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5n Minkowski symmetrizations suffice to arrive at an approximate Euclidean ball | Bo’az Klartag
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17 Apr 2002 | Subject: | Functional Analysis; Metric Geometry | math.FA math.MG | Abstract: | This paper proves that for every convex body in R^n 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. | Source: | arXiv, math.FA/0204212 | Services: | Forum | Review | PDF | Favorites |
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