Strict parabolicity of the multifractal spectrum at the Anderson   transition
  Using the well-known "algebra of multifractality", we derive the functional equation for anomalous dimensions \Delta_q, whose solution \Delta_q=aq(q-1) corresponds to strict parabolicity of the multifractal spectrum. This result demonstrates clearly that a correspondence of \sigma-models with the initial disordered systems is not exact. 
I. M. Suslov (Kapitza Institute for Physical Problems, Moscow, Russia)
cond-mat.dis-nn