2 papers
math.NT2026
Rotational beta expansions and Schmidt games
Hajime Kaneko, Jonathan Caalim, Nathaniel Nollen
We consider rotational beta expansions in dimensions 1, 2 and 4 and view them as expansions on real numbers, complex numbers, and quaternions, respectively. We give sufficient cond…
math.NT2025
An analogue of Solomyak's theorem for periodic Cantor real expansions in alternate bases
Jonathan Caalim, Nathaniel Nollen
In this paper, we consider the positional numeration system, called the Cantor real expansion, on the unit interval , where , with respect to an alter…