Statistical complexity and disequilibrium

Abstract We study the concept of disequilibrium as an essential ingredient of a family of statistical complexity measures. We find that Wootters' objections to the use of Euclidean distances for probability spaces become quite relevant to this endeavor. Replacing the Euclidean distance by the Wootters' one noticeably improves the behavior of the associated statistical complexity measure, as evidenced by its application to the dynamics of the logistic map.

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