Entropy computing via integration over fractal measures

Details Entropy computing via integration over fractal measures Entropy computing via integration over fractal measures

1998-04-02

arxiv.org/abs/chao-dyn/9804006v3

CHAOS 10 (2000) 180-188

Nonlinear Sciences

Chaotic Dynamics

14 pages in Latex, Revtex + 4 figures in .ps attached (revised version, new title, several changes, to appear in CHAOS)

Scientific paper

10.1063/1.166492

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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