Abstract:Abstract. In this note we study how a concentration phenomenon can be transmitted from one measure µ to a push-forward measure ν. In the first part, we push forward µ by π :x K , and obtain a concentration inequality in terms of the medians of the given norms (with respect to µ) and the Banach-Mazur distance between them. This approach is finer than simply bounding the concentration of the push forward measure in terms of the BanachMazur distance between K and L. As a corollary we show that any normed probabil… Show more
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