Disordered ensembles of random matrices

Details Disordered ensembles of random matrices Disordered ensembles of random matrices

2007-11-23

arxiv.org/abs/0711.3719v1

Physics

Condensed Matter

Statistical Mechanics

8 pages, 4 figures

Scientific paper

10.1103/PhysRevE.77.011122

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.

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