Entropy computing via integration over fractal measures.
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.
Słomczynski
Wojciech
W
Instytut Matematyki, Uniwersytet Jagiellonski, ul. Reymonta 4, 30-059, Krakow, Poland.
Kwapien
Jarosław
J
Zyczkowski
Karol
K