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Ergodic Theory

  • Conference paper
The Boltzmann Equation

Part of the book series: Acta Physica Austriaca ((FEWBODY,volume 10/1973))

Abstract

Apparently there are at least two reasons why ergodic theory has the honour to be discussed at this solemn Conference. The first reason follows from the fact that Ludwig Boltzmann is one of the founders of ergodic theory. The term “ergodicity” was introduced by Ludwig Boltzmann in his paper [1] in 1887 (see also his “Lectures on Gas Theory”). In fact it is connected with another remarkable discovery by Boltzmann of how dynamical laws of motions can lead to statistics. As a result, ergodic theory is a branch of mathematics which investigates statistical properties of dynamical systems. The second reason is that the concepts of ergodicity and mixing of Ludwig Boltzmann and J. Gibbs have become very fruitful and given many new notions, ideas and results of a general character. The mathematics clarified the essence of these concepts and gave deeper penetration into many problems. This led to some progress in the solution of these problems.

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Author information

Authors and Affiliations

  1. Landau Institute for Theoretical Physics, Academy of Sciences, USSR

    Ya. G. Sinai

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  1. Ya. G. Sinai
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Editor information

Editors and Affiliations

  1. The Rockefeller University, New York, N.Y., USA

    E. G. D. Cohen

  2. Institute for Theoretical Physics, University of Vienna, Vienna, Austria

    W. Thirring

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© 1973 Springer-Verlag

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Sinai, Y.G. (1973). Ergodic Theory. In: Cohen, E.G.D., Thirring, W. (eds) The Boltzmann Equation. Acta Physica Austriaca, vol 10/1973. Springer, Vienna. https://doi.org/10.1007/978-3-7091-8336-6_23

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  • DOI: https://doi.org/10.1007/978-3-7091-8336-6_23

  • Publisher Name: Springer, Vienna

  • Print ISBN: 978-3-7091-8338-0

  • Online ISBN: 978-3-7091-8336-6

  • eBook Packages: Springer Book Archive

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