A simplified proof of CLT for convex bodies

Fresen, Daniel J.

dc.contributor.author	Fresen, Daniel J.
dc.date.accessioned	2022-11-30T08:37:18Z
dc.date.available	2022-11-30T08:37:18Z
dc.date.issued	2021-01
dc.description.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.	en_US
dc.description.department	Mathematics and Applied Mathematics	en_US
dc.description.librarian	hj2022	en_US
dc.description.sponsorship	The University of Pretoria Research Development Programme.	en_US
dc.description.uri	http://www.ams.org/publications/journals/journalsframework/proc	en_US
dc.identifier.citation	Fresen, 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.	en_US
dc.identifier.issn	0002-9939 (print)
dc.identifier.issn	1088-6826 (online)
dc.identifier.other	10.1090/proc/15000
dc.identifier.uri	https://repository.up.ac.za/handle/2263/88553
dc.language.iso	en	en_US
dc.publisher	American Mathematical Society	en_US
dc.rights	© 2021 American Mathematical Society	en_US
dc.subject	Convex bodies	en_US
dc.subject	Log-concave function	en_US
dc.subject	Central limit theorem (CLT)	en_US
dc.title	A simplified proof of CLT for convex bodies	en_US
dc.type	Preprint Article	en_US