Small gaps of GOE

Renjie Feng; Gang Tian; Dongyi Wei

Small gaps of GOE

Probability 2019-01-08 v1

Authors: Renjie Feng , Gang Tian , Dongyi Wei

Abstract

In this article, we study the smallest gaps of the Gaussian orthogonal ensemble. The main result is that the smallest gaps, after normalized by $n$ , will tend to a Poisson distribution, and the limiting density of the $k$ -th normalized smallest gaps is $2{}x^{2k-1}e^{-x^{2}}/(k-1)!$ .

Keywords

gaussian random fields poisson processes

Cite

@article{arxiv.1901.01567,
  title  = {Small gaps of GOE},
  author = {Renjie Feng and Gang Tian and Dongyi Wei},
  journal= {arXiv preprint arXiv:1901.01567},
  year   = {2019}
}

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