181 citations · 217 across the 7 of their papers we have counts for
6 papers · 1 filter
On the geometry of polytopes generated by heavy-tailed random vectors
Olivier Guédon, Felix Krahmer, Christian Kümmerle +2
We study the geometry of centrally-symmetric random polytopes, generated by independent copies of a random vector taking values in . We show that under minima…
Inverse Littlewood-Offord problems for Quasi-Norms
Omer Friedland, Ohad Giladi, Olivier Guédon
Given a star-shaped domain , vectors , a number , and i.i.d. random variables , we study the geometri…
On the interval of fluctuation of the singular values of random matrices
Olivier Guédon, Alexander E. Litvak, Alain Pajor +1
Let be a matrix whose columns are independent random vectors in . Assume that the tails of the 1-dimensional marginals decay as $\mathbb{P}(|\lan…
Small ball estimates for quasi-norms
Omer Friedland, Ohad Giladi, Olivier Guédon
This note contains two types of small ball estimates for random vectors in finite dimensional spaces equipped with a quasi-norm. In the first part, we obtain bounds for the small b…
The Central Limit Theorem for Linear Eigenvalue Statistics of the Sum of Independent Matrices of Rank One
O. Guédon, A. Lytova, A. Pajor +1
We consider random matrices , where , are i.i.d. is…
A probabilistic approach to the geometry of the \ell_p^n-ball
Franck Barthe, Olivier Guedon, Shahar Mendelson +1
This article investigates, by probabilistic methods, various geometric questions on B_p^n, the unit ball of \ell_p^n. We propose realizations in terms of independent random variabl…