Abstract
Contrary to the classical situation, in noninteger bases almost all numbers have a continuum of distinct expansions. However, the set of numbers having a unique expansions also has a rich topological and combinatorial structure. We clarify the connection of this set with the sets of numbers having a unique infinite or doubly infinite expansion.
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Komornik, V. Unique infinite expansions in noninteger bases. Acta Math Hung 134, 344–355 (2012). https://doi.org/10.1007/s10474-011-0148-5
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DOI: https://doi.org/10.1007/s10474-011-0148-5