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Eigenfunction entropy and spectral compressibility for critical random matrix ensembles
Authors:Bogomolny E  Giraud O
Institution:Université Paris-Sud, CNRS, LPTMS, UMR 8626, Orsay, France.
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.
Keywords:
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