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.
| Identifer | oai:union.ndltd.org:arizona.edu/oai:arizona.openrepository.com:10150/621530 |
| Date | 10 1900 |
| Creators | Tiep, Pham H., Vu, Van H. |
| Contributors | Univ Arizona, Dept Math |
| Publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| Source Sets | University of Arizona |
| Language | English |
| Detected Language | English |
| Type | Article |
| Rights | © 2016 Elsevier Inc. All rights reserved. |
| Relation | http://linkinghub.elsevier.com/retrieve/pii/S0001870816309859, https://arxiv.org/abs/1506.01958 |
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