Parametric invariant random matrix model and the emergence of multifractality

J. A. Méndez-Bermúdez, Tsampikos Kottos, Doron Cohen

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


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 nonperturbative breakdown that had been discussed by Wigner 50 years ago. Of particular interest is the emergence of an additional crossover to multifractality.

Original languageEnglish
Article number036204
JournalPhysical Review E
Issue number3
StatePublished - 10 Mar 2006

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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