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A class of not local rank one automorphisms arising from continuous substitutions
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  • Published: December 1987

A class of not local rank one automorphisms arising from continuous substitutions

  • Mariusz Lemańczyk1 &
  • Andrzej Sikorski1 

Probability Theory and Related Fields volume 76, pages 421–428 (1987)Cite this article

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Summary

A simple class of not local rank one, loosely Bernoulli transformations is constructed. These examples have simple spectra. It is studied when inverse limits of local rank one transformations are again of local rank one.

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Authors and Affiliations

  1. Institute of Mathematics, Nicholas Copernicus University, Chopina 12/18, PL-87-100, Toruń, Poland

    Mariusz Lemańczyk & Andrzej Sikorski

Authors
  1. Mariusz Lemańczyk
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  2. Andrzej Sikorski
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Cite this article

Lemańczyk, M., Sikorski, A. A class of not local rank one automorphisms arising from continuous substitutions. Probab. Th. Rel. Fields 76, 421–428 (1987). https://doi.org/10.1007/BF00960066

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  • Received: 18 September 1985

  • Issue Date: December 1987

  • DOI: https://doi.org/10.1007/BF00960066

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Keywords

  • Stochastic Process
  • Probability Theory
  • Mathematical Biology
  • Inverse Limit
  • Simple Class
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