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Strict ergodicity in zero dimensional dynamical systems and the Kronecker-Weyl theorem \(\bmod 2\). (English) Zbl 0201.05601
This paper provides proofs of results announced in [Proc. Natl. Acad. Sci. USA 60, 1163–1164 (1968; Zbl 0175.33201)] and continues the investigation of questions relating to the Kronecker-Weyl theorem. The results are deep and interesting. Several open questions are raised.
Reviewer: Ulrich Krengel

MSC:
11K55 Metric theory of other algorithms and expansions; measure and Hausdorff dimension
28D05 Measure-preserving transformations
37A45 Relations of ergodic theory with number theory and harmonic analysis (MSC2010)
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