Multifractality beyond the Parabolic Approximation: Deviations from the   Log-normal Distribution at Criticality in Quantum Hall Systems
  Based on differences of generalized R\'enyi entropies nontrivial constraints on the shape of the distribution function of broadly distributed observables are derived introducing a new parameter in order to quantify the deviation from lognormality. As a test example the properties of the two--measure random Cantor set are calculated exactly and finally using the results of numerical simulations the distribution of the eigenvector components calculated in the critical region of the lowest Landau--band is analyzed. 
Imre Varga, J\'anos Pipek (Department of Theoretical Physics,   Institute of Physics, Technical University of Budapest) and ...