Alain Pajor

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All published works

Action	Title	Year	Authors
+ PDF Chat	On the interval of fluctuation of the singular values of random matrices	2017	Olivier Guédon Alexander E. Litvak Alain Pajor Nicole Tomczak-Jaegermann
+	A Remark on Measures of Sections of $$\boldsymbol{L}_{p}$$ -balls	2017	Alexander Koldobsky Alain Pajor
+	Inequalities of the Kahane-Khinchin type and sections of L-p-balls	2017	Alexander Koldobsky Alain Pajor
+	A remark on measures of sections of $L_p$-balls	2016	Alexander Koldobsky Alain Pajor
+ PDF Chat	The central limit theorem for linear eigenvalue statistics of the sum of independent random matrices of rank one	2014	Olivier Guédon Anna Lytova Alain Pajor L. А. Pastur
+	Restricted isometry property for random matrices with heavy-tailed columns	2014	Olivier Guédon Alexander E. Litvak Alain Pajor Nicole Tomczak-Jaegermann
+	Restricted isometry property for random matrices with heavy-tailed columns.	2014	Olivier Guédon Alexander E. Litvak Alain Pajor Nicole Tomczak-Jaegermann
+ PDF Chat	Thin-shell concentration for convex measures	2014	Matthieu Fradelizi Olivier Guédon Alain Pajor
+	The Central Limit Theorem for Linear Eigenvalue Statistics of the Sum of Rank One Projections on Vectors with Log-concave Distribution	2013	Olivier Guédon Anna Lytova Alain Pajor L. А. Pastur
+ PDF Chat	Tail estimates for norms of sums of log-concave random vectors	2013	Radosław Adamczak Rafał Latała Alexander E. Litvak Alain Pajor Nicole Tomczak-Jaegermann
+	Thin-shell concentration for convex measures	2013	Matthieu Fradelizi Olivier Guédon Alain Pajor
+	Spherical thin-shell concentration for convex measures	2013	Matthieu Fradelizi Olivier Guédon Alain Pajor
+	The Central Limit Theorem for Linear Eigenvalue Statistics of the Sum of Independent Matrices of Rank One	2013	Olivier Guédon Anna Lytova Alain Pajor L. А. Pastur
+	Thin-shell concentration for convex measures	2013	Matthieu Fradelizi Olivier Guédon Alain Pajor
+	Interactions between compressed sensing, random matrices, and high dimensional geometry	2012	Djalil Chafaï Olivier Guédon Guillaume Lecué Alain Pajor
+ PDF Chat	A Short Proof of Paouris' Inequality	2012	Radosław Adamczak Rafał Latała Alexander E. Litvak Krzysztof Oleszkiewicz Alain Pajor Nicole Tomczak-Jaegermann
+ PDF Chat	Moment estimates for convex measures	2012	Radosław Adamczak Olivier Guédon Rafał Latała Alexander E. Litvak Krzysztof Oleszkiewicz Alain Pajor Nicole Tomczak-Jaegermann
+ PDF Chat	Chevet type inequality and norms of submatrices	2012	Radosław Adamczak Rafał Latała Alexander E. Litvak Alain Pajor Nicole Tomczak-Jaegermann
+ PDF Chat	Geometry of log-concave ensembles of random matrices and approximate reconstruction	2011	Radosław Adamczak Rafał Latała Alexander E. Litvak Alain Pajor Nicole Tomczak-Jaegermann
+ PDF Chat	Condition number of a square matrix with i.i.d. columns drawn from a convex body	2011	Radosław Adamczak Olivier Guédon Alexander E. Litvak Alain Pajor Nicole Tomczak-Jaegermann
+ PDF Chat	Sharp bounds on the rate of convergence of the empirical covariance matrix	2011	Radosław Adamczak Alexander E. Litvak Alain Pajor Nicole Tomczak-Jaegermann
+	The Gelfand widths of l p -balls for 0<p≤1	2010	Simon Foucart Alain Pajor Holger Rauhut Tino Ullrich
