English

On the Largest Eigenvalue of Products from the \beta-Laguerre Ensemble

Probability 2013-01-28 v1

Abstract

We determine the limiting distribution of the largest eigenvalue of products from the β\beta-Laguerre ensemble. This limiting distribution is given by a Tracy-Widom law with parameter β0>0\beta_0>0 depending on the ratio of the parameters of the two matrices involved.

Keywords

Cite

@article{arxiv.1301.5918,
  title  = {On the Largest Eigenvalue of Products from the \beta-Laguerre Ensemble},
  author = {Zachary Gelbaum},
  journal= {arXiv preprint arXiv:1301.5918},
  year   = {2013}
}