Kevin G. Hare

collaborators

3 papers

math.NT2026

Non-Expansive Matrix Based number Systems

Adam BlaÅ¾ek, Kevin G. Hare, Edita PelantovÃ¡

Let $M = (1011)$ be a $2 \times 2$ Jordan block with eigenvalue $1$ , and let $\mathcal{D} = \{\left(\begin{smallmatrix}0 \\ 1 \end{…

math.NT2026

Parry order of Parry numbers

Kevin G Hare, Hachem Hichri

We introduce the \emph{Parry order} $Ord_{P} (I^^{2})$ , defined as the largest integer $n$ for which $Î²^n$ is a Parry number. This leads to a natural partition of the set of Per…

math.NT2025

Greedy Beta-expansions for families of Salem numbers

Kevin G. Hare, Liam Orovec

We give criteria for finding the greedy $I^^{2}$ -expansion for $1$ for families of Salem numbers that approach a given Pisot number. We show that these expansions are related to the gr…