Comportement dimensionnel de l'entropie et de l'information

Translated title of the contribution: Dimensional behaviour of entropy and information

Sergey G Bobkov, Mokshay Madiman

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

We develop an information-theoretic perspective on some questions in convex geometry, providing for instance a new equipartition property for log-concave probability measures, some Gaussian comparison results for log-concave measures, an entropic formulation of the hyperplane conjecture, and a new reverse entropy power inequality for log-concave measures analogous to V. Milman's reverse Brunn-Minkowski inequality.

Translated title of the contributionDimensional behaviour of entropy and information
Original languageFrench
Pages (from-to)201-204
Number of pages4
JournalComptes Rendus Mathematique
Volume349
Issue number3-4
DOIs
StatePublished - Feb 1 2011

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