  We show that extended self-similarity, a scaling phenomenon firstly observed
in classical turbulent flows, holds for a two-dimensional metal-insulator
transition that belongs to the universality class of random Dirac fermions.
Deviations from multifractality, which in turbulence are due to the dominance
of diffusive processes at small scales, appear in the condensed matter context
as a large scale, finite size effect related to the imposition of an infra-red
cutoff in the field theory formulation. We propose a phenomenological
interpretation of extended self-similarity in the metal-insulator transition
within the framework of the random $\beta$-model description of multifractal
sets. As a natural step our discussion is bridged to the analysis of strange
attractors, where crossovers between multifractal and non-multifractal regimes
are found and extended self-similarity turns to be verified as well.
