Emmanuel Breuillard

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All published works

Action	Title	Year	Authors
+ PDF Chat	Undecidability of the stabilizer and zero-in-the-corner problems for matrix groups	2024	Emmanuel Breuillard Georgi Kocharyan
+ PDF	An exposition of Jordan’s original proof of his theorem on finite subgroups of GLn(ℂ)	2023	Emmanuel Breuillard
+	Strongly dense free subgroups of semisimple algebraic groups II	2023	Emmanuel Breuillard Robert M. Guralnick Michael Larsen
+	A subspace theorem for manifolds	2023	Emmanuel Breuillard Nicolas de Saxcé
+	The central limit theorem on nilpotent Lie groups	2023	Timothée Bénard Emmanuel Breuillard
+	Local limit theorems for random walks on nilpotent Lie groups	2023	Timothée Bénard Emmanuel Breuillard
+	An exposition of Jordan's original proof of his theorem on finite subgroups of $\GL_n(\C)$	2023	Emmanuel Breuillard
+ PDF Chat	Cut-off phenomenon for the ax+b Markov chain over a finite field	2022	Emmanuel Breuillard Péter P. Varjú
+	Strongly dense free subgroups of semisimple algebraic groups II	2022	Emmanuel Breuillard Robert M. Guralnick Michael Larsen
+	On the Joint Spectral Radius	2022	Emmanuel Breuillard
+ PDF Chat	A subspace theorem for manifolds	2021	Emmanuel Breuillard Nicolas de Saxcé
+ PDF Chat	A subspace theorem for manifolds	2021	Emmanuel Breuillard Nicolas de Saxcé
+ PDF Chat	A subspace theorem for manifolds	2021	Emmanuel Breuillard Nicolas de Saxcé
+ PDF	On the joint spectral radius for isometries of non-positively curved spaces and uniform growth	2021	Emmanuel Breuillard Koji Fujiwara
+	On the joint spectral radius.	2021	Emmanuel Breuillard
+	Model Theory: Groups, Geometries and Combinatorics	2021	Emmanuel Breuillard Amador Martín-Pizarro Katrin Tent Frank Olaf Wagner
+ PDF Chat	Projective geometries arising from Elekes-Szabó problems	2021	Martin Bays Emmanuel Breuillard
+	A subspace theorem for manifolds	2021	Emmanuel Breuillard Nicolas de Saxcé
+	On the joint spectral radius	2021	Emmanuel Breuillard
+	Groups, Dynamics, and Approximation	2020	Emmanuel Breuillard Alex Furman Nicolas Monod Andreas Thom
+ PDF Chat	The joint spectrum	2020	Emmanuel Breuillard Çağrı Sert
+ PDF Chat	Entropy of Bernoulli convolutions and uniform exponential growth for linear groups	2020	Emmanuel Breuillard Péter P. Varjú
+	Cut-off phenomenon for the ax+b Markov chain over a finite field	2019	Emmanuel Breuillard Péter P. Varjú
+ PDF	On the dimension of Bernoulli convolutions	2019	Emmanuel Breuillard Péter P. Varjú
+ PDF	On the Lehmer conjecture and counting in finite fields	2019	Emmanuel Breuillard Péter P. Varjú
+ PDF	Irreducibility of random polynomials of large degree	2019	Emmanuel Breuillard Péter P. Varjú
+	Cut-off phenomenon for the ax+b Markov chain over a finite field	2019	Emmanuel Breuillard Péter P. Varjú
+	Arbeitsgemeinschaft: Additive Combinatorics, Entropy, and Fractal Geometry	2018	Emmanuel Breuillard Michael Hochman Pablo Shmerkin
+	Irreducibility of random polynomials of large degree	2018	Emmanuel Breuillard Péter P. Varjú
+ PDF	Salem Numbers and the Spectrum of Hyperbolic Surfaces	2018	Emmanuel Breuillard Bertrand Deroin
+	Expansion in simple groups	2018	Emmanuel Breuillard Alexander Lubotzky
+	Projective geometries arising from Elekes-Szab\'o problems	2018	Martin Bays Emmanuel Breuillard