+ PDF Chat	Restricted Isometry Property of Matrices with Independent Columns and Neighborly Polytopes by Random Sampling	2010	Radosław Adamczak Alexander E. Litvak Alain Pajor Nicole Tomczak-Jaegermann
+	The Gelfand widths of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msub><mml:mrow><mml:mi>ℓ</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msub></mml:math>-balls for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" display="inline" overflow="scroll"><mml:mn>0</mml:mn><mml:mo><</mml:mo><mml:mi>p</mml:mi><mml:mo>≤</mml:mo><mml:mn>1</mml:mn></mml:math>	2010	Simon Foucart Alain Pajor Holger Rauhut Tino Ullrich
+	The Gelfand widths of $\ell_p$-balls for $0<p\leq 1$	2010	Simon Foucart Alain Pajor Holger Rauhut Tino Ullrich
+	Sharp bounds on the rate of convergence of the empirical covariance matrix	2010	Radosław Adamczak Alexander E. Litvak Alain Pajor Nicole Tomczak-Jaegermann
+ PDF Chat	Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles	2009	Radosław Adamczak Alexander E. Litvak Alain Pajor Nicole Tomczak-Jaegermann
+ PDF Chat	On the limiting empirical measure of eigenvalues of the sum of rank one matrices with log-concave distribution	2009	Alain Pajor L. А. Pastur
+ PDF Chat	Majorizing measures and proportional subsets of bounded orthonormal systems	2008	Olivier Guédon Shahar Mendelson Alain Pajor Nicole Tomczak-Jaegermann
+	Smallest singular value of random matrices with independent columns	2008	Radosław Adamczak Olivier Guédon A. G. Litvak Alain Pajor Nicole Tomczak-Jaegermann
+	Uniform Uncertainty Principle for Bernoulli and Subgaussian Ensembles	2008	Shahar Mendelson Alain Pajor Nicole Tomczak-Jaegermann
+ PDF Chat	Inequalities of the Kahane–Khinchin type and sections of L<sub>p</sub>-balls	2008	Alexander Koldobsky Alain Pajor Vladyslav Yaskin
+	Majorizing measures and proportional subsets of bounded orthonormal systems	2008	Olivier Guédon Shahar Mendelson Alain Pajor Nicole Tomczak-Jaegermann
+	Reconstruction and Subgaussian Operators in Asymptotic Geometric Analysis	2007	Shahar Mendelson Alain Pajor Nicole Tomczak-Jaegermann
+	Gaussian averages of interpolated bodies and applications to approximate reconstruction	2007	Y. Gordon Alexander E. Litvak Shahar Mendelson Alain Pajor
+	On the Euclidean Metric Entropy of Convex Bodies	2007	Alexander E. Litvak Vitali Milman Alain Pajor Nicole Tomczak-Jaegermann
+ PDF Chat	Subspaces and Orthogonal Decompositions Generated by Bounded Orthogonal Systems	2007	Olivier Guédon Shahar Mendelson Alain Pajor Nicole Tomczak-Jaegermann
+ PDF Chat	A note on subgaussian estimates for linear functionals on convex bodies	2007	Apostolos Giannopoulos Alain Pajor Grigoris Paouris
+ PDF Chat	Random ε-nets and embeddings in l<sup>N</sup><sub>∞</sub>	2007	Y. Gordon Alexander E. Litvak Alain Pajor Nicole Tomczak-Jaegermann
+	On the Limiting Empirical Measure of the sum of rank one matrices with log-concave distribution	2007	Alain Pajor L. А. Pastur
+	Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space	2006	Vitali Milman Alain Pajor
+	On the duality problem for entropy numbers of operators	2006	Jean Bourgain Alain Pajor Stanisław J. Szarek Nicole Tomczak-Jaegermann
+	On santaló's inequality	2006	Mathieu Meyer Alain Pajor
+ PDF Chat	On singular values of matrices with independent rows	2006	Shahar Mendelson Alain Pajor
