English

Small deviations of determinants of random matrices with Gaussian entries

Probability 2013-03-19 v3

Abstract

The probability of the small deviations of the matrix AATAA^T determinant is estimated, where AA is an n×n\times\infty random matrix with centered entries having joint Gaussian distribution. The inequality obtained is sharp in a sence.

Keywords

Cite

@article{arxiv.1211.3524,
  title  = {Small deviations of determinants of random matrices with Gaussian entries},
  author = {Nadezhda V. Volodko},
  journal= {arXiv preprint arXiv:1211.3524},
  year   = {2013}
}