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The Brunn-Minkowski inequality for random sets

โœ Scribed by Richard A Vitale


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
388 KB
Volume
33
Category
Article
ISSN
0047-259X

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Suppose that 0 0 and 0 1 are convex, open subsets of R N . Denote their convex combination by The Brunn Minkowski inequality says that (vol 0 t ) 1ร‚N (1&t) vol 0 1ร‚N 0 +t vol 0 1ร‚N 1 for 0 t 1. Moreover, if there is equality for some t other than an endpoint, then the domains 0 1 and 0 0 are transl