May 6, 2024
Uosef mohammadi

Uosef mohammadi

Academic rank: Assistant professor
Address: University of Jiroft
Education: PhD. in Dynamical Systems
Phone: 034-43311833
Faculty:

Research

Title
Relative model of the logical entropy of sub-$\sigma_\Theta$-algebras
Type Article
Keywords
Observer‎, ‎Relative logical entropy‎, ‎Sub-$ \sigma_\Theta $-algebra‎, ‎Invariant
Researchers Uosef mohammadi

Abstract

‎In the context of observers‎, ‎any mathematical model according to the viewpoint of an observer $ \Theta $ is called a relative model‎. ‎The purpose of the present paper is to study the relative model of logical entropy‎. ‎Given an observer $ \Theta $‎, ‎we define the relative logical entropy and relative conditional logical entropy of a sub-$ \sigma_\Theta $-algebra having finitely many atoms on the relative probability $ \Theta‎- ‎$measure space and prove the ergodic properties of these measures‎. ‎Finally‎, ‎it is shown that the relative logical entropy is invariant under‎ ‎the relation of equivalence modulo zero