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Three Basic Examples

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Weakly Wandering Sequences in Ergodic Theory

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Abstract

In this chapter we present and discuss three basic examples of infinite ergodic transformations. We show some special and unique properties these transformations possess. These properties involve characteristics of infinite ergodic transformations that distinguish the transformations from finite ergodic transformations.

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References

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Authors and Affiliations

  1. Department of Mathematics, Northeastern University, Boston, MA, USA

    Stanley Eigen & Arshag Hajian

  2. Department of Mathematics, Keio University, Yokohama, Japan

    Yuji Ito (emeritus)

  3. Department of Mathematical Sciences, University of Massachusetts Lowell, Lowell, MA, USA

    Vidhu Prasad

Authors
  1. Stanley Eigen
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  2. Arshag Hajian
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  3. Yuji Ito
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  4. Vidhu Prasad
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Eigen, S., Hajian, A., Ito, Y., Prasad, V. (2014). Three Basic Examples. In: Weakly Wandering Sequences in Ergodic Theory. Springer Monographs in Mathematics. Springer, Tokyo. https://doi.org/10.1007/978-4-431-55108-9_4

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