English

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

adap-org 2009-10-30 v2 Adaptation and Self-Organizing Systems

Abstract

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.

Keywords

Cite

@article{arxiv.adap-org/9802001,
  title  = {Conditional exponents, entropies and a measure of dynamical self-organization},
  author = {R. Vilela Mendes},
  journal= {arXiv preprint arXiv:adap-org/9802001},
  year   = {2009}
}

Comments

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