A simplified proof of CLT for convex bodies
Author:
Daniel J. Fresen
Journal:
Proc. Amer. Math. Soc. 149 (2021), 345-354
MSC (2010):
Primary 52A20, 52A23, 60F05; Secondary 26B25, 52A38, 62E20
DOI:
https://doi.org/10.1090/proc/15000
Published electronically:
October 1, 2020
MathSciNet review:
4172610
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Abstract | References | Similar Articles | Additional Information
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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Additional Information
Daniel J. Fresen
Affiliation:
Department of Mathematics and Applied Mathematics, University of Pretoria, Private Bag X20, Hatfield, Pretoria 0028, South Africa
MR Author ID:
977451
Email:
daniel.fresen@up.ac.za
Keywords:
Central limit theorem for convex bodies,
log-concave function
Received by editor(s):
July 19, 2019
Received by editor(s) in revised form:
December 7, 2019
Published electronically:
October 1, 2020
Additional Notes:
Funding received from the University of Pretoria Research Development Programme
Communicated by:
Zhen-Qing Chen
Article copyright:
© Copyright 2020
American Mathematical Society
