On the Hausdorff dimension of piecewise hyperbolic attractors

• Autorzy: Tomas Persson
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37C45: Dimension theory of dynamical systems
• 37D50: Hyperbolic systems with singularities (billiards, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2010
• Tom: 207
• Numer: 3
• Strony: 255-272

Daty

wydano

2010

Twórcy

autor

Tomas Persson

• Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-956 Warszawa, Poland

Identyfikatory

DOI

10.4064/fm207-3-3