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Litvak, Alexander - Department of Mathematical and Statistical Sciences, University of Alberta
Analyse fonctionnelle/Functional Analysis (Geometrie/Geometry) Averages of norms and behavior of families of
Condition number of a square matrix with i.i.d. columns drawn from a convex body
On the asymmetry constant of a body with few vertices.
Euclidean embeddings in spaces of nite volume ratio via random matrices
Sharp bounds on the rate of convergence of the empirical covariance matrix #
The covering numbers and ``low M # estimate'' for quasiconvex bodies. #
Entropy extension A. E. Litvak V. D. Milman y A. Pajor
JOHN'S DECOMPOSITION IN THE GENERAL CASE AND APPLICATIONS
On the symmetric average of a convex body O. Gu edon A. E. Litvak
Smallest singular value of random matrices and geometry of random polytopes
Geometry of spaces between polytopes and related zonotopes.
Analyse fonctionnelle/Functional Analysis Smallest singular value of random matrices with independent
Random " nets and embeddings in ` Y. Gordon y A. E. Litvak A. Pajor
Essentially-Euclidean convex bodies1 Alexander E. Litvak Vitali D. Milman2
On the symmetric average of a convex body O. Guedon A. E. Litvak
Gaussian averages of interpolated bodies and applications to approximate reconstruction
On the vertex index of convex bodies A. E. Litvak
Entropy extension A. E. Litvak V. D. Milman
Probabilites/Probability Theory Minima of sequences of Gaussian random variables
Geometry of spaces between polytopes and related zonotopes.
The Annals of Probability 2002, Vol. 30, No. 4, 18331853
Houston Journal of Mathematics c University of Houston
Euclidean projections of a p-convex body. O. Guedon, A. E. Litvak
The flatness theorem for non-symmetric convex bodies via the local theory of Banach
On the constant in the reverse Brunn-Minkowski inequality for p-convex balls.
The extension of the finite-dimensional version of Krivine's theorem to quasi-normed spaces.
Averages of norms and quasi-norms A.E. Litvak
Condition number of a square matrix with i.i.d. columns drawn from a convex body
Asymmetry of convex polytopes and vertex index of symmetric convex bodies.
EssentiallyEuclidean convex bodies 1 Alexander E. Litvak Vitali D. Milman 2
Restricted isometry property of matrices with independent columns and neighborly
Uniform estimates for order statistics and Orlicz functions #
ON THE DUAL FORM OF "LOW M -ESTIMATE" IN THE
Condition number of a square matrix with i.i.d. columns drawn from a convex body
Gaussian averages of interpolated bodies and applications to approximate reconstruction
Random nets and embeddings in N A. E. Litvak A. Pajor
Smallest singular value of random matrices and geometry of random polytopes
On the Euclidean metric entropy of convex A. E. Litvak V. D. Milman A. Pajor
The covering numbers and "low M for quasi-convex bodies.
JOHN'S DECOMPOSITION IN THE GENERAL CASE AND APPLICATIONS
Kahane-Khinchin's inequality for quasi-norms. A. E. Litvak
Analyse fonctionnelle/Functional Analysis Probabilites/Probability Theory
Analyse fonctionnelle/Functional Analysis Smallest singular value of random matrices with independent
Diameters of Sections and Coverings of Convex Bodies
On the minimum of several random variables Yehoram Gordon yz Alexander Litvak Carsten Schutt z Elisabeth Werner x
On the vertex index of convex bodies K. Bezdek yz A. E. Litvak z
Isomorphic random subspaces and quotients of convex and quasi-convex bodies.
Covering convex bodies by cylinders and lattice points by flats
Euclidean sections of direct sums of normed A. E. Litvak
Randomized Isomorphic Dvoretzky Theorem Alexander LITVAK1
Sharp bounds on the rate of convergence of the empirical covariance matrix
Random Aspects of High-dimensional Convex A.E. Litvak
Quantitative estimates of the convergence of the empirical covariance matrix in Log-concave
On the minimum of several random variables Yehoram Gordon
Restricted isometry property of matrices with independent columns and neighborly
Covering convex bodies by cylinders and lattice points by ats
Asymmetry of convex polytopes and vertex index of symmetric convex bodies.
Euclidean embeddings in spaces of finite volume ratio via random matrices
Condition number of a square matrix with i.i.d. columns drawn from a convex body
Diameters of Sections and Coverings of Convex Bodies
Probabilit es/Probability Theory Minima of sequences of Gaussian random variables
On the Euclidean metric entropy of convex A. E. Litvak V. D. Milman A. Pajor
Journal of Functional Analysis 213 (2004) 270289 When random proportional subspaces are also
An example of a convex body without symmetric projections.
Quantitative estimates of the convergence of the empirical covariance matrix in Logconcave
Uniform estimates for order statistics and Orlicz Yehoram Gordon