Entropy methods in asymptotic convex geometry

Vitali Milman; Alain Pajor

doi:10.1016/S0764-4442(00)88571-7

Entropy methods in asymptotic convex geometry

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

Vitali Milman^*, Alain Pajor

^*Corresponding author for this work

School of Mathematical Sciences

Université Gustave Eiffel

Research output: Contribution to journal › Article › peer-review

8 Scopus citations

Abstract

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 contribution	Entropy methods in asymptotic convex geometry
Original language	English
Pages (from-to)	303-308
Number of pages	6
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	329
Issue number	4
DOIs	https://doi.org/10.1016/S0764-4442(00)88571-7
State	Published - Aug 1999

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Entropy methods in asymptotic convex geometry

Abstract

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