+ PDF	Diophantine approximation on matrices and Lie groups	2018	Menny Aka Emmanuel Breuillard Lior Rosenzweig Nicolas de Saxcé
+	On the joint spectral radius for isometries of non-positively curved spaces and uniform growth	2018	Emmanuel Breuillard Koji Fujiwara
+	Expansion in simple groups	2018	Emmanuel Breuillard Alexander Lubotzky
+ PDF Chat	C*-simplicity and the unique trace property for discrete groups	2017	Emmanuel Breuillard Mehrdad Kalantar Matthew Kennedy Narutaka Ozawa
+	Random unitaries, amenable linear groups and Jordan's theorem	2017	Emmanuel Breuillard Gilles Pisier
+	On the dimension of Bernoulli convolutions	2016	Emmanuel Breuillard Péter P. Varjú
+	Diophantine approximation on matrices and Lie groups	2016	Menny Aka Emmanuel Breuillard Lior Rosenzweig Nicolas de Saxcé
+ PDF Chat	Lectures on approximate groups and Hilbert’s 5th problem	2016	Emmanuel Breuillard
+	Diophantine approximation on matrices and Lie groups	2016	Menny Aka Emmanuel Breuillard Lior Rosenzweig Nicolas de Saxcé
+	Nilprogressions and groups with moderate growth	2015	Emmanuel Breuillard Matthew Tointon
+	Entropy of Bernoulli convolutions and uniform exponential growth for linear groups	2015	Emmanuel Breuillard Péter P. Varjú
+ PDF Chat	Approximate subgroups and super-strong approximation	2015	Emmanuel Breuillard
+	Nilprogressions and groups with moderate growth	2015	Emmanuel Breuillard Matthew Tointon
+ PDF	Expansion in finite simple groups of Lie type	2015	Emmanuel Breuillard Ben J. Green Robert M. Guralnick Terence Tao
+ PDF	On metric Diophantine approximation in matrices and Lie groups	2015	Menny Aka Emmanuel Breuillard Lior Rosenzweig Nicolas de Saxcé
+ PDF	Diophantine properties of nilpotent Lie groups	2015	Menny Aka Emmanuel Breuillard Lior Rosenzweig Nicolas de Saxcé
+	Nilprogressions and groups with moderate growth	2015	Emmanuel Breuillard Matthew Tointon
+	Lectures on approximate groups and Hilbert's 5th problem	2015	Emmanuel Breuillard
+	Expander graphs, property (𝜏) and approximate groups	2014	Emmanuel Breuillard
+	On metric diophantine approximation in matrices and Lie groups	2014	Menny Aka Emmanuel Breuillard Lior Rosenzweig Nicolas de Saxcé
+ PDF Chat	Geometry of locally compact groups of polynomial growth and shape of large balls	2014	Emmanuel Breuillard
+	On metric diophantine approximation in matrices and Lie groups	2014	Menny Aka Emmanuel Breuillard Lior Rosenzweig Nicolas de Saxcé
+	Approximate subgroups and super-strong approximation	2014	Emmanuel Breuillard
+	Thin groups and superstrong approximation	2014	Emmanuel Breuillard Hee Oh
+ PDF Chat	Contractions and expansion	2013	Emmanuel Breuillard Ben Green
+	A nilpotent Freiman dimension lemma	2013	Emmanuel Breuillard Ben Green Terence Tao
+	Expansion in finite simple groups of Lie type	2013	Emmanuel Breuillard Ben Green Robert M. Guralnick Terence Tao
+	Small Doubling in Groups	2013	Emmanuel Breuillard Ben Green Terence Tao
+	Small doubling in groups	2013	Emmanuel Breuillard Ben Green Terence Tao
+ PDF	On the rate of convergence to the asymptotic cone for nilpotent groups and subFinsler geometry	2012	Emmanuel Breuillard Enrico Le Donne
+ PDF Chat	On conjugacy growth of linear groups	2012	Emmanuel Breuillard Yves de Cornulier Alexander Lubotzky Chen Meiri
+ PDF Chat	The structure of approximate groups	2012	Emmanuel Breuillard Ben Green Terence Tao
