A simplified proof of CLT for convex bodies

dc.contributor.authorFresen, Daniel J.
dc.contributor.emaildaniel.fresen@up.ac.zaen_US
dc.date.accessioned2022-11-30T08:37:18Z
dc.date.available2022-11-30T08:37:18Z
dc.date.issued2021-01
dc.description.abstractWe 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.departmentMathematics and Applied Mathematicsen_US
dc.description.librarianhj2022en_US
dc.description.sponsorshipThe University of Pretoria Research Development Programme.en_US
dc.description.urihttp://www.ams.org/publications/journals/journalsframework/procen_US
dc.identifier.citationFresen, 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.issn0002-9939 (print)
dc.identifier.issn1088-6826 (online)
dc.identifier.other10.1090/proc/15000
dc.identifier.urihttps://repository.up.ac.za/handle/2263/88553
dc.language.isoenen_US
dc.publisherAmerican Mathematical Societyen_US
dc.rights© 2021 American Mathematical Societyen_US
dc.subjectConvex bodiesen_US
dc.subjectLog-concave functionen_US
dc.subjectCentral limit theorem (CLT)en_US
dc.titleA simplified proof of CLT for convex bodiesen_US
dc.typePreprint Articleen_US

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