Non-abelian Littlewood–Offord inequalities
| dc.contributor.author | Tiep, Pham H. | |
| dc.contributor.author | Vu, Van H. | |
| dc.date.accessioned | 2016-12-07T02:36:26Z | |
| dc.date.available | 2016-12-07T02:36:26Z | |
| dc.date.issued | 2016-10 | |
| dc.identifier.citation | Non-abelian Littlewood–Offord inequalities 2016, 302:1233 Advances in Mathematics | en |
| dc.identifier.issn | 00018708 | |
| dc.identifier.doi | 10.1016/j.aim.2016.08.002 | |
| dc.identifier.uri | http://hdl.handle.net/10150/621530 | |
| dc.description.abstract | In 1943, Littlewood and Offord proved the first anti-concentration result for sums of independent random variables. Their result has since then been strengthened and generalised by generations of researchers, with applications in several areas of mathematics. In this paper, we present the first non-abelian analogue of the Littlewood Offord result, a sharp anti-concentration inequality for products of independent random variables. (C) 2016 Elsevier Inc. All rights reserved. | |
| dc.description.sponsorship | NSF [DMS-1201374]; Simons Foundation Fellowship [305247]; [DMS-0901216]; [AFOSAR-FA-9550-09-1-0167] | en |
| dc.language.iso | en | en |
| dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | en |
| dc.relation.url | http://linkinghub.elsevier.com/retrieve/pii/S0001870816309859 | en |
| dc.relation.url | https://arxiv.org/abs/1506.01958 | en |
| dc.rights | © 2016 Elsevier Inc. All rights reserved. | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
| dc.subject | Littlewood-Offord-Erdos theorem | en |
| dc.subject | Anti-concentration inequalities | en |
| dc.title | Non-abelian Littlewood–Offord inequalities | en |
| dc.type | Article | en |
| dc.contributor.department | Univ Arizona, Dept Math | en |
| dc.identifier.journal | Advances in Mathematics | en |
| dc.description.note | Available online 30 September 2016; 24 month embargo | en |
| dc.description.collectioninformation | This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu. | en |
| dc.eprint.version | Final accepted manuscript | en |
| html.description.abstract | In 1943, Littlewood and Offord proved the first anti-concentration result for sums of independent random variables. Their result has since then been strengthened and generalised by generations of researchers, with applications in several areas of mathematics. In this paper, we present the first non-abelian analogue of the Littlewood Offord result, a sharp anti-concentration inequality for products of independent random variables. (C) 2016 Elsevier Inc. All rights reserved. |
