We consider chains of one-dimensional, piecewise linear, chaotic maps with uniform slope. We study the diffusive behavior of an initially nonuniform distribution of points as a function of the slope of the map by solving the 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.

• Received 3 August 1994

DOI:https://doi.org/10.1103/PhysRevLett.74.387