Simple Maps with Fractal Diffusion Coefficients
  We consider chains of one-dimensional, piecewise linear, chaotic maps with uniform slope. We study the diffusive behaviour of an initially nonuniform distribution of points as a function of the slope of the map by solving Frobenius-Perron equation. For Markov partition values of the slope, we relate the diffusion coefficient to eigenvalues of the topological transition matrix. The diffusion coefficient obtained shows a fractal structure as a function of the slope of the map. This result may be typical for a wide class of maps, such as two dimensional sawtooth maps. 
R. Klages (Inst. f. Theoret. Physik, TU Berlin) and J.R. Dorfman   (IPST, Univ. of Maryland)