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RELATIVE INFORMATION FUNCTIONAL OF RELATIVE DYNAMICAL SYSTEMS | ||
Journal of Mahani Mathematical Research | ||
مقاله 2، دوره 2، شماره 2، بهمن 2013، صفحه 17-28 اصل مقاله (90.23 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22103/jmmrc.2014.865 | ||
نویسنده | ||
UOSEF MOHAMMADI* | ||
DEPARTMENT OF MATHEMATICS, FACULTY OF SCIENCE UNIVERSITY OF JIROFT , JIROFT, IRAN, 78671-61167. | ||
چکیده | ||
In this paper by use of mathematical modeling of an observer [14, 15] the notion of relative information functional for relative dynamical systems on compact metric spaces is presented. We extract the information function of an ergodic dynamical system (X,T) from the relative information of T from the 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 dynamical system , under topological isomorphism, to the relative information functional. | ||
کلیدواژهها | ||
Information function؛ relative dynamical system؛ relative generator؛ relative measure؛ relative information functional | ||
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