We investigate optimal expansions of Kakeya sequences for the presentation of real numbers. Expansions of Kakeya sequences generalize the expansions in non-integer bases and they display analogous redundancy phenomena. In this paper, we characterize optimal expansions of Kakeya sequences, and we provide conditions for the existence of unique expansions with respect to Kakeyasequences.
Optimal expansions of Kakeya sequences / Lai, A. C.; Loreti, P.. - In: ACTA MATHEMATICA HUNGARICA. - ISSN 0236-5294. - (2024). [10.1007/s10474-024-01453-8]
Optimal expansions of Kakeya sequences
Lai, A. C.
;Loreti, P.
2024
Abstract
We investigate optimal expansions of Kakeya sequences for the presentation of real numbers. Expansions of Kakeya sequences generalize the expansions in non-integer bases and they display analogous redundancy phenomena. In this paper, we characterize optimal expansions of Kakeya sequences, and we provide conditions for the existence of unique expansions with respect to Kakeyasequences.File allegati a questo prodotto
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