M. J. Loquias

collaborators

2 papers

math.NT2026

A Matrix Analogue of Rational Number Systems

Anjelo Gabriel R. Cruz, Manuel Joseph C. Loquias

Let $P, Q \in Z^{d \times d}$ be invertible coprime matrices such that all the eigenvalues of $Q^{- 1} P$ have modulus greater than 1, and $Z^{d} [Q^{- 1} P]$ be the small…

math.NT2025

Addition Automata and Attractors of Digit Systems Corresponding to Expanding Rational Matrices

Anjelo Gabriel R. Cruz, Manuel Joseph C. Loquias, JÃ¶rg M. Thuswaldner

Let $A$ be an expanding $2 \times 2$ matrix with rational entries and $Z^{2} [A]$ be the smallest $A$ -invariant $Z$ -module containing $Z^{2}$ . Let $\mathcal{D…