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Part of the book series: Applied Mathematical Sciences ((AMS,volume 97))

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Abstract

The concept of entropy was first introduced by Clausius and later used in a different form by L. Boltzmann in his pioneering work on the kinetic theory of gases published in 1866. Since then, entropy has played a pivotal role in the development of many areas in physics and chemistry and has had important ramifications in ergodic theory. However, the Boltzmann entropy is different from the Kolmogorov-Sinai-Ornstein entropy [Walters, 1975; Parry, 1981] that has been so successfully used in solving the problem of isomorphism of dynamical systems, and which is related to the work of Shannon [see Shannon and Weaver, 1949].

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© 1994 Springer Science+Business Media New York

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Lasota, A., Mackey, M.C. (1994). Entropy. In: Chaos, Fractals, and Noise. Applied Mathematical Sciences, vol 97. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4286-4_9

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  • DOI: https://doi.org/10.1007/978-1-4612-4286-4_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8723-0

  • Online ISBN: 978-1-4612-4286-4

  • eBook Packages: Springer Book Archive

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