On Ƶp-Norms of Random Vectors


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详细

To any n-dimensional random vector X we may associate its Lp-centroid body Ƶp (X) and the corresponding norm. We formulate a conjecture concerning the bound on the Ƶp (X)-norm of X and show that it holds under some additional symmetry assumptions. We also relate our conjecture to estimates of covering numbers and Sudakov-type minoration bounds.

作者简介

R. Latała

University of Warsaw

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Email: rlatala@mimuw.edu.pl
波兰, Warsaw


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