A Dynamical Systems-Based Hierarchy for Shannon, Metric and Topological Entropy
A rigorous dynamical systems-based hierarchy is established for the definitions of entropy of Shannon (information), Kolmogorov−Sinai (metric) and Adler, Konheim & McAndrew (topological). In particular, metric entropy, with the imposition of some additional properties, is proven to...
Main Authors: | Raymond Addabbo, Denis Blackmore |
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Format: | Article |
Language: | English |
Published: |
MDPI AG
2019-09-01
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Series: | Entropy |
Subjects: | |
Online Access: | https://www.mdpi.com/1099-4300/21/10/938 |
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