@article {
author = {Mohammadi, Uosef},
title = {Observational Modeling of the Kolmogorov-Sinai Entropy},
journal = {Sahand Communications in Mathematical Analysis},
volume = {13},
number = {1},
pages = {101-114},
year = {2019},
publisher = {University of Maragheh},
issn = {2322-5807},
eissn = {2423-3900},
doi = {10.22130/scma.2018.29983},
abstract = {In this paper, Kolmogorov-Sinai entropy is studied using mathematical modeling of an observer $ \Theta $. The relative entropy of a sub-$ \sigma_\Theta $-algebra having finite atoms is defined and then the ergodic properties of relative semi-dynamical systems are investigated. Also, a relative version of Kolmogorov-Sinai theorem is given. Finally, it is proved that the relative entropy of a relative $ \Theta $-measure preserving transformations with respect to a relative sub-$\sigma_\Theta$-algebra having finite atoms is affine.},
keywords = {Relative entropy,Relative semi-dynamical system,$m_\Theta$-equivalence,$m_\Theta$-generator,$ (\Theta_1,\Theta_2) $-isomorphism},
url = {https://scma.maragheh.ac.ir/article_29983.html},
eprint = {https://scma.maragheh.ac.ir/article_29983_7a5face43ae162c0c5d62beecf8dc888.pdf}
}