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Smallest gaps between eigenvalues of real Gaussian matrices

Probability 2024-04-01 v2 Mathematical Physics math.MP

Abstract

We consider an n×nn\times n matrix of independent real Gaussian random variables and determine the asymptotic distribution of the smallest gaps between complex eigenvalues.

Keywords

Cite

@article{arxiv.2403.09521,
  title  = {Smallest gaps between eigenvalues of real Gaussian matrices},
  author = {Patrick Lopatto and Matthew Meeker},
  journal= {arXiv preprint arXiv:2403.09521},
  year   = {2024}
}

Comments

27 pages; references added

R2 v1 2026-06-28T15:20:19.775Z