The central limit problem for convex bodies

Anttila, Milla; Ball, Keith; Perissinaki, Irini

doi:10.1090/S0002-9947-03-03085-X

The central limit problem for convex bodies
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by Milla Anttila, Keith Ball and Irini Perissinaki PDF

Trans. Amer. Math. Soc. 355 (2003), 4723-4735 Request permission

Erratum: Trans. Amer. Math. Soc. 356 (2004), 2137-2137.

Abstract:

It is shown that every symmetric convex body which satisfies a kind of weak law of large numbers has the property that almost all its marginal distributions are approximately Gaussian. Several quite broad classes of bodies are shown to satisfy the condition.

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