English

A continuous variant of the inverse Littlewood-Offord problem for quadratic forms

Combinatorics 2011-05-31 v1

Abstract

Motivated by the inverse Littlewood-Offord problem for linear forms, we study the concentration of quadratic forms. We show that if this form concentrates on a small ball with high probability, then the coefficients can be approximated by a sum of additive and algebraic structures.

Keywords

Cite

@article{arxiv.1105.5733,
  title  = {A continuous variant of the inverse Littlewood-Offord problem for quadratic forms},
  author = {Hoi H. Nguyen},
  journal= {arXiv preprint arXiv:1105.5733},
  year   = {2011}
}

Comments

17 pages. This is the first part of http://arxiv.org/abs/1101.3074