Entropy and Ergodicity of Boole-Type Transformations

Entropy and Ergodicity of Boole-Type Transformations

We review some analytic, measure-theoretic and topological techniques for studying ergodicity and entropy of discrete dynamical systems, with a focus on Boole-type transformations and their generalizations. In particular, we present a new proof of the ergodicity of the 1-dimensional Boole map and pr...

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Bibliographic Details
Main Authors: Denis Blackmore, Alexander A. Balinsky, Radoslaw Kycia, Anatolij K. Prykarpatski
Format: Article
Language:English
Published: MDPI AG 2021-10-01
Series:Entropy
Subjects:
discrete transformations
invariant measure
ergodicity
entropy
Bernoulli type transformations
Boole-type transformations
Online Access:https://www.mdpi.com/1099-4300/23/11/1405

Internet

https://www.mdpi.com/1099-4300/23/11/1405

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