Geodesic
Affinity of the Arov Entropy
Funkcionalʹnyj analiz i ego priloženiâ, Tome 52 (2018) no. 3, pp. 22-31

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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.
Mots-clés : Lebesgue space automorphism, Bernoulli partition
Keywords: decomposition into ergodic components, automorphism generator, Kolmogorov–Sinai entropy, automorphism entropy with respect to a partition, mean entropy over the elements of a fixed partition. 
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     author = {B. M. Gurevich},
     title = {Affinity of the {Arov} {Entropy}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
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     publisher = {mathdoc},
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     year = {2018},
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     url = {http://geodesic.mathdoc.fr/item/FAA_2018_52_3_a1/}
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B. M. Gurevich. Affinity of the Arov Entropy. Funkcionalʹnyj analiz i ego priloženiâ, Tome 52 (2018) no. 3, pp. 22-31. http://geodesic.mathdoc.fr/item/FAA_2018_52_3_a1/