A simplified proof of CLT for convex bodies

Fresen, Daniel

doi:10.1090/proc/15000

A simplified proof of CLT for convex bodies
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by Daniel J. Fresen

Proc. Amer. Math. Soc. 149 (2021), 345-354

DOI: https://doi.org/10.1090/proc/15000

Published electronically: October 1, 2020

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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 the thin shell implies CLT. The paper is accessible to anyone.

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