University of Jiroft | Uosef mohammadi

Research

Title	Observational Modeling of the Kolmogorov-Sinai Entropy
Type	Article
Keywords	Relative entropy, Relative semi-dynamical system, m- equivalence, m-generator, (1;2)-isomorphism
Researchers	Uosef mohammadi

Abstract

In this paper, Kolmogorov-Sinai entropy is studied us- ing mathematical modeling of an observer \Theta. The relative entropy of a sub--algebra having finite atoms is defined and then the ergodic properties of relative semi-dynamical systems are inves- tigated. Also, a relative version of Kolmogorov-Sinai theorem is given. Finally, it is proved that the relative entropy of a relative -measure preserving transformations with respect to a relative sub-\Theta-algebra having nite atoms is affine.