QUANTUM INTERMITTENCY - OLD OR NEW PHENOMENON

Two seemingly unrelated themes in the research of Giovanni Paladin hav e been the ther modynamical formalism for fractal measures, and abstra ct models to account for the structure of well-developed turbulence. H ere, intermittent behaviour seems to be the deep origin of the non-K41 scaling relations characterizing velocity differences in the flow. Th ese themes-multifractal properties (of certain spectral measures) and non-trivial scaling functions (of localization properties in time)-tur n out to be intimately related in the description of wave propagation in almost periodic systems, classical and quantum. Their relations lea d to what I call the phenomenon of quantum intermittency: I develop a complete analytical treatment of its appearance in the motion generate d by Hamiltonians associated with Julia set measures.