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 2015 · math.NTShow all

3 papers · 2 filters

math.NT2015

On the regularity of the generalised golden ratio function

Simon Baker, Wolfgang Steiner

Given a finite set of real numbers $A$ , the generalised golden ratio is the unique real number $G (A) > 1$ for which we only have trivial unique expansions in smaller base…

math.NT2015

Approximation properties of $β$ -expansions II

Simon Baker

Given $β \in (1, 2)$ and $x \in [0, \frac{1}{β - 1}]$ , a sequence $(ε_{i})_{i = 1}^{\infty} \in {0, 1}^{N}$ is called a $β$ -expansion for $x$ if $$x=\sum_{i=1}^{\infty}\frac{ε_{i}}{β…

math.NT2015★ 5 cited

On small bases for which $1$ has countably many expansions

Yuru Zou, Lijin Wang, Jian Lu +1

Let $q \in (1, 2)$ . A $q$ -expansion of a number $x$ in $[0, \frac{1}{q - 1}]$ is a sequence $(δ_{i})_{i = 1}^{\infty} \in {0, 1}^{N}$ satisfying $$ x=\sum_{i=1}^\infty\frac{δ_i}{q^i}.$…

On the regularity of the generalised golden ratio function

Approximation properties of β-expansions II

On small bases for which 1 has countably many expansions

Approximation properties of $β$ -expansions II

On small bases for which $1$ has countably many expansions