Brunn-Minkowski-type Inequalities and Log-Convexity

This thesis builds on builds on a research paper [2]. We present basics of the Brunn-Minkowski theory for convex sets in Euclidean space. We then discuss the basics of the logarithmic Brunn-Minkowski conjecture which motivates our new result: a probabilistic extension of the dual log Brunn-Minkowski inequality due to Saroglou

Publication Details

Journal
Figshare
Published
2025-01-01
DOI
https://doi.org/10.1184/r1/28941464.v1
Primary Topic
Plant pathogens and resistance mechanisms
Type
article
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article

Brunn-Minkowski-type Inequalities and Log-Convexity

Figshare
Plant pathogens and resistance mechanisms
article

Brunn-Minkowski-type Inequalities and Log-Convexity

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Abstract

This thesis builds on builds on a research paper [2]. We present basics of the Brunn-Minkowski theory for convex sets in Euclidean space. We then discuss the basics of the logarithmic Brunn-Minkowski conjecture which motivates our new result: a probabilistic extension of the dual log Brunn-Minkowski inequality due to Saroglou

Figshare
Reduced inequalities
Openalex Percentile: Top 38%
Plant pathogens and resistance mechanisms
DOISourceOpenAlex
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Brunn-Minkowski-type Inequalities and Log-Convexity · Figshare (2025) | TGRS Research Map | TGRS