+ PDF Chat	Strongly dense free subgroups of semisimple algebraic groups	2012	Emmanuel Breuillard Ben Green Robert M. Guralnick Terence Tao
+ PDF	Approximate groups III: the unitary case	2012	Emmanuel Breuillard Ben Green
+	LECTURE 4: APPROXIMATE GROUPS AND THE BOURGAIN-GAMBURD METHOD (PRELIMINARY VERSION)	2012	Emmanuel Breuillard
+	Simply-laced isomonodromy systems . On the functions counting walks with small steps in the quarter plane . The structure of approximate groups . On stably free modules over affine algebras . Perfectoid spaces	2012	Philip Boalch Irina Kurkova Kilian Raschel Emmanuel Breuillard Ben Green Terence Tao Jean Fasel Ravi A. Rao Richard G. Swan Peter Scholze
+ PDF	A height gap theorem for finite subsets of GL_d(Q) and nonamenable subgroups	2011	Emmanuel Breuillard
+ PDF Chat	Approximate Subgroups of Linear Groups	2011	Emmanuel Breuillard Ben Green Terence Tao
+ PDF	Suzuki groups as expanders	2011	Emmanuel Breuillard Ben J. Green Terence Tao
+	A note on approximate subgroups of GL_n(C) and uniformly nonamenable groups	2011	Emmanuel Breuillard Ben Green Terence Tao
+	of GLd(Q) and nonamenable subgroups	2011	Emmanuel Breuillard
+	The structure of approximate groups	2011	Emmanuel Breuillard Ben Green Terence Tao
+	Contractions and expansion	2011	Emmanuel Breuillard Ben Green
+	A nilpotent Freiman dimension lemma	2011	Emmanuel Breuillard Ben Green Terence Tao
+ PDF Chat	Strong Uniform Expansion in SL(2, p)	2010	Emmanuel Breuillard Alex Gamburd
+ PDF	Linear approximate groups	2010	Emmanuel Breuillard Ben Green Terence Tao
+	Approximate groups. I The torsion-free nilpotent case	2010	Emmanuel Breuillard Ben Green
+ PDF Chat	APPROXIMATE GROUPS, II: THE SOLVABLE LINEAR CASE	2010	Emmanuel Breuillard B. Green
+ PDF Chat	On conjugacy growth for solvable groups	2010	Emmanuel Breuillard Yves de Cornulier
+	Linear Approximate Groups	2010	Emmanuel Breuillard Ben Green Terence Tao
+	Suzuki groups as expanders	2010	Emmanuel Breuillard Ben Green Terence Tao
+	Strongly dense free subgroups of semisimple algebraic groups	2010	Emmanuel Breuillard Ben Green Robert M. Guralnick Terence Tao
+	Approximate subgroups of linear groups	2010	Emmanuel Breuillard Ben Green Terence Tao
+ PDF	On conjugacy growth for solvable groups	2010	Emmanuel Breuillard Yves de Cornulier
+	Approximate groups, III: the unitary case	2010	Emmanuel BREUILLAND Emmanuel Breuillard Ben Green
+	On conjugacy growth for solvable groups	2010	Emmanuel Breuillard Yves de Cornulier
+ PDF Chat	Equidistribution of dense subgroups on nilpotent Lie groups	2009	Emmanuel Breuillard
+ PDF	From random walks to rough paths	2009	Emmanuel Breuillard Peter K. Friz Martin Huesmann
+	Strong uniform expansion in $\mathrm{SL}(2,p)$	2009	Emmanuel Breuillard Alex Gamburd
+	Approximate groups, I: the torsion-free nilpotent case	2009	Emmanuel Breuillard Ben Green
+	Approximate groups, II: the solvable linear case	2009	Emmanuel Breuillard Ben Green
+ PDF Chat	Uniform independence in linear groups	2008	Emmanuel Breuillard Tsachik Gelander
+	A Height Gap Theorem For Finite Subsets Of GL_d(\bar{Q}) and Non Amenable Subgroups	2008	Emmanuel Breuillard
+	A Strong Tits Alternative	2008	Emmanuel Breuillard
+	From random walks to rough paths	2008	Emmanuel Breuillard Peter K. Friz Martin Huesmann
