Christoffel Matrices and Sturmian Determinants
Combinatorics
2024-09-17 v1 Discrete Mathematics
Number Theory
Abstract
We discuss certain matrices associated with Christoffel words, and show that they have a group structure. We compute their determinants and show a relationship between the Zolotareff symbol from number theory.
Keywords
Cite
@article{arxiv.2409.09824,
title = {Christoffel Matrices and Sturmian Determinants},
author = {Christophe Reutenauer and Jeffrey Shallit},
journal= {arXiv preprint arXiv:2409.09824},
year = {2024}
}