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