title: Eigenfunction entropy and spectral compressibility for critical random matrix ensembles.
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 χ are related by the simple equation χ+D(1)/d=1, where d is system dimensionality.
authors.affiliation: Université Paris-Sud, CNRS, LPTMS, UMR 8626, Orsay, France.
authors.forename: E
authors.initials: E
authors.lastname: Bogomolny
authors.forename: O
authors.initials: O
authors.lastname: Giraud