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Operator Theoretic Aspects of Ergodic Theory pp 461–477Cite as

More Ergodic Theorems

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Part of the book series: Graduate Texts in Mathematics ((GTM,volume 272))

Abstract

As we saw in previous chapters, ergodic theorems, even though being originally motivated by a recurrence question from physics, found applications in unexpected areas such as number theory. So it is not surprising that they attracted continuous attention among the mathematical community, thus leading to various generalizations and extensions. In this chapter we describe a very few of them.

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Notes

  1. 1.

    Every real story is a Neverending Story.

  2. 2.

    Die unendliche Geschichte, Thienemann Verlag, 2012 ⋅ Translation from: Michael Ende, The Neverending Story, translated by Ralph Mannheim, Puffin Books, 1983.

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Authors and Affiliations

  1. Institute of Mathematics, University of Leipzig, Leipzig, Germany

    Tanja Eisner

  2. School of Mathematics and Natural Sciences, University of Wuppertal, Wuppertal, Germany

    Bálint Farkas

  3. Department of Mathematics, Kiel University, Kiel, Germany

    Markus Haase

  4. Mathematical Institute, University of Tübingen, Tübingen, Germany

    Rainer Nagel

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  1. Tanja Eisner
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  4. Rainer Nagel
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© 2015 Tanja Eisner, Bálint Farkas, Markus Haase, and Rainer Nagel

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Eisner, T., Farkas, B., Haase, M., Nagel, R. (2015). More Ergodic Theorems. In: Operator Theoretic Aspects of Ergodic Theory. Graduate Texts in Mathematics, vol 272. Springer, Cham. https://doi.org/10.1007/978-3-319-16898-2_21

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