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Fractal Structure of Random Matrices

Nuclear Theory 2009-10-31 v1

Abstract

A multifractal analysis is performed on the universality classes of random matrices and the transition ones.Our results indicate that the eigenvector probability distribution is a linear sum of two chi-squared distribution throughout the transition between the universality ensembles of random matrix theory and Poisson .

Keywords

Cite

@article{arxiv.nucl-th/9907055,
  title  = {Fractal Structure of Random Matrices},
  author = {M. S. Hussein and M. P. Pato},
  journal= {arXiv preprint arXiv:nucl-th/9907055},
  year   = {2009}
}