Entropy and Asymptotic Geometry of Non-Symmetric Convex Bodies

V. D. Milman*, A. Pajor

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

68 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. Some of these extensions look surprising. The main additional tool is a study of volume behavior around the centroid of the body.

Original languageEnglish
Pages (from-to)314-335
Number of pages22
JournalAdvances in Mathematics
Volume152
Issue number2
DOIs
StatePublished - 25 Jun 2000

Funding

FundersFunder number
United States-Israel Binational Science Foundation

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