collaborators

5 papers

math.PR2026

Stability of extremal hyperplane projections of balls in

Jacek Jakimiuk

We prove stability estimates for the volume of central hyperplane projections of unit balls in , establishing the dual counterpart of the result of Chasapis,…

math.AP2026

Geometry of the Atomic Condition

Jacek Jakimiuk, Sławomir Kolasiński, Maciej Leśniak

The class AC of integrands satisfying the atomic condition was introduced by De Philippis, De Rosa, and Ghiraldin in 2018. These integrands give rise to Almgren elliptic geometric…

math.MG2026

Lower bounds on non-central sections of isotropic convex bodies

Jacek Jakimiuk, Daniel Murawski, Piotr Nayar

For fixed we give asymptotically sharp lower bounds on the quantity , where is a hyperplane at distance from th…

math.PR2026

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 -th moment for

Jacek Jakimiuk

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