5n Minkowski symmetrizations suffice to arrive at an approximate Euclidean ball
成果类型：
Article
署名作者：
Klartag, B
刊物名称：
ANNALS OF MATHEMATICS
ISSN/ISSBN：
0003-486X
DOI：
10.2307/3597288
发表日期：
2002
页码：
947-960
关键词：
摘要：
This paper proves that for every convex body in R-n there exist 5n Minkowski symmetrizations which transform the body into an approximate Euclidean ball. This result complements the sharp cn log n upper estimate by J. Bourgain, J. Lindenstrauss and V.D. Milman, of the number of random Minkowski symmetrizations sufficient for approaching an approximate Euclidean ball.