Remarks about mixed discriminants and volumes

S. Artstein-Avidan, D. Florentin, Y. Ostrover

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

In this note we prove certain inequalities for mixed discriminants of positive semi-definite matrices, and mixed volumes of compact convex sets in ℝn. Moreover, we discuss how the latter are related to the monotonicity of an information functional on the class of convex bodies, which is a geometric analogue of the classical Fisher information.

Original languageEnglish
Article number1350031
JournalCommunications in Contemporary Mathematics
Volume16
Issue number2
DOIs
StatePublished - Apr 2014
Externally publishedYes

Keywords

  • Mixed volumes
  • convex bodies
  • mixed discriminants
  • monotonicity of information
  • zonoids

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