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Relative entropy of relative measure preserving maps with constant observers. (English) Zbl 1136.37001

Summary: The notion of relative entropy for a finite relative partition is considered. A relative measure-preserving map on a relative probability space with a constant observer is studied. The notion of relative entropy for relative measure-preserving maps is considered. A relative probability spaces and relative entropy as a generalization of the notions of fuzzy probability space and the entropy of fuzzy dynamical systems are studied.

MSC:

37A05 Dynamical aspects of measure-preserving transformations
28D05 Measure-preserving transformations
37B40 Topological entropy
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References:

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