13 citations · 19 across the 3 of their papers we have counts for
5 papers
Invertibility of random matrices: norm of the inverse
Mark Rudelson
Let A be an n by n matrix, whose entries are independent copies of a centered random variable satisfying the subgaussian tail estimate. We prove that the operator norm of A^{-1} do…
L_p moments of random vectors via majorizing measures
Olivier Guedon, Mark Rudelson
For a random vector X in R^n, we obtain bounds on the size of a sample, for which the empirical p-th moments of linear functionals are close to the exact ones uniformly on an n-dim…
Random processes via the combinatorial dimension: introductory notes
Mark Rudelson, Roman Vershynin
This is an informal discussion on one of the basic problems in the theory of empirical processes, addressed in our preprint "Combinatorics of random processes and sections of conve…
Distances between non--symmetric convex bodies and the -estimate
M. Rudelson
Let be -dimensional convex bodes. Define the distance between and as where the infimum is taken ove…
Sections of the difference body
M. Rudelson
Let be an -dimensional convex body. Define the difference body by We estimate the volume of the section of by a linear subspace …