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Breuillard, Emmanuel

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Author ID: breuillard.emmanuel Recent zbMATH articles by "Breuillard, Emmanuel"
Published as: Breuillard, E.; Breuillard, Emmanuel
Homepage: https://www.dpmms.cam.ac.uk/people/efjb2/
External Links: MGP · Wikidata · dblp
Awards: EMS Prize (2012)
Documents Indexed: 50 Publications since 2003, including 2 Books

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 505 times in 352 Documents Cited by Year
Approximate subgroups of linear groups. Zbl 1229.20045
Breuillard, Emmanuel; Green, Ben; Tao, Terence
52
2011
On dense free subgroups of Lie groups. Zbl 1014.22007
Breuillard, E.; Gelander, T.
38
2003
The structure of approximate groups. Zbl 1260.20062
Breuillard, Emmanuel; Green, Ben; Tao, Terence
34
2012
\(C^*\)-simplicity and the unique trace property for discrete groups. Zbl 1391.46071
Breuillard, Emmanuel; Kalantar, Mehrdad; Kennedy, Matthew; Ozawa, Narutaka
33
2017
Geometry of locally compact groups of polynomial growth and shape of large balls. Zbl 1310.22005
Breuillard, Emmanuel
33
2014
A topological Tits alternative. Zbl 1149.20039
Breuillard, Emmanuel; Gelander, Tsachik
33
2007
Strongly dense free subgroups of semisimple algebraic groups. Zbl 1266.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
19
2012
Uniform independence in linear groups. Zbl 1148.20029
Breuillard, E.; Gelander, T.
18
2008
On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry. Zbl 1294.53041
Breuillard, Emmanuel; Le Donne, Enrico
17
2013
Approximate groups. II: The solvable linear case. Zbl 1275.11022
Breuillard, Emmanuel; Green, Ben
14
2011
Approximate groups. I: The torsion-free nilpotent case. Zbl 1272.11025
Breuillard, Emmanuel; Green, Ben
14
2011
Strong uniform expansion in \(\text{SL}(2,p)\). Zbl 1253.20051
Breuillard, Emmanuel; Gamburd, Alex
14
2010
On uniform exponential growth for solvable groups. Zbl 1147.20027
Breuillard, Emmanuel
14
2007
From random walks to rough paths. Zbl 1179.60017
Breuillard, Emmanuel; Friz, Peter; Huesmann, Martin
13
2009
Suzuki groups as expanders. Zbl 1247.20017
Breuillard, Emmanuel; Green, Ben; Tao, Terence
12
2011
Dense embeddings of surface groups. Zbl 1132.22011
Breuillard, Emmanuel; Gelander, Tsachik; Souto, Juan; Storm, Peter
12
2006
Local limit theorems and equidistribution of random walks on the Heisenberg group. Zbl 1083.60008
Breuillard, E.
12
2005
Expansion in finite simple groups of Lie type. Zbl 1331.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
11
2015
A height gap theorem for finite subsets of \(\mathrm{GL}_{d}(\overline{\mathbb{Q}})\) and nonamenable subgroups. Zbl 1243.11071
Breuillard, Emmanuel
10
2011
Heights on \(\mathrm{SL}_2\) and free subgroups. Zbl 1261.20047
Breuillard, Emmanuel
7
2011
Linear approximate groups. Zbl 1201.20044
Breuillard, Emmanuel; Green, Ben; Tao, Terence
7
2010
Nilprogressions and groups with moderate growth. Zbl 1377.20029
Breuillard, Emmanuel; Tointon, Matthew C. H.
