Abstract
Abstract
We consider the attractor
$\Lambda $
of a piecewise contracting map f defined on a compact interval. If f is injective, we show that it is possible to estimate the topological entropy of f (according to Bowen’s formula) and the Hausdorff dimension of
$\Lambda $
via the complexity associated with the orbits of the system. Specifically, we prove that both numbers are zero.
Publisher
Canadian Mathematical Society