Jacek Jakimiuk

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math.PR2026

Stability of extremal hyperplane projections of balls in $ℓ_{p}^{n} (R)$

Jacek Jakimiuk

We prove stability estimates for the volume of central hyperplane projections of unit balls in $ℓ_{p}^{n} (R)$ , establishing the dual counterpart of the result of Chasapis,…

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…

Stability of extremal hyperplane projections of balls in ℓpn​(R)

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 extremal hyperplane projections of balls in $ℓ_{p}^{n} (R)$

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