S. Baker

activity

20122023

most citedUnique expansions and intersections of Cantor sets

10 citations · 77 across the 32 of their papers we have counts for

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Showing 2021 · math.NTShow all

2 papers · 2 filters

math.NT2021

Metric results for numbers with multiple $q$ -expansions

Simon Baker, Yuru Zou

Let $M$ be a positive integer and $q \in (1, M + 1]$ . A $q$ -expansion of a real number $x$ is a sequence $(c_{i}) = c_{1} c_{2} \dots$ with $c_{i} \in {0, 1, \dots, M}$ such that $x=\sum_{i=1}^{…

math.NT2021

Intrinsic Diophantine Approximation for overlapping iterated function systems

Simon Baker

In this paper we study a family of limsup sets that are defined using iterated function systems. Our main result is an analogue of Khintchine's theorem for these sets. We then appl…

Metric results for numbers with multiple q-expansions

Intrinsic Diophantine Approximation for overlapping iterated function systems

Metric results for numbers with multiple $q$ -expansions