Anomalous diffusion in dynamical systems: Transport coefficients of all order

The theory of Ruelles zeta function [Thermodynamic Formalism (Addison-Wesley, Reading, MA, 1978)] is extended to describe anomalous transport induced by dynamical chaos. It is shown that P(q) for the generating function of the displacement may not exist for supradiffusive processes, and that the difficulty may be overcome by the introduction of a two-parameter function P(q). We present two exactly solvable examples of anomalous diffusion induced by intermittency, to which our method is applied.