Jacek Jakimiuk

activity

20222026

most citedLog-concavity and discrete degrees of freedom

1 citations · 1 across the 6 of their papers we have counts for

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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.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 $t_{0} \in [0, 3]$ 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…

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

Geometry of the Atomic Condition

Lower bounds on non-central sections of isotropic convex bodies

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