$_{}$-estimates for marginals of log-concave probability measures
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We show that a random marginal F () of an isotropic log-concave probability measure on R n exhibits better -behavior. For a natural variant ' of the standard -norm we show the following: (i) If k n, then for a random F G n,k we have that F () is a ' 2- measure. We complement this result by showing that a random F () is, at the same time, super-Gaussian. (ii) If k = n , 1/2 < < 1, then for a random F G n,k we have that F () is a ' ()-measure, where () = 2/3-1. 2011 American Mathematical Society.