Conditional Brin-Katok's entropy formula for monotonic partitions on Feldman-Katok metric

In this paper, we build the Brin-Katok's formula of conditional entropy with respect to invariant, decreasing and a large family of increasing measurable partitions by replacing the Bowen metric with the Feldman-Katok metric.

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Bibliographic Details
Published in:Dynamical systems (London, England) England), 2024-04, Vol.39 (2), p.183-205
Main Authors: Fang, Xiaona, Lu, Ran
Format: Article
Language:English
Subjects:
Brin-Katok's formula
Conditional entropy
Entropy
Feldman-Katok metric
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Summary:In this paper, we build the Brin-Katok's formula of conditional entropy with respect to invariant, decreasing and a large family of increasing measurable partitions by replacing the Bowen metric with the Feldman-Katok metric.
ISSN:1468-9367
1468-9375
DOI:10.1080/14689367.2023.2254260