3 papers
math.PR2026
Spectral norm of matrices with independent entries up to polyloglog
Rafał Meller
In this paper, we study the expectation of the operator norm of the random matrix (a_{ij} X_{ij}) for i,j <= n, under the assumption that the random variables (X_{ij}) are independ…
math.PR2024
Small cover approach to the suprema of positive canonical processes
Witold Bednorz, Rafał Martynek, Rafał Meller
We extend the recent result of Park and Pham concerning the positive selector process to canonical processes generated by i.i.d. nonnegative random variables satisfying minimal tai…
math.PR2018
Hanson-Wright inequality in Banach spaces
Radosław Adamczak, Rafał Latała, Rafał Meller
We discuss two-sided bounds for moments and tails of quadratic forms in Gaussian random variables with values in Banach spaces. We state a natural conjecture and show that it holds…