A simplified proof of CLT for convex bodies
| dc.contributor.author | Fresen, Daniel J. | |
| dc.contributor.email | daniel.fresen@up.ac.za | en_US |
| 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 |