Abstract
We introduce the concepts of Shannon’s entropy for discrete sample spaces, the Kolmogorov entropy for measurable transformations, the topological entropy for continuous transformations on compact metric spaces, and the Boltzmann entropy of density functions. We also study some relationship between the Boltzmann entropy and the iteration of a Frobenius-Perron operator.
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© 2009 Tsinghua University Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg
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Ding, J., Zhou, A. (2009). Entropy. In: Statistical Properties of Deterministic Systems. Tsinghua University Texts. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-85367-1_8
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DOI: https://doi.org/10.1007/978-3-540-85367-1_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-85366-4
Online ISBN: 978-3-540-85367-1
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