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

collaborators

Showing 2022Show all

3 papers · 1 filter

math.DS2022★ 1 cited

Recurrence rates for shifts of finite type

Demi Allen, Simon Baker, Balázs Bárány

Let $Σ_{A}$ be a topologically mixing shift of finite type, let $σ : Σ_{A} \to Σ_{A}$ be the usual left-shift, and let $μ$ be the Gibbs measure for a Hölder continuous potential that i…

math.NT2022★ 1 cited

Approximating elements of the middle third Cantor set with dyadic rationals

Simon Baker

Let $C$ be the middle third Cantor set and $μ$ be the $\frac{l o g 2}{l o g 3}$ -dimensional Hausdorff measure restricted to $C$ . In this paper we study approximations of elements of…

math.NT2022

A note on dyadic approximation in Cantor's set

Demi Allen, Simon Baker, Sam Chow +1

We consider the convergence theory for dyadic approximation in the middle-third Cantor set, $K$ , for approximation functions of the form $ψ_{τ} (n) = n^{- τ}$ ( $τ \geq 0$ ). In particular…