Fresen, Daniel J.2022-11-302022-11-302021-01Fresen, D.J. 2021, 'A simplified proof of CLT for convex bodies', Proceedings of the American Mathematical Society, vol. 149, no. 1, pp. 345–354, doi : 10.1090/proc/15000.0002-9939 (print)1088-6826 (online)10.1090/proc/15000https://repository.up.ac.za/handle/2263/88553We 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.en© 2021 American Mathematical SocietyConvex bodiesLog-concave functionCentral limit theorem (CLT)Preprint Article