Rényi and Tsallis and Shannon entropies on D-posets.

This paper is devoted to introduce and study Rényi and Tsallis entropy, conditional Tsallis entropy and Tsallis mutual information of D-posets on a state s. Several relations between the conditional entropies are derived. Finally we define Tsallis entropy of dynamical system on D-posets and a new version of Kolmogorove-Sinai Theorem has been proved. [ABSTRACT FROM AUTHOR]