Resumen

ESTEVEZ-RAMS, Ernesto et al. Information analysis of pattern and randomness. Rev cuba cienc informat [online]. 2016, vol.10, suppl.1, pp.252-268. ISSN 2227-1899.

ABSTRACT Complex patterns are ubiquitous in nature and its emergence is the subject of much research using a wide range of mathematical tools.  On one side of complexity lies completely periodic system, and in the other side random behavior, both trivially simple from a statistical point of view. A fingerprint of complexity is the existence of large spatio-temporal correlations in the system dynamics. In this contribution, we will review two threads in complexity analysis, both steaming from information theory: Lempel-Ziv analysis of complexity, and computational mechanics. We discuss the usefulness of both approaches through the analysis of several examples. A first system will be the spatio-temporal evolution of cellular automata where transfer of information can be quantified by Lempel-Ziv measures. A second example will be random walk with bias and persistence; computational-mechanics will prove adequate for assessing the amount of wandering vs the patterned movement of the walker. Finally, disorder and pattern forming in layer crystal structure will be analyzed. Wrapping up, some discussion on the general nature of the examples analysis will be carried pointing to the appropriateness of the developed tools for studying the computational processing capabilities of complex systems

Palabras clave : complexity; information; Lempel-Ziv; computational mechanics.

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