Response to Comments on "Simple Measure for Complexity"

Preprint

10 March 2000

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.nlin/0003026

Abstract

We respond to the comment by Crutchfield, Feldman and Shalizi and that by Binder and Perry, pointing out that there may be many maximum entropies, and therefore ``disorders'' and ``simple complexities''. Which ones are appropriate depend on the questions being addressed. ``Disorder'' is not restricted to be the ratio of a nonequilibrium entropy to the corresponding equilibrium entropy; therefore, ``simple complexity'' need not vanish for all equiibrium systems, nor must it be nonvanishing for a nonequilibrium system.

Keywords

NONEQUILIBRIUM ENTROPY
NONEQUILIBRIUM SYSTEM
SIMPLE COMPLEXITIES
EQUILIBRIUM ENTROPY
EQUIIBRIUM SYSTEMS
APPROPRIATE DEPEND
SIMPLE MEASURE
CRUTCHFIELD

All Related Versions

Version 1, 2000-03-10, ArXiv
Published version: Physical Review E, 62 (2), 3000.

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