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Piecewise contracting maps on the interval: Hausdorff dimension, entropy and attractors
We consider the attractor $Λ$ 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 $Λ$ via the complexity associated with the orbits
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