Parametric invariant Random Matrix Model and the emergence of multifractality
J. A. Mendez-Bermudez, Tsampikos Kottos, Doron Cohen
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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