Ozawa, Narutaka
53
2017
Nilprogressions and groups with moderate growth. Zbl 1377.20029
Breuillard, Emmanuel; Tointon, Matthew C. H.
10
2016
Lectures on approximate groups and Hilbert’s 5th problem. Zbl 1407.11019
Breuillard, Emmanuel
2
2016
Expansion in finite simple groups of Lie type. Zbl 1331.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
18
2015
On metric Diophantine approximation in matrices and Lie groups. (Approximation diophantienne métrique dans les matrices et les groupes de Lie.) Zbl 1325.11073
Aka, Menny; Breuillard, Emmanuel; Rosenzweig, Lior; de Saxcé, Nicolas
7
2015
Diophantine properties of nilpotent Lie groups. Zbl 1332.22011
Aka, Menny; Breuillard, Emmanuel; Rosenzweig, Lior; de Saxcé, Nicolas
7
2015
Approximate subgroups and super-strong approximation. Zbl 1365.11010
Breuillard, Emmanuel
4
2015
Geometry of locally compact groups of polynomial growth and shape of large balls. Zbl 1310.22005
Breuillard, Emmanuel
38
2014
A brief introduction to approximate groups. Zbl 1384.20040
Breuillard, Emmanuel
5
2014
Diophantine geometry and uniform growth of finite and infinite groups. Zbl 1373.22019
Breuillard, Emmanuel
4
2014
Thin groups and superstrong approximation. Selected papers based on the presentations at the workshop held at MSRI, Berkeley, CA, USA, February 6–10, 2012. Zbl 1326.20001
2
2014
Expander graphs, property \((\tau)\) and approximate groups. Zbl 1440.20010
Breuillard, Emmanuel
1
2014
On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry. Zbl 1294.53041
Breuillard, Emmanuel; Le Donne, Enrico
24
2013
Small doubling in groups. Zbl 1333.11028
Breuillard, Emmanuel; Green, Ben; Tao, Terence
9
2013
A nilpotent Freiman dimension lemma. Zbl 1294.22004
Breuillard, Emmanuel; Green, Ben; Tao, Terence
6
2013
On conjugacy growth of linear groups. Zbl 1278.20064
Breuillard, Emmanuel; Cornulier, Yves; Lubotzky, Alexander; Meiri, Chen
5
2013
Contractions and expansion. Zbl 1364.11027
Breuillard, Emmanuel; Green, Ben
1
2013
The structure of approximate groups. Zbl 1260.20062
Breuillard, Emmanuel; Green, Ben; Tao, Terence
54
2012
Strongly dense free subgroups of semisimple algebraic groups. Zbl 1266.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
21
2012
Approximate groups. III: The unitary case. Zbl 1281.20061
Breuillard, Emmanuel; Green, Ben
6
2012
Approximate subgroups of linear groups. Zbl 1229.20045
Breuillard, Emmanuel; Green, Ben; Tao, Terence
64
2011
Approximate groups. II: The solvable linear case. Zbl 1275.11022
Breuillard, Emmanuel; Green, Ben
15
2011
Approximate groups. I: The torsion-free nilpotent case. Zbl 1272.11025
Breuillard, Emmanuel; Green, Ben
15
2011
A height gap theorem for finite subsets of \(\mathrm{GL}_{d}(\overline{\mathbb{Q}})\) and nonamenable subgroups. Zbl 1243.11071
Breuillard, Emmanuel
14
2011
Suzuki groups as expanders. Zbl 1247.20017
Breuillard, Emmanuel; Green, Ben; Tao, Terence
12
2011
Heights on \(\mathrm{SL}_2\) and free subgroups. Zbl 1261.20047
Breuillard, Emmanuel
8
2011
Strong uniform expansion in \(\text{SL}(2,p)\). Zbl 1253.20051
Breuillard, Emmanuel; Gamburd, Alex
15
2010
Linear approximate groups. Zbl 1201.20044
Breuillard, Emmanuel; Green, Ben; Tao, Terence
7
2010
Equidistribution of dense subgroups on nilpotent Lie groups. Zbl 1194.22012
Breuillard, Emmanuel
5
2010
On conjugacy growth for solvable groups. Zbl 1231.20032
Breuillard, Emmanuel; de Cornulier, Yves
5
2010
From random walks to rough paths. Zbl 1179.60017
Breuillard, Emmanuel; Friz, Peter; Huesmann, Martin
14
2009
Uniform independence in linear groups. Zbl 1148.20029
Breuillard, E.; Gelander, T.
21
2008
A topological Tits alternative. Zbl 1149.20039
Breuillard, Emmanuel; Gelander, Tsachik
39
2007
On uniform exponential growth for solvable groups. Zbl 1147.20027
Breuillard, Emmanuel
16
2007
Dense embeddings of surface groups. Zbl 1132.22011
Breuillard, Emmanuel; Gelander, Tsachik; Souto, Juan; Storm, Peter
14
2006
Local limit theorems and equidistribution of random walks on the Heisenberg group. Zbl 1083.60008
Breuillard, E.
15
2005
Diophantine approximations and local limit theorem in \(\mathbb R^d\). (Distributions diophantiennes et théorème limite local sur \(\mathbb R^d\).) Zbl 1079.60050
Breuillard, E.
13
2005
Cheeger constant and algebraic entropy of linear groups. Zbl 1148.20030
Breuillard, Emmanuel; Gelander, Tsachik
6
2005
On dense free subgroups of Lie groups. Zbl 1014.22007
Breuillard, E.; Gelander, T.
43
2003
Lattice points and discrete groups: from analysis to dynamical systems (with an appendix of Emmanuel Breuillard). (Points entiers et groupes discretes: de l’analyse aux systèmes dynamiques.) Zbl 1077.11071
Babillot, Martine
6
2002
all top 5

