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math.FA2026
Stability result for the extremal Grünbaum distance between convex bodies
Tomasz Kobos
In 1963 Grünbaum introduced the following variation of the Banach-Mazur distance for arbitrary convex bodies : $d_G(K, L) = \inf \{ |r| \ : \ K' \subset…
math.FA2026
A Complex Analogue of Spencer's Six Standard Deviations Theorem and the Complex Banach-Mazur Distance
Tomasz Kobos, Marin Varivoda
We investigate a complex analogue of Spencer's Six Standard Deviations Theorem. Specifically, we propose the following conjecture: for any dimension , given vectors $a_1,…