Understanding Anomalous Transport in Intermittent Maps: From Continuous   Time Random Walks to Fractals
  We show that the generalized diffusion coefficient of a subdiffusive intermittent map is a fractal function of control parameters. A modified continuous time random walk theory yields its coarse functional form and correctly describes a dynamical phase transition from normal to anomalous diffusion marked by strong suppression of diffusion. Similarly, the probability density of moving particles is governed by a time-fractional diffusion equation on coarse scales while exhibiting a specific fine structure. Approximations beyond stochastic theory are derived from a generalized Taylor-Green-Kubo formula. 
N. Korabel (1), A.V. Chechkin (2), R. Klages (1), I.M. Sokolov (3),   V.Yu. Gonchar (2) ((1) MPIPKS Dresden, (2) ITP NSC KIP...