Cited by 574 Authors

21 Breuillard, Emmanuel
10 Varjú, Péter Pál
9 Gelander, Tsachik
9 Tao, Terence
8 Tointon, Matthew C. H.
7 De Saxcé, Nicolas
7 Helfgott, Harald Andrés
7 Le Donne, Enrico
6 Kalantar, Mehrdad
6 Tessera, Romain
5 Aoun, Richard
5 Biswas, Arindam
5 Bourgain, Jean
5 de Cornulier, Yves
5 Friz, Peter Karl
5 Gill, Nick
5 Green, Ben Joseph
5 Longobardi, Patrizia
5 Maj, Mercede
5 Salehi Golsefidy, Alireza
4 Bédos, Erik
4 Besson, Gérard
4 Björklund, Michael
4 Boumaza, Hakim
4 Detinko, Alla S.
4 Dolgopyat, Dmitry
4 Freiman, Gregory A.
4 Gamburd, Alexander
4 Glasner, Yair
4 Hrushovski, Ehud
4 Kunyavskiĭ, Boris Èmmanuilovich
4 Le Boudec, Adrien
4 Omland, Tron Å.
4 Pyber, László
4 Sachkov, Yuriĭ Leonidovich
4 Suzuki, Yuhei
4 Szabó, Endre
3 Abels, Herbert
3 Aka, Menny
3 Ardentov, Andrei A.
3 Atabekyan, Varuzhan S.
3 Bader, Uri
3 Benoist, Yves
3 Chifan, Ionuţ
3 Courtois, Gilles
3 Diaconis, Persi Warren
3 Fish, Alexander
3 Flannery, Dane Laurence
3 Gallot, Sylvestre
3 Guralnick, Robert Michael
3 Hermon, Jonathan
3 Herzog, Marcel
3 Ioana, Adrian
3 Kassabov, Martin
3 Kontorovich, Alex V.
3 Li, Sean
3 Lopusanschi, Olga
3 Lubotzky, Alexander
3 Lyons, Russell
3 Navas, Andrés
3 Nicolussi Golo, Sebastiano
3 Pham, Huy-Tuan
3 Pham, Lam L.
3 Pillay, Anand
3 Quint, Jean-François
3 Rosenzweig, Lior
3 Saha, Jyoti Prakash
3 Sanders, Tom
3 Sapir, Mark Valentinovich
3 Sert, Cagri
3 Skalski, Adam G.
3 Soifer, Grigoriĭ Aleksandrovich
3 Souto, Juan
3 Stanchescu, Yonutz V.
3 Valette, Alain
3 Yang, Lei
2 Abbott, Carolyn R.
2 Abért, Miklós
2 Ali, Entisar Abdul-Latif
2 Amann, Manuel
2 Amrutam, Tattwamasi
2 Bandman, Tatiana M.
2 Bardestani, Mohammad
2 Bary-Soroker, Lior
2 Boutonnet, Rémi
2 Bradford, Henry
2 Briggs, Christopher A.
2 Caprace, Pierre-Emmanuel
2 Charlot, Grégoire
2 Chatterjee, Sourav
2 Chevyrev, Ilya
2 Ciobanu, Laura
2 Coletti, Cristian F.
2 Conant, Gabriel
2 Conti, Roberto
2 Das, Tushar Kanti
2 Dona, Daniele
2 Drimbe, Daniel
2 Duchin, Moon
2 Eberhard, Sean
...and 474 more Authors
all top 5

