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ArticleOriginal scientific text

Title

Toeplitz flows with pure point spectrum

Authors 1

Affiliations

  1. Institute of Mathematics, Technical University of Wrocław, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Poland

Abstract

We construct strictly ergodic 0-1 Toeplitz flows with pure point spectrum and irrational eigenvalues. It is also shown that the property of being regular is not a measure-theoretic invariant for strictly ergodic Toeplitz flows.

Keywords

ENG
Toeplitz sequence, Sturmian sequence, group extension, pure point spectrum

Bibliography

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Studia Mathematica
1996/118/1
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Pages:
27-35
Main language of publication
English
Received
1994-10-28
Accepted
1995-11-16
Published
1996
Exact and natural sciences