Distribution of points on spheres and approximation by zonotopes |
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| Authors: | J Bourgain J Lindenstrauss |
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| Institution: | (1) IHES, 35 route de Chartres, Bures-sur-Yvette, France;(2) The Hebrew University of Jerusalem, Jerusalem, Israel |
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| Abstract: | It is proved that if we approximate the Euclidean ballB
n in the Hausdorff distance up toɛ by a Minkowski sum ofN segments, then the smallest possibleN is equal (up to a possible logarithmic factor) toc(n)ε
−2(n−1)/(n+2). A similar result is proved ifB
n is replaced by a general zonoid inR
n
. |
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| Keywords: | |
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