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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.
Tomas Persson. "On the Hausdorff dimension of piecewise hyperbolic attractors." Fundamenta Mathematicae 207.3 (2010): 255-272. <http://eudml.org/doc/282682>.
@article{TomasPersson2010, 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.}, author = {Tomas Persson}, journal = {Fundamenta Mathematicae}, keywords = {Hausdorff dimension; piecewise hyperbolic attractors}, language = {eng}, number = {3}, pages = {255-272}, title = {On the Hausdorff dimension of piecewise hyperbolic attractors}, url = {http://eudml.org/doc/282682}, volume = {207}, year = {2010}, }
TY - JOUR AU - Tomas Persson TI - On the Hausdorff dimension of piecewise hyperbolic attractors JO - Fundamenta Mathematicae PY - 2010 VL - 207 IS - 3 SP - 255 EP - 272 AB - 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. LA - eng KW - Hausdorff dimension; piecewise hyperbolic attractors UR - http://eudml.org/doc/282682 ER -