6
2016
Diophantine properties of nilpotent Lie groups. Zbl 1332.22011
Aka, Menny; Breuillard, Emmanuel; Rosenzweig, Lior; de Saxcé, Nicolas
6
2015
A brief introduction to approximate groups. Zbl 1384.20040
Breuillard, Emmanuel
6
2014
Small doubling in groups. Zbl 1333.11028
Breuillard, Emmanuel; Green, Ben; Tao, Terence
6
2013
Cheeger constant and algebraic entropy of linear groups. Zbl 1148.20030
Breuillard, Emmanuel; Gelander, Tsachik
6
2005
On metric Diophantine approximation in matrices and Lie groups. Zbl 1325.11073
Aka, Menny; Breuillard, Emmanuel; Rosenzweig, Lior; de Saxcé, Nicolas
5
2015
On conjugacy growth of linear groups. Zbl 1278.20064
Breuillard, Emmanuel; Cornulier, Yves; Lubotzky, Alexander; Meiri, Chen
5
2013
Approximate groups. III: The unitary case. Zbl 1281.20061
Breuillard, Emmanuel; Green, Ben
5
2012
On conjugacy growth for solvable groups. Zbl 1231.20032
Breuillard, Emmanuel; de Cornulier, Yves
5
2010
Equidistribution of dense subgroups on nilpotent Lie groups. Zbl 1194.22012
Breuillard, Emmanuel
5
2010
Diophantine approximations and local limit theorem in \(\mathbb R^d\). Zbl 1079.60050
Breuillard, E.
5
2005
Diophantine approximation on matrices and Lie groups. Zbl 1440.11134
Aka, Menny; Breuillard, Emmanuel; Rosenzweig, Lior; de Saxcé, Nicolas
4
2018
Diophantine geometry and uniform growth of finite and infinite groups. Zbl 1373.22019
Breuillard, Emmanuel
4
2014
A nilpotent Freiman dimension lemma. Zbl 1294.22004
Breuillard, Emmanuel; Green, Ben; Tao, Terence
4
2013
Entropy of Bernoulli convolutions and uniform exponential growth for linear groups. Zbl 1442.37016
Breuillard, Emmanuel; Varjú, Péter P.
3
2020
On the dimension of Bernoulli convolutions. Zbl 1429.28010
Breuillard, Emmanuel; Varjú, Péter P.
3
2019
Approximate subgroups and super-strong approximation. Zbl 1365.11010
Breuillard, Emmanuel
3
2015
Irreducibility of random polynomials of large degree. Zbl 1459.11079
Breuillard, Emmanuel; Varjú, Péter P.
2
2019
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
Breuillard, Emmanuel (ed.); Oh, Hee (ed.)
2
2014
Expander graphs, property \((\tau)\) and approximate groups. Zbl 1440.20010
Breuillard, Emmanuel
1
2014
Entropy of Bernoulli convolutions and uniform exponential growth for linear groups. Zbl 1442.37016
Breuillard, Emmanuel; Varjú, Péter P.
3
2020
On the dimension of Bernoulli convolutions. Zbl 1429.28010
Breuillard, Emmanuel; Varjú, Péter P.
3
2019
Irreducibility of random polynomials of large degree. Zbl 1459.11079
Breuillard, Emmanuel; Varjú, Péter P.
2
2019
Diophantine approximation on matrices and Lie groups. Zbl 1440.11134
Aka, Menny; Breuillard, Emmanuel; Rosenzweig, Lior; de Saxcé, Nicolas
4
2018
\(C^*\)-simplicity and the unique trace property for discrete groups. Zbl 1391.46071
Breuillard, Emmanuel; Kalantar, Mehrdad; Kennedy, Matthew; Ozawa, Narutaka
33
2017
Nilprogressions and groups with moderate growth. Zbl 1377.20029
Breuillard, Emmanuel; Tointon, Matthew C. H.
6
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
11
2015
Diophantine properties of nilpotent Lie groups. Zbl 1332.22011
Aka, Menny; Breuillard, Emmanuel; Rosenzweig, Lior; de Saxcé, Nicolas
6
2015
On metric Diophantine approximation in matrices and Lie groups. Zbl 1325.11073
Aka, Menny; Breuillard, Emmanuel; Rosenzweig, Lior; de Saxcé, Nicolas
5
2015
Approximate subgroups and super-strong approximation. Zbl 1365.11010
Breuillard, Emmanuel
3
2015
Geometry of locally compact groups of polynomial growth and shape of large balls. Zbl 1310.22005
Breuillard, Emmanuel
33
2014
A brief introduction to approximate groups. Zbl 1384.20040
Breuillard, Emmanuel
6
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
Breuillard, Emmanuel (ed.); Oh, Hee (ed.)
