Spectral fluctuations of tridiagonal random matrices from the beta-Hermite ensemble

@inproceedings{Male2007SpectralFO,
  title={Spectral fluctuations of tridiagonal random matrices from the beta-Hermite ensemble},
  author={Camille Male and G. Le Caer and Renaud Delannay},
  year={2007}
}
  • Camille Male, G. Le Caer, Renaud Delannay
  • Published 2007
  • Physics
  • A time series delta(n), the fluctuation of the nth unfolded eigenvalue was recently characterized for the classical Gaussian ensembles of NxN random matrices (GOE, GUE, GSE). It is investigated here for the beta-Hermite ensemble as a function of beta (zero or positive) by Monte Carlo simulations. The fluctuation of delta(n) and the autocorrelation function vary logarithmically with n for any beta>0 (1<<n<<N). The simple logarithmic behavior reported for the higher-order moments of delta(n) for… CONTINUE READING