Enlarged scaling ranges for the KS-entropy and the information dimension

Details Enlarged scaling ranges for the KS-entropy and the information dimension Enlarged scaling ranges for the KS-entropy and the information dimension

2002-03-21

arxiv.org/abs/cond-mat/0203439v1

CHAOS Vol. 6, No. 2, (1996) 167-171

Physics

Condensed Matter

Statistical Mechanics

5 pages, 6 figures

Scientific paper

10.1063/1.166161

Numerical estimates of the Kolmogorov-Sinai entropy based on a finite amount of data decay towards zero in the relevant limits. Rewriting differences of block entropies as averages over decay rates, and ignoring all parts of the sample where these rates are uncomputable because of the lack of neighbours, yields improved entropy estimates. In the same way, the scaling range for estimates of the information dimension can be extended considerably. The improvement is demonstrated for experimental data.

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