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- W3198142876 abstract "Given a positive integer M and a real number q∈(1,M+1], an expansion of a real number x∈[0,M/(q−1)] over the alphabet A={0,1,…,M} is a sequence (ci)∈AN such that x=∑i=1∞ciq−i. Generalizing many earlier results, we investigate in this paper the topological properties of the set Uq consisting of numbers x having a unique expansion of this form, and the combinatorial properties of the set Uq′ consisting of their corresponding expansions. We also provide shorter proofs of the main results of Baker in [3] by adapting the method given in [12] for the case M=1." @default.
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- W3198142876 date "2022-05-01" @default.
- W3198142876 modified "2023-09-29" @default.
- W3198142876 title "Topology of univoque sets in real base expansions" @default.
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- W3198142876 doi "https://doi.org/10.1016/j.topol.2022.108085" @default.
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