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