English

Concentration of distances in Wigner matrices

Probability 2017-09-21 v1

Abstract

It is well-known that distances in random iid matrices are highly concentrated around their mean. In this note we extend this concentration phenomenon to Wigner matrices. Exponential bounds for the lower tail are also included.

Keywords

Cite

@article{arxiv.1709.06685,
  title  = {Concentration of distances in Wigner matrices},
  author = {Hoi H. Nguyen},
  journal= {arXiv preprint arXiv:1709.06685},
  year   = {2017}
}

Comments

33 pages, 1 figure; to appear in Linear Algebra and its Applications