+	A Height Gap Theorem For Finite Subsets Of GL_d(\bar{Q}) and Non Amenable Subgroups	2008	Emmanuel Breuillard
+	Equidistribution of Dense Subgroups on Nilpotent Lie Groups	2007	Emmanuel Breuillard
+ PDF	A topological Tits alternative	2007	Emmanuel Breuillard Tsachik Gelander
+	Geometry of Locally Compact Groups of Polynomial Growth and Shape of Large Balls	2007	Emmanuel Breuillard
+ PDF	On Uniform Exponential Growth for Solvable Groups	2007	Emmanuel Breuillard
+	Geometry of Locally Compact Groups of Polynomial Growth and Shape of Large Balls	2007	Emmanuel Breuillard
+	Uniform independence in linear groups	2006	Emmanuel Breuillard Tsachik Gelander
+ PDF	Dense embeddings of surface groups	2006	Emmanuel Breuillard Tsachik Gelander Juan Souto Peter A. Storm
+	On uniform exponential growth for solvable groups	2006	Emmanuel Breuillard
+	Local limit theorems and equidistribution of random walks on the Heisenberg group	2005	Emmanuel Breuillard
+	None	2005	Emmanuel Breuillard Tsachik Gelander
+	Cheeger constant and algebraic entropy of linear groups	2005	Emmanuel Breuillard Tsachik Gelander
+	Distributions diophantiennes et théorème limite local sur $\Bbb R\sp d$. (French) [Diophantine approximations and local limit theorem in $\Bbb R\sp d$]	2005	Emmanuel Breuillard
+ PDF	Distributions diophantiennes et théorème limite local sur	2004	Emmanuel Breuillard
+	A topological Tits alternative	2004	Emmanuel Breuillard Tsachik Gelander
+	On dense free subgroups of Lie groups	2003	Emmanuel Breuillard Tsachik Gelander
+	Marches aléatoires, equirépartition et sous-groupes denses dans les groupes de Lie	2003	Emmanuel Breuillard
+	On dense free subgroups of Lie groups	2002	Emmanuel Breuillard Tsachik Gelander

Common Coauthors

Coauthor	Papers Together
Ben Green	23
Terence Tao	18
Nicolas de Saxcé	12
Péter P. Varjú	10
Tsachik Gelander	9
Lior Rosenzweig	7
Menny Aka	7
Robert M. Guralnick	6
Yves de Cornulier	4
Alexander Lubotzky	3
Matthew Tointon	3
Martin Bays	2
Alex Gamburd	2
Timothée Bénard	2
Peter K. Friz	2
Martin Huesmann	2
Ben J. Green	2
Michael Larsen	2
Koji Fujiwara	2
Bertrand Deroin	1
Enrico Le Donne	1
Emmanuel BREUILLAND	1
Georgi Kocharyan	1
Ravi A. Rao	1
Hee Oh	1
Katrin Tent	1
Irina Kurkova	1
Jean Fasel	1
Richard G. Swan	1
Frank Olaf Wagner	1
Alex Furman	1
Juan Souto	1
Andreas Thom	1
B. Green	1
Matthew Kennedy	1
Çağrı Sert	1
Peter A. Storm	1
Philip Boalch	1
Gilles Pisier	1
Chen Meiri	1
Michael Hochman	1
Mehrdad Kalantar	1
Narutaka Ozawa	1
Kilian Raschel	1
Peter Scholze	1
Amador Martín-Pizarro	1
Nicolas Monod	1
Pablo Shmerkin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Free subgroups in linear groups	1972	Jacques Tits	32
+ PDF Chat	Approximate Subgroups of Linear Groups	2011	Emmanuel Breuillard Ben Green Terence Tao	22
+	DISCRETE SUBGROUPS OF LIE GROUPS	1972	Raghunathan	20
+ PDF Chat	Product set estimates for non-commutative groups	2008	Terence Tao	18
+	Finite subgroups of algebraic groups	2011	Michael Larsen Richard Pink	15
+	Groups of polynomial growth and expanding maps	1981	Mikhael Gromov	15
+ PDF Chat	On uniform exponential growth for linear groups	2005	Alex Eskin Shahar Mozes Hee Oh	15
+	Quasirandom Groups	2008	W. T. Gowers	13
+ PDF	Growth and generation in SL<sub>2</sub>(ℤ∕pℤ)	2008	H. A. Helfgott	13
+ PDF	Uniform expansion bounds for Cayley graphs of SL<sub>2</sub>(𝔽<sub>p</sub>)	2008	Jean Bourgain Alex Gamburd	13
