Stability of the log-Brunn-Minkowski inequality in the case of many hyperplane symmetries

Abstract

In the case of symmetries with respect to n independent linear hyperplanes, a stability version of the logarithmic Brunn-Minkowski inequality and the logarithmic Minkowski inequality for convex bodies is established.

References in corpus (3)

• The Logarithmic Minkowski Problem
• A letter: The log-Brunn-Minkowski inequality for complex bodies
• Stability of the Prekopa-Leindler inequality for log-concave functions

Cited by in corpus (1)

• Stable solution of the log-Minkowski problem in the case of many hyperplane symmetries