A simplified proof of CLT for convex bodies

Daniel J. Fresen

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arXiv · 1907.06785

A simplified proof of CLT for convex bodies

Daniel J. Fresen

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Abstract

We present a short proof of Klartag's central limit theorem for convex bodies, using only the most classical facts about log-concave functions. An appendix is included where we give the proof that thin shell implies CLT. The paper is accessible to anyone.

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Daniel J. Fresen. 2019-07-19. A simplified proof of CLT for convex bodies. https://arxiv.org/abs/1907.06785

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