Comment on "Simple Measure of Complexity"

Details Comment on "Simple Measure of Complexity" Comment on "Simple Measure of Complexity"

1999-06-26

arxiv.org/abs/chao-dyn/9907001v2

Nonlinear Sciences

Chaotic Dynamics

2 pages, no figures; http://www.santafe.edu/projects/CompMech/papers/shiner.html; Referee clarifications included

Scientific paper

10.1103/PhysRevE.62.2996

We critique the measure of complexity introduced by Shiner, Davison, and Landsberg in Ref. [1]. In particular, we point out that it is over-universal, in the sense that it has the same dependence on disorder for structurally distinct systems. We then give counterexamples to the claim that complexity is synonymous with being out of equilibrium: equilibrium systems can be structurally complex and nonequilibrium systems can be structurally simple. We also correct a misinterpretation of a result given by two of the present authors in Ref. [2]. [1] J. S. Shiner, M. Davison, and P. T. Landsberg, ``Simple Measure for Complexity'', Phys. Rev. E 59 (1999) 1459-1464. [2] J. P. Crutchfield and D. P. Feldman, ``Statistical Complexity of Simple One-Dimensional Spin Systems'', Phys. Rev. E 55:2 (1997) 1239R-1243R.

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