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Ergodic properties of a transformation of a self-similar space with a Hausdorff measure

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Abstract

On a space equipped with a Hausdorff measure and possessing the self-similarity property, we prove ergodicity and study the continuity of the transformation generated by the shift transformation on a sequence space.

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Authors and Affiliations

  1. Novosibirsk State Technical University, Novosibirsk, Russia

    N. S. Arkashov

  2. Novosibirsk State University, Novosibirsk, Russia

    N. S. Arkashov

Authors
  1. N. S. Arkashov
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Correspondence to N. S. Arkashov.

Additional information

Original Russian Text © N. S. Arkashov, 2015, published in Matematicheskie Zametki, 2015, Vol. 97, No. 2, pp. 163–173.

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Arkashov, N.S. Ergodic properties of a transformation of a self-similar space with a Hausdorff measure. Math Notes 97, 155–163 (2015). https://doi.org/10.1134/S0001434615010186

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  • DOI: https://doi.org/10.1134/S0001434615010186

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