Multifractal approach to fully developed turbulence

Abstract The multifractal description of complex phenomena has been introduced in the first half 1980s for characterization anomalous scaling fully developed turbulence and structure chaotic attractors. From a technical point view, idea is basically contained large deviations theory; however, introduction had an important role statistical physics, chaos, disordered systems. In particular, to clarify neat way that usual idea, coming from critical phenomena, just few exponents are relevant, cannot be completely accurate, infinite set necessary complete features. We briefly review here basic aspects some applications model turbulence.