The Local Logarithmic Brunn-Minkowski Inequality for Zonoids

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Scopus citations


The aim of this note is to show that the local form of the logarithmic Brunn-Minkowski conjecture holds for zonoids. The proof uses a variant of the Bochner method due to Shenfeld and the author.

Original languageEnglish (US)
Title of host publicationLecture Notes in Mathematics
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages25
StatePublished - 2023

Publication series

NameLecture Notes in Mathematics
ISSN (Print)0075-8434
ISSN (Electronic)1617-9692

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


  • Bochner method
  • Logarithmic Brunn-Minkowski inequality
  • Mixed volumes
  • Zonoids


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