Geodesic
On the Hausdorff dimension of piecewise hyperbolic attractors
Tomas Persson1
1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland
Fundamenta Mathematicae, Tome 207 (2010) no. 3, pp. 255-272

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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.
DOI : 10.4064/fm207-3-3
Keywords: study non invertible piecewise hyperbolic maps plane hausdorff dimension attractor calculated terms lyapunov exponents provided map satisfies transversality condition explicit examples maps which condition holds given

Tomas Persson 1

1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland 
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Tomas Persson. On the Hausdorff dimension of
 piecewise hyperbolic attractors. Fundamenta Mathematicae, Tome 207 (2010) no. 3, pp. 255-272. doi: 10.4064/fm207-3-3

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