Jonathan Caalim

activity

20152025

most citedIsometric and selfadjoint operators on a vector space with nondegenerate diagonalizable form

4 citations · 4 across the 7 of their papers we have counts for

collaborators

Showing 2025Show all

3 papers · 1 filter

math.CO2025

On the monoid of lexicographically minimal extensions

Jonathan Caalim, Yu-ichi Tanaka

A sequence $(e_{i})_{i \leq m}$ of nonnegative integers $e_{i}$ , where $m \in N$ or $m = \infty$ , is called a binomid index if $\sum_{i = n - k + 1}^{n} e_{i} \geq \sum_{i = 1}^{k} e_{i}$ for a…

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 $[γ, γ + 1]$ , where $γ \in R$ , with respect to an alternat…

math.NT2025

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…