K. Tatarko

collaborators

3 papers

math.FA2026

On random diameters of convex bodies

O. Guedon, A. E. Litvak, K. Tatarko +1

Let $K \subset R^{N}$ be a convex body containing the origin in its interior. In this work, we study the diameters of random sections of $K$ and derive upper and lower bound…

math.FA2018

Random polytopes obtained by matrices with heavy tailed entries

Olivier Guédon, A. E. Litvak, K. Tatarko

Let $Γ$ be an $N \times n$ random matrix with independent entries and such that in each row entries are i.i.d. Assume also that the entries are symmetric, have unit variances, and s…

math.PR2018

An upper bound on the smallest singular value of a square random matrix

Kateryna Tatarko

Let $A = (a_{ij})$ be a square $n \times n$ matrix with i.i.d. zero mean and unit variance entries. Rudelson and Vershynin showed that the upper bound for a smallest singular value…