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Perturbation approach to multifractal dimensions for certain critical random matrix ensembles
multifractal dimensions Perturbation random matrix ensembles
2011/7/6
Fractal dimensions of eigenfunctions for various critical random matrix ensembles are investigated in perturbation series in the regimes of strong and weak multifractality. In both regimes we obtain e...
A generalized plasma and interpolation between classical random matrix ensembles
generalized plasma interpolation classical random matrix ensembles
2011/1/17
The eigenvalue probability density functions of the classical random matrix ensembles have
a well known analogy with the one component log-gas at the special couplings = 1, 2 and 4.