Conditional Brin-Katok’s entropy formula for monotonic partitions on Feldman-Katok metric. (English) Zbl 07846647
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.
MSC:
| 28D20 | Entropy and other invariants |
| 37A35 | Entropy and other invariants, isomorphism, classification in ergodic theory |
| 37A05 | Dynamical aspects of measure-preserving transformations |
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