Affinity of the Arov Entropy

In this work we continue the study of historically the first version of dynamical entropy. This version was suggested in master’s thesis by D. Arov and went practically unnoticed. The main result of the paper is that the Arov entropy, like the Kolmogorov–Sinai entropy, has the affine property. This,...

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Bibliographic Details
Published in:Functional analysis and its applications 2018-07, Vol.52 (3), p.178-185
Main Author: Gurevich, B. M.
Format: Article
Language:English
Subjects:
Analysis
Entropy
Functional Analysis
Mathematics
Mathematics and Statistics
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Summary:In this work we continue the study of historically the first version of dynamical entropy. This version was suggested in master’s thesis by D. Arov and went practically unnoticed. The main result of the paper is that the Arov entropy, like the Kolmogorov–Sinai entropy, has the affine property. This, in particular, allows constructing a variety of dynamical systems where the Arov entropy is not determined by the Kolmogorov–Sinai entropy.
ISSN:0016-2663
1573-8485
DOI:10.1007/s10688-018-0226-3