On the volume of the Minkowski sum of line sets and the entropy-power inequality

Research output: Contribution to journalArticlepeer-review

Abstract

We derive a version of the Brunn-Minkowski inequality which gives a nontrivial lower bound on the volume of the Minkowski sum of degenerate sets, namely, line sets. This inequality parallels a recently obtained matrix generalization of the entropy-power inequality.

Original languageEnglish
Pages (from-to)3039-3043
Number of pages5
JournalIEEE Transactions on Information Theory
Volume44
Issue number7
DOIs
StatePublished - 1998

Keywords

  • Brunn-Minkowski inequality
  • Entropy power inequality
  • Matrix generalization of information-theoretic inequalities
  • Zonotope

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