+ PDF Chat	Entropy extension	2006	Alexander E. Litvak Vitali Milman Alain Pajor Nicole Tomczak-Jaegermann
+	A note on subgaussian estimates for linear functionals on convex bodies	2006	Apostolos Giannopoulos Alain Pajor Grigoris Paouris
+	Uniform uncertainty principle for Bernoulli and subgaussian ensembles	2006	Shahar Mendelson Alain Pajor Nicole Tomczak-Jaegermann
+	Euclidean embeddings in spaces of finite volume ratio via random matrices	2005	Alexander E. Litvak Alain Pajor Mark Rudelson Nicole Tomczak-Jaegermann Roman Vershynin
+ PDF Chat	Diameters of sections and coverings of convex bodies	2005	Alexander E. Litvak Alain Pajor Nicole Tomczak-Jaegermann
+ PDF Chat	The Geometry of Random {-1,1}-Polytopes	2005	Shahar Mendelson Alain Pajor Mark Rudelson
+ PDF Chat	Reconstruction and subgaussian processes	2005	Shahar Mendelson Alain Pajor Nicole Tomczak-Jaegermann
+	Ellipsoid Approximation Using Random Vectors	2005	Shahar Mendelson Alain Pajor
+	Reconstruction and subgaussian operators	2005	Shahar Mendelson Alain Pajor Nicole Tomczak-Jaegermann
+	Smallest singular value of random matrices and geometry of random polytopes	2004	A.E. Litvak Alain Pajor Mark Rudelson Nicole Tomczak-Jaegermann
+ PDF Chat	John's Decomposition in the General Case and Applications	2004	Y. Gordon Alexander E. Litvak M. Meyer Alain Pajor
+ PDF Chat	Random Euclidean embeddings in spaces of bounded volume ratio	2004	Alexander E. Litvak Alain Pajor Mark Rudelson Nicole Tomczak-Jaegermann Roman Vershynin
+	Essential Uniqueness of an M-Ellipsoid of a Given Convex Body	2004	Vitali Milman Alain Pajor
+ PDF Chat	Regularization of star bodies by random hyperplane cut off	2003	Vitali Milman Alain Pajor
+ PDF Chat	Gelfand numbers and metric entropy of convex hulls in Hilbert spaces	2003	Bernd Carl Aicke Hinrichs Alain Pajor
+ PDF Chat	Random Euclidean sections of some classical Banach spaces	2002	Y. Gordon Olivier Guédon M. Meyer Alain Pajor
+	Entropy and Asymptotic Geometry of Non-Symmetric Convex Bodies	2000	Vitali Milman Alain Pajor
+	Metric Entropy of Convex Hulls in Banach Spaces	1999	Bernd Carl Ioanna Kyrezi Alain Pajor
+	Entropy methods in asymptotic convex geometry	1999	Vitali Milman Alain Pajor
+ PDF Chat	The Flatness Theorem for Nonsymmetric Convex Bodies via the Local Theory of Banach Spaces	1999	Wojciech Banaszczyk Alexander E. Litvak Alain Pajor Stanisław J. Szarek
+	The covering numbers and “low 𝑀*-estimate" for quasi-convex bodies	1999	A. G. Litvak Vitali Milman Alain Pajor
+	The isotropy constants of the Schatten classes are bounded	1998	Hermann König M. Meyer Alain Pajor
+	Metric Entropy of the Grassmann Manifold	1998	Alain Pajor
+ PDF Chat	Ratios of volumes and factorization through $l_{\infty}$	1996	Y. Gordon M. Meyer Alain Pajor
+	Covering numbers and ``low $M^{*}$-estimate'' for quasi-convex bodies	1996	Alexander E. Litvak Vitali Milman Alain Pajor
+	Zeros of analytic functions and norms of inverse matrices	1994	E. D. Gluskin M. Meyer Alain Pajor
+	Convex bodies with few faces	1992	Keith Ball Alain Pajor
+	The entropy of convex bodies with ‘few’ extreme points	1991	Keith Ball Alain Pajor
+ PDF Chat	Convex Bodies with Few Faces	1990	Keith Ball Alain Pajor
+	On the Blaschke-Santal� inequality	1990	Mathieu Meyer Alain Pajor
