10 citations · 77 across the 32 of their papers we have counts for
5 papers · 1 filter
Root sets of polynomials and power series with finite choices of coefficients
Simon Baker, Han Yu
Given two natural objects to study are the set of zeros of polynomials with coefficients in , $$\{z\in \mathbb{C}: \exists k>0,\, \exists (a_n)\in H^{k+1…
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…
Entropy, topological transitivity, and dimensional properties of unique -expansions
Rafael Alcaraz Barrera, Simon Baker, Derong Kong
Let be a positive integer and We consider expansions of real numbers in base over the alphabet . In particular, we study the set $\mathcal{…
On periodic representations in non-Pisot bases
Simon Baker, Zuzana Masáková, Edita Pelantová +1
We study periodic expansions in positional number systems with a base $β\in\C,\ |β|>1$, and with coefficients in a finite set of digits $\A\subset\C.$ We are interested in determin…
Unique expansions and intersections of Cantor sets
Simon Baker, Derong Kong
To each we associate the Cantor set In this paper we consider the intersection $Γ_α\cap (…