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Ergodic properties of a transformation of a self-similar space with a Hausdorff measure. (English. Russian original) Zbl 1318.28010
Math. Notes 97, No. 2, 155-163 (2015); translation from Mat. Zametki 97, No. 2, 163-173 (2015).
Summary: 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.

28A78 Hausdorff and packing measures
37A25 Ergodicity, mixing, rates of mixing
Full Text: DOI
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