Disordered ensembles of random matrices
Statistical Mechanics
2009-11-13 v1
Abstract
It is shown that the families of generalized matrix ensembles recently considered which give rise to an orthogonal invariant stable L\'{e}vy ensemble can be generated by the simple procedure of dividing Gaussian matrices by a random variable. The nonergodicity of this kind of disordered ensembles is investigated. It is shown that the same procedure applied to random graphs gives rise to a family that interpolates between the Erd\"{o}s-Renyi and the scale free models.
Cite
@article{arxiv.0711.3719,
title = {Disordered ensembles of random matrices},
author = {O. Bohigas and J. X. de Carvalho and M. P. Pato},
journal= {arXiv preprint arXiv:0711.3719},
year = {2009}
}
Comments
8 pages, 4 figures