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
17
2013
Small doubling in groups. Zbl 1333.11028
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
A nilpotent Freiman dimension lemma. Zbl 1294.22004
Breuillard, Emmanuel; Green, Ben; Tao, Terence
4
2013
The structure of approximate groups. Zbl 1260.20062
Breuillard, Emmanuel; Green, Ben; Tao, Terence
34
2012
Strongly dense free subgroups of semisimple algebraic groups. Zbl 1266.20060
Breuillard, Emmanuel; Green, Ben; Guralnick, Robert; Tao, Terence
19
2012
Approximate groups. III: The unitary case. Zbl 1281.20061
Breuillard, Emmanuel; Green, Ben
5
2012
Approximate subgroups of linear groups. Zbl 1229.20045
Breuillard, Emmanuel; Green, Ben; Tao, Terence
52
2011
Approximate groups. II: The solvable linear case. Zbl 1275.11022
Breuillard, Emmanuel; Green, Ben
14
2011
Approximate groups. I: The torsion-free nilpotent case. Zbl 1272.11025
Breuillard, Emmanuel; Green, Ben
14
2011
Suzuki groups as expanders. Zbl 1247.20017
Breuillard, Emmanuel; Green, Ben; Tao, Terence
12
2011
A height gap theorem for finite subsets of \(\mathrm{GL}_{d}(\overline{\mathbb{Q}})\) and nonamenable subgroups. Zbl 1243.11071
Breuillard, Emmanuel
10
2011
Heights on \(\mathrm{SL}_2\) and free subgroups. Zbl 1261.20047
Breuillard, Emmanuel
7
2011
Strong uniform expansion in \(\text{SL}(2,p)\). Zbl 1253.20051
Breuillard, Emmanuel; Gamburd, Alex
14
2010
Linear approximate groups. Zbl 1201.20044
Breuillard, Emmanuel; Green, Ben; Tao, Terence
7
2010
On conjugacy growth for solvable groups. Zbl 1231.20032
Breuillard, Emmanuel; de Cornulier, Yves
5
2010
Equidistribution of dense subgroups on nilpotent Lie groups. Zbl 1194.22012
Breuillard, Emmanuel
5
2010
From random walks to rough paths. Zbl 1179.60017
Breuillard, Emmanuel; Friz, Peter; Huesmann, Martin
13
2009
Uniform independence in linear groups. Zbl 1148.20029
Breuillard, E.; Gelander, T.
18
2008
A topological Tits alternative. Zbl 1149.20039
Breuillard, Emmanuel; Gelander, Tsachik
33
2007
On uniform exponential growth for solvable groups. Zbl 1147.20027
Breuillard, Emmanuel
14
2007
Dense embeddings of surface groups. Zbl 1132.22011
Breuillard, Emmanuel; Gelander, Tsachik; Souto, Juan; Storm, Peter
12
2006
Local limit theorems and equidistribution of random walks on the Heisenberg group. Zbl 1083.60008
Breuillard, E.
12
2005
Cheeger constant and algebraic entropy of linear groups. Zbl 1148.20030
Breuillard, Emmanuel; Gelander, Tsachik
6
2005
Diophantine approximations and local limit theorem in \(\mathbb R^d\). Zbl 1079.60050
Breuillard, E.
5
2005
On dense free subgroups of Lie groups. Zbl 1014.22007
Breuillard, E.; Gelander, T.
