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. The notion of conditional Lyapunov exponents (originally called sub-Lyapunov exponents) was introduced by Pecora and… CONTINUE READING