Entropy of Baker’s Transformation

Chin. Phys. Lett.

2003, Vol. 20

Issue (3): 392-394 DOI:

Original Articles

Entropy of Baker’s Transformation

LUAN Chang-Fu

Department of Mathematics, South China University of Technology, Guangzhou 510640

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LUAN Chang-Fu 2003 Chin. Phys. Lett. 20 392-394

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Abstract Four theorems about four different kinds of entropies for Baker’s transformation are presented. The Kolmogorov entropy of Baker’s transformation is sensitive to the initial flips by the time. The topological entropy of Baker’s transformation is found to be logk. The conditions for the state of Baker’s transformation to be forbidden are also derived. The relations among the Shanonn, Kolmogorov, topological and Boltzmann entropies are discussed in details.

Keywords: 65.40.Gr 65.50.+m 67.40.Fd

Published: 01 March 2003

PACS:	65.40.Gr
	65.50.+m
	67.40.Fd

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2003/V20/I3/0392

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