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Metric Permutation Entropy

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Abstract

The word “entropy” was coined by the German physicist R. Clausius (1822–1888), who introduced it in thermodynamics in 1865 to measure the amount of energy in a system that cannot produce work. The fact that the entropy of an isolated system never decreases constitutes the second law of thermodynamics and clearly shows the central role of entropy in many-particle physics. The direction of time is then explained as a consequence of the increase of entropy in all irreversible processes. Later on the concept of entropy was given a microscopic interpretation in the foundational works of L. Boltzmann (1844–1906) on gas kinetics and statistical mechanics [184]. The celebrated Boltzmann’s equation reads in the usual physical notation

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Correspondence to José María Amigó .

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Amigó, J.M. (2010). Metric Permutation Entropy. In: Permutation Complexity in Dynamical Systems. Springer Series in Synergetics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04084-9_6

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  • DOI: https://doi.org/10.1007/978-3-642-04084-9_6

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