Stability of the Logarithmic Brunn–Minkowski Inequality in the Case of Many Hyperplane Symmetries

In the case of symmetries with respect to 𝑛 independent linear hyperplanes, a stability versions of the Logarithmic Brunn–Minkowski Inequality and the Logarithmic Minkowski Inequality for convex bodies are established.

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Publication Details

Journal
Studia Scientiarum Mathematicarum Hungarica
Published
2024-12-04
DOI
https://doi.org/10.1556/012.2024.04321
Primary Topic
Point processes and geometric inequalities
Type
article
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article

Stability of the Logarithmic Brunn–Minkowski Inequality in the Case of Many Hyperplane Symmetries

Károly J. Böröczky, Apratim De
Studia Scientiarum Mathematicarum Hungarica
Point processes and geometric inequalities
article

Stability of the Logarithmic Brunn–Minkowski Inequality in the Case of Many Hyperplane Symmetries

Károly J. Böröczky, Apratim De
article en

Abstract

In the case of symmetries with respect to 𝑛 independent linear hyperplanes, a stability versions of the Logarithmic Brunn–Minkowski Inequality and the Logarithmic Minkowski Inequality for convex bodies are established.

Studia Scientiarum Mathematicarum HungaricaVol. 61(4)
HUN-REN Alfréd Rényi Institute of Mathematics (HU)
Reduced inequalities
Openalex Percentile: Top 63%
Point processes and geometric inequalities
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Stability of the Logarithmic Brunn–Minkowski Inequality in the Case of Many Hyperplane Symmetries — Károly J. Böröczky, Apratim De · Studia Scientiarum Mathematicarum Hungarica (2024) | TGRS Research Map | TGRS