RELATIVE INFORMATION FUNCTIONAL OF RELATIVE DYNAMICAL SYSTEMS
Publish place: Journal of Mahani Mathematical Research، Vol: 2، Issue: 2
Publish Year: 1392
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_KJMMRC-2-2_002
تاریخ نمایه سازی: 5 خرداد 1398
Abstract:
In this paper by use of mathematical modeling of an observer [14,15] the notion of relative information functional for relative dynamical systemson compact metric spaces is presented. We extract the information function ofan ergodic dynamical system (X,T) from the relative information of T fromthe view point of observer χX, where X denotes the base space of the system.We also generalize the invariance of the information function of a dynamicalsystem , under topological isomorphism, to the relative information functional.
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Authors
UOSEF MOHAMMADI
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE UNIVERSITY OF JIROFT , JIROFT, IRAN, ۷۸۶۷۱-۶۱۱۶۷.
HAMID REZA AFSHIN
DEPARTMENT OF MATHEMATICS, VALI-E-ASR UNIVERSITY OF RAFSANJAN, P. O. BOX ۵۱۸, RAFSANJAN, IRAN