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The algorithmic information content for randomly perturbed systems

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  • In this paper we prove estimates on the behaviour of the Kolmogorov-Sinai entropy relative to a partition for randomly perturbed dynamical systems. Our estimates use the entropy for the unperturbed system and are obtained using the notion of Algorithmic Information Content. The main result is an extension of known results to study time series obtained by the observation of real systems.
    Mathematics Subject Classification: 28D20, 37A50, 37M25, 60H40.

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