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arXiv · 0904.3802

On the Hausdorff Dimension of Piecewise Hyperbolic Attractors

Tomas Persson
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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.

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Tomas Persson. 2009-04-24. On the Hausdorff Dimension of Piecewise Hyperbolic Attractors. https://arxiv.org/abs/0904.3802

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