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ArticleOriginal scientific text

Title

Some constructions of strictly ergodic non-regular Toeplitz flows

Authors 1, 2

Affiliations

  1. Institute of Mathematics, Technical University of Wrocław, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland
  2. Université de Bretagne Occidentale, Faculté des Sciences et Techniques, Département de Mathématiques, 6, Av. V. Le Gorgeu, 29275 Brest, France

Abstract

We give a necessary and sufficient condition for a Toeplitz flow to be strictly ergodic. Next we show that the regularity of a Toeplitz flow is not a topological invariant and define the "eventual regularity" as a sequence; its behavior at infinity is topologically invariant. A relation between regularity and topological entropy is given. Finally, we construct strictly ergodic Toeplitz flows with "good" cyclic approximation and non-discrete spectrum.

Bibliography

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Studia Mathematica
1994/110/2
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Pages:
191-203
Main language of publication
English
Received
1993-11-02
Accepted
1994-02-02
Published
1994
Exact and natural sciences