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Entropy computing via integration over fractal measures

Wojciech Slomczynski·Jaroslaw Kwapien·Karol Zyczkowski
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Abstract

We discuss the properties of invariant measures corresponding to iterated function systems (IFSs) with place-dependent probabilities and compute their Renyi entropies, generalized dimensions, and multifractal spectra. It is shown that with certain dynamical systems one can associate the corresponding IFSs in such a way that their generalized entropies are equal. This provides a new method of computing entropy for some classical and quantum dynamical systems. Numerical techniques are based on integration over the fractal measures.

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Wojciech Slomczynski, Jaroslaw Kwapien, Karol Zyczkowski. 1999-09-02. Entropy computing via integration over fractal measures. https://doi.org/10.1063/1.166492

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