Mathematics – Functional Analysis
Scientific paper
2004-09-30
Mathematics
Functional Analysis
Scientific paper
Large deviation estimates are by now a standard tool inthe Asymptotic Convex Geometry, contrary to small deviationresults. In this note we present a novel application of a smalldeviations inequality to a problem related to the diameters of random sections of high dimensional convex bodies. Our results imply an unexpected distinction between the lower and the upper inclusions in Dvoretzky Theorem.
Klartag Bo'az
Vershynin Roman
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