A standardized approach to the Kolmogorov-Sinai entropy

We present a description of the Kolmogorov-Sinai entropy of ergodic multidimensional dynamical systems and of continuous multidimensional dynamical systems with compact state space, which is based on the ordinal structure of the systems and allows a standardized measurement of their complexity. Moreover, we relate the Kolmogorov-Sinai entropy to a multidimensional version of the permutation entropy.