On the Hausdorff dimension of piecewise hyperbolic attractors
Tomas Persson
Fundamenta Mathematicae, Tome 209 (2010), p. 255-272 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2010-01-01
EUDML-ID : urn:eudml:doc:282682 
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Tomas Persson. On the Hausdorff dimension of piecewise hyperbolic attractors. Fundamenta Mathematicae, Tome 209 (2010) pp. 255-272. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm207-3-3/