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...

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Bibliographic Details
Main Authors: Raymond Addabbo, Denis Blackmore
Format: Article
Language:English
Published: MDPI AG 2019-09-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/21/10/938