Fractal Structure of Random Matrices

Physics – Nuclear Physics – Nuclear Theory

Scientific paper

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Scientific paper

10.1016/S0378-4371(00)00179-5

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 .

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