Abstract

Four theorems about four different kinds of entropies for Baker'stransformation are presented. The Kolmogorov entropy of Baker'stransformation is sensitive to the initial flips by the time.The topological entropy of Baker's transformation isfound to be log k. The conditions for the state of Baker'stransformation to be forbidden are also derived. The relations amongthe Shanonn, Kolmogorov, topological and Boltzmann entropies arediscussed in details.

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