An isomorphic Dvoretzky's theorem for convex bodies

Y. Gordon; O. Guédon; M. Meyer

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Tail and moment estimates for some types of chaos

Rafał Latała (1999)

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Let $X_{i}$ be a sequence of independent symmetric real random variables with logarithmically concave tails. We consider a variable $X = \sum_{i \neq j} a_{i, j} X_{i} X_{j}$ , where $a_{i, j}$ are real numbers. We derive approximate formulas for the tails and moments of X and of its decoupled version, which are exact up to some universal constants.

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Carsten Schütt (1982)

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On the best constant in the Khinchin-Kahane inequality

Rafał Latała, Krzysztof Oleszkiewicz (1994)

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We prove that if $r_{i}$ is the Rademacher system of functions then ${(ʃ ∥ \sum_{i = 1}^{n} x_{i} r_{i} (t) ∥^{2} d t)}^{1 / 2} \leq \sqrt 2 ʃ ∥ \sum_{i = 1}^{n} x_{i} r_{i} (t) ∥ d t$ for any sequence of vectors $x_{i}$ in any normed linear space F.

On the Banach-Mazur distance of finite-dimensional symmetric Banach spaces and the hypergeometric distribution

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On the estimation of Cesàro means of orthonormal series

J. Meder (1958)

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A local limit theorem on the semi-direct product of $ℝ^{* +}$ and $ℝ^{d}$

Émile Le Page, Marc Peigné (1997)

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