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arXiv · 0706.2679

Bounds on the concentration function in terms of Diophantine approximation

Omer Friedland·Sasha Sodin
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Abstract

We demonstrate a simple analytic argument that may be used to bound the Levy concentration function of a sum of independent random variables. The main application is a version of a recent inequality due to Rudelson and Vershynin, and its multidimensional generalisation.

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Omer Friedland, Sasha Sodin. 2007-11-20. Bounds on the concentration function in terms of Diophantine approximation. https://arxiv.org/abs/0706.2679

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