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Almost constant sequences of transformations

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Abstract

We study sequences (T n ) of isometries resp. affine transformations on a compact, metrizable topological group, with the property that for any uniformly distributed sequence (x n ) the sequence (T n x n ) is again uniformly distributed.

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References

  1. Kuipers, L., andH. Niederreiter: Uniform Distribution of Sequences. New York: J. Wiley & Sons. 1974.

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  2. Rauzy, G.: Étude de quelques ensembles de fonction définis par des proprietés de moyenne. Thérorie des Nombres, Univ. de Bordeaux 1972/73, Exp. 20.

  3. Rindler, H.: Fast konstante Folgen. Acta Arithm. (To appear.)

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Authors and Affiliations

  1. Mathematisches Institut der Universität, Strudlhofgasse 4, A-1090, Wien, Austria

    Viktor Losert

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  1. Viktor Losert
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Losert, V. Almost constant sequences of transformations. Monatshefte für Mathematik 85, 105–113 (1978). https://doi.org/10.1007/BF01297540

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  • DOI: https://doi.org/10.1007/BF01297540

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