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 2013Show all

2 papers · 1 filter

math.DS2013

On small bases which admit countably many expansions

Simon Baker

Let $q \in (1, 2)$ and $x \in [0, \frac{1}{q - 1}]$ . We say that a sequence $(ε_{i})_{i = 1}^{\infty} \in {0, 1}^{N}$ is an expansion of $x$ in base $q$ (or a $q$ -expansion) if x=\sum_{i…

math.NT2013★ 1 cited

Expansions in non-integer bases: lower order revisited

Simon Baker, Nikita Sidorov

Let $q \in (1, 2)$ and $x \in [0, \frac{1}{q - 1}]$ . We say that a sequence $(ε_{i})_{i = 1}^{\infty} \in {0, 1}^{N}$ is an expansion of $x$ in base $q$ (or a $q$ -expansion) if…