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Eigenfunction entropy and spectral compressibility for critical random matrix ensembles

Published 16 Nov 2010 in nlin.CD and cond-mat.stat-mech | (1011.3686v1)

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.

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Authors (2)

  1. E. Bogomolny 
  2. O. Giraud 

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