38
2003
all top 5

Cited by 460 Authors

18 Breuillard, Emmanuel
8 Tao, Terence
7 Helfgott, Harald Andrés
6 Gelander, Tsachik
6 Le Donne, Enrico
6 Varjú, Péter Pál
5 Bourgain, Jean
5 de Cornulier, Yves
5 De Saxcé, Nicolas
5 Friz, Peter Karl
5 Gill, Nick
5 Green, Ben Joseph
5 Longobardi, Patrizia
5 Maj, Mercede
5 Salehi Golsefidy, Alireza
4 Boumaza, Hakim
4 Detinko, Alla S.
4 Freiman, Gregory A.
4 Gamburd, Alexander
4 Glasner, Yair
4 Kunyavskiĭ, Boris Èmmanuilovich
4 Szabó, Endre
4 Tessera, Romain
4 Tointon, Matthew C. H.
3 Abels, Herbert
3 Aka, Menny
3 Aoun, Richard
3 Bader, Uri
3 Bédos, Erik
3 Benoist, Yves
3 Besson, Gérard
3 Flannery, Dane Laurence
3 Gallot, Sylvestre
3 Hermon, Jonathan
3 Herzog, Marcel
3 Hrushovski, Ehud
3 Ioana, Adrian
3 Kalantar, Mehrdad
3 Kassabov, Martin
3 Kontorovich, Alex V.
3 Le Boudec, Adrien
3 Li, Sean
3 Lopusanschi, Olga
3 Lubotzky, Alexander
3 Navas, Andrés
3 Omland, Tron Å.
3 Pyber, László
3 Rosenzweig, Lior
3 Sachkov, Yuriĭ Leonidovich
3 Sapir, Mark Valentinovich
3 Soifer, Grigoriĭ Aleksandrovich
3 Stanchescu, Yonutz V.
3 Valette, Alain
2 Abbott, Carolyn R.
2 Abért, Miklós
2 Amann, Manuel
2 Ardentov, Andrei A.
2 Atabekyan, Varuzhan S.
2 Bandman, Tatiana M.
2 Bardestani, Mohammad
2 Björklund, Michael
2 Bradford, Henry
2 Briggs, Christopher A.
2 Button, Jack Oliver
2 Caprace, Pierre-Emmanuel
2 Chevyrev, Ilya
2 Chifan, Ionuţ
2 Ciobanu, Laura
2 Coletti, Cristian F.
2 Conti, Roberto
2 Courtois, Gilles
2 Das, Tushar Kanti
2 Diaconis, Persi Warren
2 Duchin, Moon
2 Ershov, Mikhail V.
2 Evetts, Alex
2 Fish, Alexander
2 Furman, Alex
2 Gerhardt, Spencer
2 Giunashvili, Z.
2 Goldbring, Isaac
2 Gordeev, Nikolai L.
2 Guralnick, Robert Michael
2 Haagerup, Uffe Valentin
2 Hall, Chris
2 Hochman, Michael
2 Hulpke, Alexander Jörg
2 Ivanov, Nikolay A.
2 Jaikin-Zapirain, Andrei
2 Karai, Keivan Mallahi
2 Kennedy, Matthew
2 Kowalski, Emmanuel
2 Kozma, Gady
2 Losert, Viktor
2 Lukyanenko, Anton
2 Lyons, Russell
2 Martini, Alessio
2 Meiri, Chen
2 Minsky, Yair N.
2 Monod, Nicolas
...and 360 more Authors
all top 5

Cited in 124 Serials

13 Israel Journal of Mathematics
13 Journal of Algebra
13 Transactions of the American Mathematical Society
12 Advances in Mathematics
12 Journal of Functional Analysis
12 Geometric and Functional Analysis. GAFA
10 Proceedings of the American Mathematical Society
9 Inventiones Mathematicae
7 Duke Mathematical Journal
7 Geometriae Dedicata
7 Mathematische Zeitschrift
6 Mathematische Annalen
6 Ergodic Theory and Dynamical Systems
6 Journal of the American Mathematical Society
6 Journal of the European Mathematical Society (JEMS)
6 Comptes Rendus. Mathématique. Académie des Sciences, Paris
6 Groups, Geometry, and Dynamics
5 Communications in Algebra
5 Mathematical Proceedings of the Cambridge Philosophical Society
5 The Annals of Probability
5 Probability Theory and Related Fields
5 Annals of Mathematics. Second Series
4 Commentarii Mathematici Helvetici
4 Compositio Mathematica
4 European Journal of Combinatorics
4 International Journal of Algebra and Computation
4 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
4 Geometry & Topology
4 Journal de l’École Polytechnique – Mathématiques
3 Journal d’Analyse Mathématique
3 Annales de l’Institut Fourier
3 Illinois Journal of Mathematics
3 Publications Mathématiques
3 Stochastic Processes and their Applications
3 Bulletin of the American Mathematical Society. New Series
3 Expositiones Mathematicae
2 Communications in Mathematical Physics
2 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
2 Journal of Mathematical Analysis and Applications
