Eigenfunction entropy and spectral compressibility for critical random matrix ensembles
Chaotic Dynamics
2011-09-26 v1 Statistical Mechanics
Abstract
Based on numerical and perturbation series arguments we conjecture that for certain critical random matrix models the information dimension of eigenfunctions D_1 and the spectral compressibility chi are related by the simple equation chi+D_1/d=1, where d is the system dimensionality.
Keywords
Cite
@article{arxiv.1011.3686,
title = {Eigenfunction entropy and spectral compressibility for critical random matrix ensembles},
author = {E. Bogomolny and O. Giraud},
journal= {arXiv preprint arXiv:1011.3686},
year = {2011}
}
Comments
4 pages, 3 figures