Global spectrum fluctuations for the $\beta$-Hermite and   $\beta$-Laguerre ensembles via matrix models
  We study the global spectrum fluctuations for $\beta$-Hermite and $\beta$-Laguerre ensembles via the tridiagonal matrix models introduced in \cite{dumitriu02}, and prove that the fluctuations describe a Gaussian process on monomials. We extend our results to slightly larger classes of random matrices. 
Ioana Dumitriu and Alan Edelman