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Entropy and Asymptotic Geometry of Non-Symmetric Convex Bodies

✍ Scribed by V.D. Milman; A. Pajor

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 171 KB
Volume: 152
Category: Article
ISSN: 0001-8708
DOI: 10.1006/aima.1999.1903

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✦ Synopsis

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.

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