Cited in 152 Serials

21 Advances in Mathematics
17 Israel Journal of Mathematics
14 Proceedings of the American Mathematical Society
14 Transactions of the American Mathematical Society
13 Geometric and Functional Analysis. GAFA
12 Journal of Algebra
12 Journal of Functional Analysis
10 Inventiones Mathematicae
10 Discrete Analysis
9 Duke Mathematical Journal
9 Geometriae Dedicata
9 Mathematische Annalen
9 Groups, Geometry, and Dynamics
8 Ergodic Theory and Dynamical Systems
8 Probability Theory and Related Fields
8 Journal of the European Mathematical Society (JEMS)
7 Mathematical Proceedings of the Cambridge Philosophical Society
7 Mathematische Zeitschrift
7 Journal of the American Mathematical Society
6 Annals of Mathematics. Second Series
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Journal de l’École Polytechnique – Mathématiques
5 Communications in Algebra
5 Journal d’Analyse Mathématique
5 Annales de l’Institut Fourier
5 The Annals of Probability
5 European Journal of Combinatorics
5 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
5 Journal of Group Theory
4 Commentarii Mathematici Helvetici
4 Compositio Mathematica
4 Illinois Journal of Mathematics
4 Publications Mathématiques
4 Monatshefte für Mathematik
4 International Journal of Algebra and Computation
4 Stochastic Processes and their Applications
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Geometry & Topology
3 Communications in Mathematical Physics
3 Combinatorica
3 Revista Matemática Iberoamericana
3 Bulletin of the American Mathematical Society. New Series
3 Expositiones Mathematicae
3 Journal of Algebraic Combinatorics
3 Electronic Journal of Probability
3 Journal of Modern Dynamics
3 Bulletin of Mathematical Sciences
3 Forum of Mathematics, Sigma
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal of Mathematical Analysis and Applications
2 Journal of Statistical Physics
2 Nonlinearity
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Journal of Combinatorial Theory. Series A
2 Topology and its Applications
2 Discrete & Computational Geometry
2 Journal of Theoretical Probability
2 The Annals of Applied Probability
2 The Journal of Geometric Analysis
2 Designs, Codes and Cryptography
2 L’Enseignement Mathématique. 2e Série
2 Journal of Mathematical Sciences (New York)
2 Selecta Mathematica. New Series
2 Discrete and Continuous Dynamical Systems
2 Transformation Groups
2 Mathematical Physics, Analysis and Geometry
2 Acta Mathematica Sinica. English Series
2 Journal of Dynamical and Control Systems
2 Central European Journal of Mathematics
2 Journal of Topology
2 Journal of Topology and Analysis
2 International Journal of Group Theory
2 Analysis and Geometry in Metric Spaces
1 International Journal of Modern Physics B
1 Mathematical Notes
1 Russian Mathematical Surveys
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
1 Acta Arithmetica
1 Algebra and Logic
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Applied Mathematics and Optimization
1 Archiv der Mathematik
1 Fundamenta Mathematicae
1 Indiana University Mathematics Journal
1 Integral Equations and Operator Theory
1 Journal of Number Theory
1 Journal für die Reine und Angewandte Mathematik
1 Manuscripta Mathematica
1 Mathematika
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Notre Dame Journal of Formal Logic
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Siberian Mathematical Journal
1 Advances in Applied Mathematics
1 Note di Matematica
1 Acta Mathematica Hungarica
...and 52 more Serials
all top 5

Cited in 46 Fields

225 Group theory and generalizations (20-XX)
126 Topological groups, Lie groups (22-XX)
95 Number theory (11-XX)
82 Dynamical systems and ergodic theory (37-XX)
65 Probability theory and stochastic processes (60-XX)
62 Combinatorics (05-XX)
51 Functional analysis (46-XX)
46 Differential geometry (53-XX)
31 Abstract harmonic analysis (43-XX)
30 Manifolds and cell complexes (57-XX)
28 Measure and integration (28-XX)
15 Nonassociative rings and algebras (17-XX)
13 Mathematical logic and foundations (03-XX)
13 Algebraic geometry (14-XX)
10 Harmonic analysis on Euclidean spaces (42-XX)
10 Operator theory (47-XX)
10 Convex and discrete geometry (52-XX)
10 General topology (54-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 Linear and multilinear algebra; matrix theory (15-XX)
8 Calculus of variations and optimal control; optimization (49-XX)
8 Geometry (51-XX)
8 Computer science (68-XX)
6 Associative rings and algebras (16-XX)
6 Real functions (26-XX)
6 Quantum theory (81-XX)
6 Information and communication theory, circuits (94-XX)
5 Functions of a complex variable (30-XX)
5 Several complex variables and analytic spaces (32-XX)
4 Field theory and polynomials (12-XX)
3 \(K\)-theory (19-XX)
3 Partial differential equations (35-XX)
2 General and overarching topics; collections (00-XX)
2 Commutative algebra (13-XX)
2 Potential theory (31-XX)
2 Numerical analysis (65-XX)
2 Systems theory; control (93-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 General algebraic systems (08-XX)
1 Category theory; homological algebra (18-XX)
1 Special functions (33-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Algebraic topology (55-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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