Entropy computing via integration over fractal measures |
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Authors: | Słomczynski Wojciech Kwapien Jarosław Zyczkowski Karol |
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Institution: | Instytut Matematyki, Uniwersytet Jagiellonski, ul. Reymonta 4, 30-059, Krakow, Poland. |
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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. (c) 2000 American Institute of Physics. |
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