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Parametric invariant Random Matrix Model and the emergence of multifractality

J. A. Mendez-Bermudez·Tsampikos Kottos·Doron Cohen
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Abstract

We propose a random matrix modeling for the parametric evolution of eigenstates. The model is inspired by a large class of quantized chaotic systems. Its unique feature is having parametric invariance while still possessing the non-perturbative crossover that has been discussed by Wigner 50 years ago. Of particular interest is the emergence of an additional crossover to multifractality.

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J. A. Mendez-Bermudez, Tsampikos Kottos, Doron Cohen. 2006-01-19. Parametric invariant Random Matrix Model and the emergence of multifractality. https://doi.org/10.1103/physreve.73.036204

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