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arXiv · 2409.09824

Christoffel Matrices and Sturmian Determinants

Christophe Reutenauer·Jeffrey Shallit
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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.

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Christophe Reutenauer, Jeffrey Shallit. 2024-09-15. Christoffel Matrices and Sturmian Determinants. https://arxiv.org/abs/2409.09824

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