Wydawnictwa / Czasopisma IMPAN / Fundamenta Mathematicae / Wszystkie zeszyty

On the Hausdorff dimension of piecewise hyperbolic attractors

Tom 207 / 2010

Fundamenta Mathematicae 207 (2010), 255-272 MSC: 37D50, 37C45. DOI: 10.4064/fm207-3-3

Streszczenie

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.