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Gaussian fluctuations for \beta Ensembles

Probability 2007-05-23 v1 Mathematical Physics math.MP

Abstract

We study the Circular and Jacobi β\beta-Ensembles and prove Gaussian fluctuations for the number of points in one or more intervals in the macroscopic scaling limit.

Keywords

Cite

@article{arxiv.math/0703140,
  title  = {Gaussian fluctuations for \beta Ensembles},
  author = {Rowan Killip},
  journal= {arXiv preprint arXiv:math/0703140},
  year   = {2007}
}