2002/04/17 by Bo'az Klartag, Klartag, Bo'az
Mathematics · #FOS: Mathematics #Functional Analysis (math.FA) #Metric Geometry (math.MG) #math.FA #math.MG
paper · pdf · doi:10.48550/arxiv.math/0204212
arxiv created 2002/04/17 · arxiv updated 2009/11/30
This paper proves that for every convex body in Rn there exist 5n-4 Minkowski symmetrizations, which transform the body into an approximate Euclidean ball. This result complements the sharp c n 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.