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Bulk scaling limit of the Laguerre ensemble

Probability 2010-06-09 v1

Abstract

We consider the beta-Laguerre ensemble, a family of distributions generalizing the joint eigenvalue distribution of the Wishart random matrices. We show that the bulk scaling limit of these ensembles exists for all beta>0 for a general family of parameters and it is the same as the bulk scaling limit of the corresponding beta-Hermite ensemble.

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Cite

@article{arxiv.1006.1370,
  title  = {Bulk scaling limit of the Laguerre ensemble},
  author = {Stéphanie Jacquot and Benedek Valkó},
  journal= {arXiv preprint arXiv:1006.1370},
  year   = {2010}
}

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36 pages