+	A Strong Tits Alternative	2008	Emmanuel Breuillard	12
+	On dense free subgroups of Lie groups	2003	Emmanuel Breuillard Tsachik Gelander	12
+	Linear Algebraic Groups	1975	James E. Humphreys	11
+ PDF Chat	Freiman's theorem in an arbitrary abelian group	2007	Ben Green Imre Z. Ruzsa	11
+	Freiman's theorem for solvable groups	2010	Terence Tao	10
+	Growth in finite simple groups of Lie type of bounded rank	2010	László Pyber Endre Szabó	10
+	Approximate groups. I The torsion-free nilpotent case	2010	Emmanuel Breuillard Ben Green	10
+	None	2009	Alex Gamburd Shlomo Hoory Mehrdad Shahshahani Aner Shalev Bálint Virág	10
+ PDF Chat	Uniform independence in linear groups	2008	Emmanuel Breuillard Tsachik Gelander	10
+	Discrete Subgroups of Lie Groups	1972	M. S. Raghunathan	10
+ PDF	On Uniform Exponential Growth for Solvable Groups	2007	Emmanuel Breuillard	9
+	Heights in Diophantine geometry	2006	Enrico Bombieri Walter Gubler	9
+ PDF Chat	Word maps have large image	2004	Michael Larsen	9
+	On subgroups ofGL n (F p )	1987	Madhav V. Nori	9
+ PDF Chat	APPROXIMATE GROUPS, II: THE SOLVABLE LINEAR CASE	2010	Emmanuel Breuillard B. Green	9
+	Approximate subgroups of linear groups	2010	Emmanuel Breuillard Ben Green Terence Tao	9
+	Linear algebraic groups	1966	Armand Borel	9
+	Symmetric random walks on groups	1959	Harry Kesten	9
+	Stable group theory and approximate subgroups	2009	Ehud Hrushovski	8
+	On the Minimal Degrees of Projective Representations of the Finite Chevalley Groups, II	1993	Gary M. Seitz Alexandre Zalesski	8
+	Stable group theory and approximate subgroups	2011	Ehud Hrushovski	8
+	Generalized arithmetical progressions and sumsets	1994	Imre Z. Ruzsa	8
+ PDF	A topological Tits alternative	2007	Emmanuel Breuillard Tsachik Gelander	8
+ PDF Chat	Infinite groups with large balls of torsion elements and small entropy	2006	Laurent Bartholdi Yves de Cornulier	8
+ PDF Chat	Strong Uniform Expansion in SL(2, p)	2010	Emmanuel Breuillard Alex Gamburd	8
+ PDF	Linear approximate groups	2010	Emmanuel Breuillard Ben Green Terence Tao	7
+	Expansion properties of finite simple groups	2010	Oren Dinai	7
+ PDF	Suzuki groups as expanders	2011	Emmanuel Breuillard Ben J. Green Terence Tao	7
+ PDF	Growth in $\mathrm{SL}_3(ℤ/pℤ)$	2011	H. A. Helfgott	7
+ PDF Chat	On the girth of random Cayley graphs	2009	Alex Gamburd Shlomo Hoory Mehrdad Shahshahani Aner Shalev Bálint Virág	7
+ PDF Chat	The structure of approximate groups	2012	Emmanuel Breuillard Ben Green Terence Tao	7
+ PDF Chat	Finite simple groups as expanders	2006	Martin Kassabov Alexander Lubotzky Nikolay Nikolov	7
+	Growth in finite simple groups of Lie type	2014	László Pyber Endre Szabó	7
+ PDF	Spectra of elements in the group ring of $\mathrm{SU}(2)$	1999	Alex Gamburd Dmitry Jakobson Peter Sarnak	7
+ PDF	Croissance polynomiale et périodes des fonctions harmoniques	1973	Yves Guivarc’h	7
+	Growth in SL_3(Z/pZ)	2008	H. A. Helfgott	7
+	The Degree of Polynomial Growth of Finitely Generated Nilpotent Groups	1972	Hyman Bass	7
+ PDF Chat	Strongly dense free subgroups of semisimple algebraic groups	2012	Emmanuel Breuillard Ben Green Robert M. Guralnick Terence Tao	7
+ PDF	Explicit Kazhdan constants for representations of semisimple and arithmetic groups	2000	Yehuda Shalom	7
+	Growth in finite simple groups of Lie type	2010	László Pyber Endre Szabó	7