On the Hausdorff Dimension of Piecewise Hyperbolic Attractors
arXiv:0904.3802
Abstract
We study non-invertible piecewise hyperbolic maps in the plane. The Hausdorff dimension of the attractor is calculated in terms of the Lyapunov exponents, provided that the map satisfies a transversality condition. Explicit examples of maps for which this condition holds are given.
21 pages, 5 figures