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 2016 · math.DSShow all

3 papers · 2 filters

math.DS2016★ 10 cited

An analogue of Khintchine's theorem for self-conformal sets

Simon Baker

Khintchine's theorem is a classical result from metric number theory which relates the Lebesgue measure of certain limsup sets with the convergence/divergence of naturally occurrin…

math.DS2016★ 8 cited

Entropy, topological transitivity, and dimensional properties of unique $q$ -expansions

Rafael Alcaraz Barrera, Simon Baker, Derong Kong

Let $M$ be a positive integer and $q \in (1, M + 1] .$ We consider expansions of real numbers in base $q$ over the alphabet ${0, \dots, M}$ . In particular, we study the set $\mathcal{…

math.DS2016★ 10 cited

Unique expansions and intersections of Cantor sets

Simon Baker, Derong Kong

To each $α \in (1/3, 1/2)$ we associate the Cantor set $Γ_{α} := {i = 1 \sum \infty ε_{i} α^{i} : ε_{i} \in {0, 1}, i \geq 1} .$ In this paper we consider the intersection $Γ_α\cap (…

An analogue of Khintchine's theorem for self-conformal sets

Entropy, topological transitivity, and dimensional properties of unique q-expansions

Unique expansions and intersections of Cantor sets

Entropy, topological transitivity, and dimensional properties of unique $q$ -expansions