Entropy computing via integration over fractal measures
chao-dyn
2009-10-31 v3 Chaotic Dynamics
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.
Cite
@article{arxiv.chao-dyn/9804006,
title = {Entropy computing via integration over fractal measures},
author = {Wojciech Slomczynski and Jaroslaw Kwapien and Karol Zyczkowski},
journal= {arXiv preprint arXiv:chao-dyn/9804006},
year = {2009}
}
Comments
14 pages in Latex, Revtex + 4 figures in .ps attached (revised version, new title, several changes, to appear in CHAOS)