Parametric invariant random matrix model and the emergence of multifractality

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

doi:10.1103/PhysRevE.73.036204

Parametric invariant random matrix model and the emergence of multifractality

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

Department of Physics

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10 Scopus citations

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

Original language	English
Article number	036204
Journal	Physical Review E
Volume	73
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.73.036204
State	Published - 10 Mar 2006

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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10.1103/PhysRevE.73.036204

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AB - 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.

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Parametric invariant random matrix model and the emergence of multifractality

Abstract

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