Entropy and asymptotic geometry of non-symmetric convex bodies

Citation
Vd. Milman et A. Pajor, Entropy and asymptotic geometry of non-symmetric convex bodies, ADV MATH, 152(2), 2000, pp. 314-335
Citations number
21
Categorie Soggetti
Mathematics
Journal title
ADVANCES IN MATHEMATICS
ISSN journal
00018708 → ACNP
Volume
152
Issue
2
Year of publication
2000
Pages
314 - 335
Database
ISI
SICI code
0001-8708(20000625)152:2<314:EAAGON>2.0.ZU;2-O
Abstract
We extend to the general, not necessarily centrally symmetric setting a num ber or basic results of local theory which were known before for centrally symmetric bodies and were using very essentially the symmetry in their proo fs. Some of these extensions leak surprising. The main additional tool is a study of volume behavior around the centroid of the body. (C) 2000 Academi c Press.