Smallest singular value of random matrices and geometry of random polytopes AE Litvak, A Pajor, M Rudelson, N Tomczak-Jaegermann Advances in Mathematics 195 (2), 491-523, 2005 | 310 | 2005 |
Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles R Adamczak, A E. Litvak, A Pajor, N Tomczak-Jaegermann Journal of the American Mathematical Society 23 (2), 535, 2010 | 219 | 2010 |
Restricted isometry property of matrices with independent columns and neighborly polytopes by random sampling R Adamczak, AE Litvak, A Pajor, N Tomczak-Jaegermann Constructive Approximation 34 (1), 61-88, 2011 | 148 | 2011 |
The flatness theorem for nonsymmetric convex bodies via the local theory of Banach spaces W Banaszczyk, AE Litvak, A Pajor, SJ Szarek Mathematics of Operations Research, 728-750, 1999 | 129 | 1999 |
Averages of norms and quasi-norms AE Litvak, VD Milman, G Schechtman Mathematische Annalen 312 (1), 95-124, 1998 | 98 | 1998 |
Sharp bounds on the rate of convergence of the empirical covariance matrix R Adamczak, AE Litvak, A Pajor, N Tomczak-Jaegermann Comptes Rendus Mathematique 349 (3), 195-200, 2011 | 77 | 2011 |
John's decomposition in the general case and applications Y Gordon, AE Litvak, M Meyer, A Pajor Journal of Differential Geometry 68 (1), 99-119, 2004 | 73 | 2004 |
Orlicz norms of sequences of random variables Y Gordon, A Litvak, C Schütt, E Werner The Annals of Probability 30 (4), 1833-1853, 2002 | 47 | 2002 |
Adjacency matrices of random digraphs: singularity and anti-concentration AE Litvak, A Lytova, K Tikhomirov, N Tomczak-Jaegermann, P Youssef Journal of Mathematical Analysis and Applications 445 (2), 1447-1491, 2017 | 45 | 2017 |
On the minimum of several random variables Y Gordon, A Litvak, C Schütt, E Werner Proceedings of the American Mathematical Society 134 (12), 3665-3675, 2006 | 45 | 2006 |
Gaussian averages of interpolated bodies and applications to approximate reconstruction Y Gordon, AE Litvak, S Mendelson, A Pajor Journal of Approximation Theory 149 (1), 59-73, 2007 | 44 | 2007 |
Euclidean projections of a p-convex body O Guédon, A Litvak Geometric aspects of functional analysis, 95-108, 2000 | 40 | 2000 |
A Short Proof of Paouris' Inequality R Adamczak, R Latala, AE Litvak, K Oleszkiewicz, A Pajor Canadian mathematical bulletin 57 (1), 3-8, 2014 | 36 | 2014 |
Random aspects of high-dimensional convex bodies A Litvak, N Tomczak-Jaegermann Geometric Aspects of Functional Analysis, 169-190, 2000 | 32 | 2000 |
Diameters of sections and coverings of convex bodies AE Litvak, A Pajor, N Tomczak-Jaegermann Journal of Functional Analysis 231 (2), 438-457, 2006 | 29 | 2006 |
Euclidean embeddings in spaces of finite volume ratio via random matrices AE Litvak, A Pajor, M Rudelson, N Tomczak-Jaegermann, R Vershynin Journal für die reine und angewandte Mathematik 2005 (589), 1-19, 2005 | 29 | 2005 |
On the interval of fluctuation of the singular values of random matrices O Guédon, AE Litvak, A Pajor, N Tomczak-Jaegermann Journal of the European Mathematical Society 19 (5), 1469-1505, 2017 | 27 | 2017 |
Smallest singular value of sparse random matrices A Litvak, O Rivasplata arXiv preprint arXiv:1106.0938, 2011 | 27 | 2011 |
Smallest singular value of random matrices with independent columns R Adamczak, O Guédon, A Litvak, A Pajor, N Tomczak-Jaegermann Comptes Rendus Mathematique 346 (15), 853-856, 2008 | 27 | 2008 |
Tail estimates for norms of sums of log-concave random vectors R Adamczak, R Latała, AE Litvak, A Pajor, N Tomczak-Jaegermann Proceedings of the London Mathematical Society 108 (3), 600-637, 2014 | 25 | 2014 |