117 citations · 296 across the 16 of their papers we have counts for
19 papers
A remark on measures of sections of -balls
Alexander Koldobsky, Alain Pajor
We show that the slicing problem holds true for subspaces of in the setting of arbitrary measures in place of volume. This generalizes a result of Milman for the original…
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…
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…
Thin-shell concentration for convex measures
Matthieu Fradelizi, Olivier Guédon, Alain Pajor
We prove that for , -concave measures on satisfy a thin shell concentration similar to the log-concave one. It leads to a Berry-Esseen type estimate for the…
Moment estimates for convex measures
Radosław Adamczak, Olivier Guédon, Rafał Latała +4
Let , $\eps >0$, $r\geq (1+\eps) p$, and be a -concave random vector in with Euclidean norm . We prove that $(\E |X|^{p})^{1/{p}}\leq c (C(\eps) \E…
A short proof of Paouris' inequality
Radosław Adamczak, Rafał Latała, Alexander E. Litvak +3
We give a short proof of a result of G. Paouris on the tail behaviour of the Euclidean norm of an isotropic log-concave random vector , stating that for every $t\ge…