167 citations · 890 across the 42 of their papers we have counts for
5 papers · 2 filters
Tail estimates for norms of sums of log-concave random vectors
Radosław Adamczak, Rafał Latała, Alexander E. Litvak +2
We establish new tail estimates for order statistics and for the Euclidean norms of projections of an isotropic log-concave random vector. More generally, we prove tail estimates f…
Chevet type inequality and norms of submatrices
Radosław Adamczak, Rafał Latała, Alexander E. Litvak +2
We prove a Chevet type inequality which gives an upper bound for the norm of an isotropic log-concave unconditional random matrix in terms of expectation of the supremum of "symmet…
Moments of unconditional logarithmically concave vectors
Rafał Latała
We derive two-sided bounds for moments of linear combinations of coordinates od unconditional log-concave vectors. We also investigate how well moments of such combinations may be…
Gaussian approximation of moments of sums of independent symmetric random variables with logarithmically concave tails
Rafał Latała
We study how well moments of sums of independent symmetric random variables with logarithmically concave tails may be approximated by moments of Gaussian random variables.
Geometry of log-concave Ensembles of random matrices and approximate reconstruction
Radosław Adamczak, Rafał Latała, Alexander E. Litvak +2
We study the Restricted Isometry Property of a random matrix with independent isotropic log-concave rows. To this end, we introduce a parameter that controls uniforml…