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The central limit problem for convex bodies
Authors:Milla Anttila   Keith Ball   Irini Perissinaki
Affiliation:Department of Mathematics, University of Kuopio, pl 1627, 70211 Kuopio, Finland ; Department of Mathematics, University College, University of London, Gower Street, London WC1E 6BT, England ; Department of Mathematics, University of Crete, 710409 Iraklion, Greece
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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