2 papers
math.DS2025
On finitely many base expansions
Simon Baker, George Bender
Given some integer , we find the first explicit collection of countably many intervals in such that for any in one of these intervals, the set of points with…
math.DS2023
On the cardinality and dimension of the slices of Okamoto's functions
Simon Baker, George Bender
The graphs of Okamoto's functions, denoted by , are self-affine fractal curves contained in , parameterised by . In this paper we consider the cardinalit…