Méthodes entropiques en géométrie asymptotique des convexes

Translated title of the contribution: Entropy methods in asymptotic convex geometry

Vitali Milman, Alain Pajor

Research output: Contribution to journalArticlepeer-review


We extend to the general, not necessarily centrally symmetric setting a number of basic results of Local Theory which were known before for centrally symmetric bodies and were using very essentially the symmetry in their proofs. The main additional tool is a study of volume behavior around the centroid of the body.

Translated title of the contributionEntropy methods in asymptotic convex geometry
Original languageFrench
Pages (from-to)303-308
Number of pages6
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Issue number4
StatePublished - Aug 1999


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