Abstract
There exists a regular Toeplitz sequence over a finite alphabet, such that its orbit-closure in the shift system is not topologically coalescent. The notion of a Toeplitz array is introduced.
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W. Bułatek and J. Kwiatkowski,The topological centralizers of Toeplitz flows and their Z 2 -extensions, Publications Mathématiques le l’IHES34 (1990), 45–65.
W. Bułatek and J. Kwiatkowski,Strictly ergodic Toeplitz flows with positive entropies and trivial centralizers, Studia Mathematica103 (1992), 133–142.
T. Downarowicz,How a function on a zero-dimensional group Δ a defines a Toeplitz flow, Bulletin of the Polish Academy of Sciences38 (1990), 219–222.
T. Downarowicz,The Choquet simplex of invariant measures for minimal flows, Israel Journal of Mathematics74 (1991), 241–256.
T. Downarowicz, J. Kwiatkowski and Y. Lacroix,A criterion for Toeplitz flows to be topologically isomorphic and applications, Colloquium Mathematicum68 (1995), 219–228.
T. Downarowicz and Y. Lacroix,A nonregular Toeplitz flow with preset pure point spectrum, Studia Mathematica, to appear.
A. Iwanik,Toeplitz flows with pure point spectrum, Studia Mathematica118 (1996), 27–35.
A. Iwanik and Y. Lacroix,Some constructions of strictly ergodic non-regular Toeplitz flows, Studia Mathematica110 (1994), 191–203.
K. Jacobs and M. Keane,0–1 sequences of Toeplitz type, Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete13 (1969), 123–131.
J. C. Oxtoby,Ergodic sets, Bulletin of the American Mathematical Society58 (1952), 116–136.
S. Williams,Toeplitz minimal flows which are not uniquely ergodic, Zeitschrift für Wahrscheinlichkeitstheorie und Verwandte Gebiete67 (1984), 95–107.
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Supported by KBN grant 2 P 03A07608.
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Downarowicz, T. The royal couple conceals their mutual relationship: A noncoalescent toeplitz flow. Isr. J. Math. 97, 239–251 (1997). https://doi.org/10.1007/BF02774039
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DOI: https://doi.org/10.1007/BF02774039