Marta Strzelecka

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20192025

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Showing math.PRShow all

5 papers · 1 filter

math.PR2025

Operator $ℓ_{p} \to ℓ_{q}$ norms of Gaussian matrices

Rafał Latała, Marta Strzelecka

We confirm the conjecture posed by Guédon, Hinrichs, Litvak, and Prochno in 2017 that $E ∥ (a_{ij} g_{ij})_{i \leq m, j \leq n} : ℓ_{p}^{n} \to ℓ_{q}^{m} ∥$ is comparable, up…

math.PR2024

Operator $ℓ_{p} \to ℓ_{q}$ norms of random matrices with iid entries

Rafał Latała, Marta Strzelecka

We prove that for every $p, q \in [1, \infty]$ and every random matrix $X = (X_{i, j})_{i \leq m, j \leq n}$ with iid centered entries satisfying the regularity assumption $\|X_{i,j}\|_{2ρ} \…

math.PR2023

Moderate deviation principles and Mod-Gaussian convergence for lacunary trigonometric sums

Joscha Prochno, Marta Strzelecka

Classical works of Kac, Salem and Zygmund, and Erdős and Gál have shown that lacunary trigonometric sums despite their dependency structure behave in various ways like sums of inde…

math.PR2023

Chevet-type inequalities for subexponential Weibull variables and estimates for norms of random matrices

Rafał Latała, Marta Strzelecka

We prove two-sided Chevet-type inequalities for independent symmetric Weibull random variables with shape parameter $r \in [1, 2]$ . We apply them to provide two-sided estimates for op…

math.PR2019

Two-sided estimates for order statistics of log-concave random vectors

Rafał Latała, Marta Strzelecka

We establish two-sided bounds for expectations of order statistics ( $k$ -th maxima) of moduli of coordinates of centered log-concave random vectors with uncorrelated coordinates. Ou…

Operator ℓp​→ℓq​ norms of Gaussian matrices

Operator ℓp​→ℓq​ norms of random matrices with iid entries

Moderate deviation principles and Mod-Gaussian convergence for lacunary trigonometric sums

Chevet-type inequalities for subexponential Weibull variables and estimates for norms of random matrices

Two-sided estimates for order statistics of log-concave random vectors

Operator $ℓ_{p} \to ℓ_{q}$ norms of Gaussian matrices

Operator $ℓ_{p} \to ℓ_{q}$ norms of random matrices with iid entries