https://ogma.newcastle.edu.au/vital/access/ /manager/Index ${session.getAttribute("locale")} 5 Small ball estimates for quasi-norms https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:28414 Sat 24 Mar 2018 07:35:59 AEDT ]]> Inverse Littlewood-Offord problems for quasi-norms https://ogma.newcastle.edu.au/vital/access/ /manager/Repository/uon:34275 d, n vectors v1,…,vn∈ℝd, a number R > 0, and i.i.d. random variables η1,…,ηn, we study the geometric and arithmetic structure of the multi-set V = {v1,…,vn} under the assumption that the concentration function [formula could not be replicated] does not decay too fast as n → ∞. This generalises the case where K is the Euclidean ball, which was previously studied in Nguyen and Vu (Adv Math 226(6):5298–5319, 2011) and Tao and Vu (Combinatorica 32(3):363–372, 2012), to the non-Euclidean settings, that is, to general norms and quasi-norms in ℝd.]]> Mon 25 Feb 2019 14:55:27 AEDT ]]>