Non-abelian Littlewood–Offord inequalities

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-...

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Main Authors:	Tiep, Pham H., Vu, Van H.
Other Authors:	Univ Arizona, Dept Math
Language:	en
Published:	ACADEMIC PRESS INC ELSEVIER SCIENCE 2016
Subjects:	Littlewood-Offord-Erdos theorem Anti-concentration inequalities
Online Access:	http://hdl.handle.net/10150/621530 http://arizona.openrepository.com/arizona/handle/10150/621530

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spelling	ndltd-arizona.edu-oai-arizona.openrepository.com-10150-6215302016-12-09T03:00:36Z Non-abelian Littlewood–Offord inequalities Tiep, Pham H. Vu, Van H. Univ Arizona, Dept Math Littlewood-Offord-Erdos theorem Anti-concentration inequalities 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. 2016-10 Article Non-abelian Littlewood–Offord inequalities 2016, 302:1233 Advances in Mathematics 00018708 10.1016/j.aim.2016.08.002 http://hdl.handle.net/10150/621530 http://arizona.openrepository.com/arizona/handle/10150/621530 Advances in Mathematics en http://linkinghub.elsevier.com/retrieve/pii/S0001870816309859 https://arxiv.org/abs/1506.01958 © 2016 Elsevier Inc. All rights reserved. ACADEMIC PRESS INC ELSEVIER SCIENCE
collection	NDLTD
language	en
sources	NDLTD
topic	Littlewood-Offord-Erdos theorem Anti-concentration inequalities
spellingShingle	Littlewood-Offord-Erdos theorem Anti-concentration inequalities Tiep, Pham H. Vu, Van H. Non-abelian Littlewood–Offord inequalities
description	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.
author2	Univ Arizona, Dept Math
author_facet	Univ Arizona, Dept Math Tiep, Pham H. Vu, Van H.
author	Tiep, Pham H. Vu, Van H.
author_sort	Tiep, Pham H.
title	Non-abelian Littlewood–Offord inequalities
title_short	Non-abelian Littlewood–Offord inequalities
title_full	Non-abelian Littlewood–Offord inequalities
title_fullStr	Non-abelian Littlewood–Offord inequalities
title_full_unstemmed	Non-abelian Littlewood–Offord inequalities
title_sort	non-abelian littlewood–offord inequalities
publisher	ACADEMIC PRESS INC ELSEVIER SCIENCE
publishDate	2016
url	http://hdl.handle.net/10150/621530 http://arizona.openrepository.com/arizona/handle/10150/621530
work_keys_str_mv	AT tiepphamh nonabelianlittlewoodoffordinequalities AT vuvanh nonabelianlittlewoodoffordinequalities
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Non-abelian Littlewood–Offord inequalities

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