Jacek Jakimiuk

collaborators

3 papers

math.MG2026

Lower bounds on non-central sections of isotropic convex bodies

Jacek Jakimiuk, Daniel Murawski, Piotr Nayar

For fixed $t_{0} \in [0, 3]$ we give asymptotically sharp lower bounds on the quantity $L_{K} vol_{d - 1} (K \cap H)$ , where $H$ is a hyperplane at distance $t_{0} L_{K}$ from th…

math.PR2025

Khinchin inequalities for uniforms on spheres with a deficit

Jacek Jakimiuk, Colin Tang, Tomasz Tkocz

We sharpen the moment comparison inequalities with sharp constants for sums of random vectors uniform on Euclidean spheres, providing a deficit term (optimal in high dimensions).

math.PR2025

Stability of Khintchine inequalities with optimal constants between the second and the $p$ -th moment for $p \geq 3$

Jacek Jakimiuk

We give a strengthening of the classical Khintchine inequality between the second and the $p$ -th moment for $p \geq 3$ with optimal constant by adding a deficit depending on the vec…

Lower bounds on non-central sections of isotropic convex bodies

Khinchin inequalities for uniforms on spheres with a deficit

Stability of Khintchine inequalities with optimal constants between the second and the p-th moment for p≥3

Stability of Khintchine inequalities with optimal constants between the second and the $p$ -th moment for $p \geq 3$