+ PDF Chat	Convex bodies with few faces	1990	Keith Ball Alain Pajor
+	Gelfand Numbers and Euclidean Sections of Large Dimensions	1990	Alain Pajor Nicole Tomczak-Jaegermann
+	Volume ratio and other s-numbers of operators related to local properties of Banach spaces	1989	Alain Pajor Nicole Tomczak-Jaegermann
+	Gelfand numbers of operators with values in a Hilbert space	1988	Bernd Carl Alain Pajor
+	Sections of the unit ball of Ipn	1988	Mathieu Meyer Alain Pajor
+	On a geometric inequality	1988	Jean Bourgain M. Meyer Vitali Milman Alain Pajor
+	Quotient Volumique et Espaces de Banach de Type 2 Faible	1987	Alain Pajor
+ PDF Chat	Subspaces of Small Codimension of Finite-Dimensional Banach Spaces	1986	Alain Pajor Nicole Tomczak-Jaegermann
+ PDF Chat	Subspaces of small codimension of finite-dimensional Banach spaces	1986	Alain Pajor Nicole Tomczak-Jaegermann

Common Coauthors

Coauthor	Papers Together
Nicole Tomczak-Jaegermann	34
Alexander E. Litvak	23
Olivier Guédon	18
Shahar Mendelson	12
Radosław Adamczak	11
Vitali Milman	10
Rafał Latała	5
L. А. Pastur	5
M. Meyer	5
Y. Gordon	5
Mark Rudelson	4
Keith Ball	4
Alexander Koldobsky	4
Matthieu Fradelizi	4
Simon Foucart	3
Bernd Carl	3
Tino Ullrich	3
Holger Rauhut	3
Anna Lytova	3
Mathieu Meyer	3
Krzysztof Oleszkiewicz	2
Roman Vershynin	2
Stanisław J. Szarek	2
A. G. Litvak	2
Apostolos Giannopoulos	2
Jean Bourgain	2
Grigoris Paouris	2
Hermann König	1
Vladyslav Yaskin	1
Djalil Chafaï	1
Guillaume Lecué	1
A.E. Litvak	1
Aicke Hinrichs	1
Ioanna Kyrezi	1
M. Meyer	1
E. D. Gluskin	1
Wojciech Banaszczyk	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The Volume of Convex Bodies and Banach Space Geometry	1989	Gilles Pisier	26
+ PDF Chat	Asymptotic Theory of Finite Dimensional Normed Spaces	1986	Vitali Milman Gideon Schechtman	17
+	Isotropic position and inertia ellipsoids and zonoids of the unit ball of a normed n-dimensional space	2006	Vitali Milman Alain Pajor	16
+ PDF Chat	Subspaces of small codimension of finite-dimensional Banach spaces	1986	Alain Pajor Nicole Tomczak-Jaegermann	16
+ PDF Chat	Concentration of mass on convex bodies	2006	Grigoris Paouris	14
+ PDF Chat	Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces	1985	Bernd Carl	13
+	Random subspaces of proportional dimension of finite dimensional normed spaces: Approach through the isoperimetric inequality	1985	Vitali Milman	11
+ PDF Chat	Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?	2006	Emmanuel J. Candès Terence Tao	11
+	Gelfand numbers of operators with values in a Hilbert space	1988	Bernd Carl Alain Pajor	11
+	Smallest singular value of random matrices and geometry of random polytopes	2004	A.E. Litvak Alain Pajor Mark Rudelson Nicole Tomczak-Jaegermann	10
+ PDF Chat	Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles	2009	Radosław Adamczak Alexander E. Litvak Alain Pajor Nicole Tomczak-Jaegermann	10
+	Entropy numbers, s-numbers, and eigenvalue problems	1981	Bernd Carl	10
+ PDF Chat	Convex measures on locally convex spaces	1974	Christer Borell	10
+	Weak Convergence and Empirical Processes	1996	Aad van der Vaart Jon A. Wellner	10
+	Banach-Mazur Distances and Finite-Dimensional Operator Ideals	1989	Nicole Tomczak-Jaegermann N.Tomczak Jagermann	10
+ PDF Chat	Decoding by Linear Programming	2005	Emmanuel J. Candès Terence Tao	9
