Limit laws of entrance times for low-complexity Cantor minimal systems (Q2730676)
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scientific article; zbMATH DE number 1624844
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Limit laws of entrance times for low-complexity Cantor minimal systems |
scientific article; zbMATH DE number 1624844 |
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Limit laws of entrance times for low-complexity Cantor minimal systems (English)
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10 March 2003
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cylinder sets
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limit laws of substitution subshifts
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linearly recurrent subshifts
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Sturmian subshifts
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stationary Bratelli-Vershik systems
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nonstationary Bratelli-Vershik systems
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point process
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The authors study limit laws of entrance times to cylinder sets for Cantor minimal systems of zero entropy using their representation by means of ordered Bratelli diagrams. It is proved that limit laws of substitution subshifts are piecewise-linear functions. There are considered also linearly recurrent subshifts and Sturmian subshifts. The contents of the paper can be well described by the titles of sections: Introduction, Limit laws for stationary Bratelli-Vershik systems, Limit laws for nonstationary Bratelli-Vershik systems, Point process induced by entrance times, Final comments and questions. Several instructive examples are presented.
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