Greedy expansions and sets with deleted digits (Q1770394)
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scientific article; zbMATH DE number 2153190
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Greedy expansions and sets with deleted digits |
scientific article; zbMATH DE number 2153190 |
Statements
Greedy expansions and sets with deleted digits (English)
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6 April 2005
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The author studies expansions of real numbers with respect to a base \(q>1\) with general finite digit sets. In case \(q\) is an integer or a Pisot number, greedy automata recognising constructions are presented. Generalizing a result of \textit{Z. Daróczy} and \textit{I. Kátai} [Publ. Math. 46, No. 3--4, 385--408 (1985; Zbl 0874.11013)], real numbers with unique representation are characterized. Also, periodicity of representations is investigated in a general setting.
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non-integer bases
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expansions
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automata
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Pisot-number
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