+	Entropy numbers of diagonal operators between symmetric Banach spaces	1984	Carsten Schütt	9
+ PDF Chat	Power-law estimates for the central limit theorem for convex sets	2007	Bo’az Klartag	8
+	Convex set functions ind-space	1975	Christer Borell	8
+ PDF Chat	Restricted Isometry Property of Matrices with Independent Columns and Neighborly Polytopes by Random Sampling	2010	Radosław Adamczak Alexander E. Litvak Alain Pajor Nicole Tomczak-Jaegermann	8
+	Banach spaces with a weak cotype 2 property	1986	Vitali Milman Gilles Pisier	8
+ PDF Chat	Almost Euclidean quotient spaces of subspaces of a finite-dimensional normed space	1985	Vitali Milman	8
+	Some inequalities for Gaussian processes and applications	1985	Y. Gordon	8
+	NORMS OF RANDOM MATRICES AND WIDTHS OF FINITE-DIMENSIONAL SETS	1984	E. D. Gluskin	7
+ PDF Chat	Stable signal recovery from incomplete and inaccurate measurements	2006	Emmanuel J. Candès Justin Romberg Terence Tao	7
+ PDF Chat	Logarithmically concave functions and sections of convex sets in $R^{n}$	1988	Keith Ball	7
+	New volume ratio properties for convex symmetric bodies in ? n	1987	Jean Bourgain Vitali Milman	7
+ PDF Chat	Probability in Banach Spaces	1976	Michel Ledoux Michel Talagrand	7
+	Local Operator Theory, Random Matrices and Banach Spaces	2001	Kenneth R. Davidson Stanisław J. Szarek	7
+ PDF Chat	The Concentration of Measure Phenomenon	2005	Michel Ledoux	7
+	Random Points in Isotropic Convex Sets	1998	Jean Bourgain	7
+	Sampling convex bodies: a random matrix approach	2006	Guillaume Aubrun	7
+ PDF Chat	Approximation of zonoids by zonotopes	1989	Jean Bourgain Joram Lindenstrauss Vitali Milman	7
+ PDF Chat	Regularization of star bodies by random hyperplane cut off	2003	Vitali Milman Alain Pajor	7
+	Random walks and anO*(n5) volume algorithm for convex bodies	1997	Ravi Kannan L�szl� Lov�sz Mikl�s Simonovits	6
+ PDF Chat	Regularity of gaussian processes	1987	Michel Talagrand	6
+	On convex perturbations with a bounded isotropic constant	2006	Bo’az Klartag	6
+	Small ball probability estimates for log-concave measures	2011	Grigoris Paouris	6
+	The difference body of a convex body	1957	C. A. Rogers G. C. Shephard	6
+ PDF Chat	A geometric inequality with applications to linear forms	1979	Jeffrey D. Vaaler	6
+	The Brunn-Minkowski inequality in Gauss space	1975	Christer Borell	6
+ PDF Chat	The dimension of almost spherical sections of convex bodies	1977	T. Figiel Joram Lindenstrauss Vitali Milman	6
+	Concentration Property on Probability Spaces	2000	Apostolos Giannopoulos Vitali Milman	6
+	Reconstruction and Subgaussian Operators in Asymptotic Geometric Analysis	2007	Shahar Mendelson Alain Pajor Nicole Tomczak-Jaegermann	6
+	On nearly euclidean decomposition for some classes of Banach spaces	1980	Stanisłlaw Szarek Nicole Tomczak-Jaegermann	6
+	Probability in Banach Spaces: Isoperimetry and Processes	1991	Michel Ledoux Michel Talagrand	6
+ PDF Chat	Limit of the Smallest Eigenvalue of a Large Dimensional Sample Covariance Matrix	1993	Zhidong Bai Yanqing Yin	6
+ PDF Chat	A Simple Proof of the Restricted Isometry Property for Random Matrices	2008	Richard G. Baraniuk Mark A. Davenport Ronald DeVore Michael B. Wakin	6
+ PDF Chat	A central limit theorem for convex sets	2007	Bo’az Klartag	6
+	On Milman's inequality and random subspaces which escape through a mesh in ℝ n	1988	Y. Gordon	6