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- W4310366597 abstract "In this paper, we study the metric theory of dyadic approximation in the middle-third Cantor set. This theory complements earlier work of Levesley, Salp, and Velani (2007), who investigated the problem of approximation in the Cantor set by triadic rationals. We find that the behaviour when we consider dyadic approximation in the Cantor set is substantially different to considering triadic approximation in the Cantor set. In some sense, this difference in behaviour is a manifestation of Furstenberg's times 2 times 3 phenomenon from dynamical systems, which asserts that the base 2 and base 3 expansions of a number are not both structured." @default.
- W4310366597 created "2022-12-09" @default.
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- W4310366597 date "2020-05-19" @default.
- W4310366597 modified "2023-10-18" @default.
- W4310366597 title "Dyadic Approximation in the Middle-Third Cantor Set" @default.
- W4310366597 doi "https://doi.org/10.48550/arxiv.2005.09300" @default.
- W4310366597 hasPublicationYear "2020" @default.
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