works on
banach-mazur distance 1convex bodies 1minkowski asymmetry 1simplex 1stability estimates 1

From the 1 of 2 linked papers with an AI index.

collaborators

2 papers

math.MG2026

Tight Stability Estimates Near the Simplex and Improved Bounds for the Diameter of the Banach-Mazur Compactum in Fixed Dimensions

René Brandenberg, Bernardo González Merino, Florian Grundbacher

The paper proves a sharp stability bound for the Minkowski asymmetry of convex bodies near its maximum, yielding precise estimates for their Banach‑Mazur distance to the simplex an…

math.MG2024

From inequalities relating symmetrizations of convex bodies to the diameter-width ratio for complete and pseudo-complete convex sets

René Brandenberg, Katherina von Dichter, Bernardo González Merino

For a Minkowski centered convex compact set we define to be the smallest possible factor to cover by a rescalation of and giv…