On the Littlewood--Offord problem
Probability
2016-05-03 v1
Abstract
The paper deals with studying a connection of the Littlewood--Offord problem with estimating the concentration functions of some symmetric infinitely divisible distributions. Some multivariate generalizations of results of Arak (1980) are given. They show a connection of the concentration function of the sum with the arithmetic structure of supports of distributions of independent random vectors for arbitrary distributions of summands.
Cite
@article{arxiv.1411.6872,
title = {On the Littlewood--Offord problem},
author = {Yulia S. Eliseeva and Andrei Yu. Zaitsev},
journal= {arXiv preprint arXiv:1411.6872},
year = {2016}
}
Comments
8 pages