Entropy methods in asymptotic convex geometry

Citation
V. Milman et A. Pajor, Entropy methods in asymptotic convex geometry, CR AC S I, 329(4), 1999, pp. 303-308
Citations number
13
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
329
Issue
4
Year of publication
1999
Pages
303 - 308
Database
ISI
SICI code
0764-4442(19990815)329:4<303:EMIACG>2.0.ZU;2-S
Abstract
We extend to the general, not necessarily centrally symmetric setting a num ber of basic results of Local Theory which were known before for centrally symmetric bodies and were using very essentially the symmetry in their proo fs. The main additional tool is a study of volume behavior around the centr oid of the body. (C) 1999 Academie des Sciences / Editions scientifiques et medicales Elsevier SAS.