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Kahane-Khinchin type averages
Authors:Omer Friedland
Institution:School of Mathematical Sciences, Tel Aviv University, Ramat Aviv, Tel Aviv 69978, Israel
Abstract:We prove a Kahane-Khinchin type result with a few random vectors, which are distributed independently with respect to an arbitrary log-concave probability measure on $ \mathbb{R}^n$. This is an application of a small ball estimate and Chernoff's method, that has been recently used in the context of Asymptotic Geometric Analysis.

Keywords:Kahane-Khinchin inequality  log-concave measure  small ball probability  Chernoff bound
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