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Journal of Combinatorial Theory. Series A
2 Monatshefte für Mathematik
2 Topology and its Applications
2 Combinatorica
2 Revista Matemática Iberoamericana
2 The Annals of Applied Probability
2 Designs, Codes and Cryptography
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Journal of Mathematical Sciences (New York)
2 Electronic Journal of Probability
2 Discrete and Continuous Dynamical Systems
2 Mathematical Physics, Analysis and Geometry
2 Journal of Group Theory
2 Journal of Dynamical and Control Systems
2 Central European Journal of Mathematics
2 Journal of Modern Dynamics
2 Journal of Topology
2 Journal of Topology and Analysis
2 Bulletin of Mathematical Sciences
2 International Journal of Group Theory
2 Forum of Mathematics, Sigma
2 Analysis and Geometry in Metric Spaces
1 International Journal of Modern Physics B
1 Journal of Statistical Physics
1 Mathematical Notes
1 Russian Mathematical Surveys
1 Mathematics of Computation
1 Reviews in Mathematical Physics
1 Journal of Geometry and Physics
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 Notre Dame Journal of Formal Logic
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Note di Matematica
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Discrete & Computational Geometry
1 Journal of Theoretical Probability
1 SIAM Journal on Discrete Mathematics
1 Forum Mathematicum
1 The Journal of Geometric Analysis
1 Journal of Contemporary Mathematical Analysis. Armenian Academy of Sciences
1 L’Enseignement Mathématique. 2e Série
1 Proceedings of the National Academy of Sciences of the United States of America
1 Archive for Mathematical Logic
1 Experimental Mathematics
1 Journal of Algebraic Combinatorics
1 Journal de Théorie des Nombres de Bordeaux
1 Advances in Applied Clifford Algebras
1 Finite Fields and their Applications
...and 24 more Serials
all top 5

Cited in 44 Fields

177 Group theory and generalizations (20-XX)
94 Topological groups, Lie groups (22-XX)
71 Number theory (11-XX)
54 Dynamical systems and ergodic theory (37-XX)
49 Probability theory and stochastic processes (60-XX)
44 Combinatorics (05-XX)
34 Functional analysis (46-XX)
33 Differential geometry (53-XX)
29 Abstract harmonic analysis (43-XX)
23 Manifolds and cell complexes (57-XX)
18 Measure and integration (28-XX)
12 Nonassociative rings and algebras (17-XX)
11 Algebraic geometry (14-XX)
10 Mathematical logic and foundations (03-XX)
9 Global analysis, analysis on manifolds (58-XX)
8 Associative rings and algebras (16-XX)
8 Operator theory (47-XX)
8 General topology (54-XX)
8 Quantum theory (81-XX)
7 Convex and discrete geometry (52-XX)
7 Statistical mechanics, structure of matter (82-XX)
6 Geometry (51-XX)
6 Computer science (68-XX)
6 Information and communication theory, circuits (94-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Real functions (26-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
4 Several complex variables and analytic spaces (32-XX)
3 Partial differential equations (35-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Numerical analysis (65-XX)
2 General and overarching topics; collections (00-XX)
2 Potential theory (31-XX)
2 Systems theory; control (93-XX)
1 General algebraic systems (08-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 \(K\)-theory (19-XX)
1 Functions of a complex variable (30-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Integral equations (45-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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