Conditional exponents, entropies and a measure of dynamical self-organization

Details Conditional exponents, entropies and a measure of dynamical self-organization Conditional exponents, entropies and a measure of dynamical self-organization

1998-02-05

arxiv.org/abs/adap-org/9802001v2

Physics Letters A 248 (1998) 167

Nonlinear Sciences

Adaptation and Self-Organizing Systems

6 pages Latex, 1 black and white and 2 color figures, replacement of damaged gif files

Scientific paper

10.1016/S0375-9601(98)00604-5

In dynamical systems composed of interacting parts, conditional exponents,
conditional exponent entropies and cylindrical entropies are shown to be well
defined ergodic invariants which characterize the dynamical selforganization
and statitical independence of the constituent parts. An example of interacting
Bernoulli units is used to illustrate the nature of these invariants.

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