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math.CO2026
On a sequence of Kimberling and its relationship to the Tribonacci word
LubomÃra DvoÅáková, Edita Pelantová, Jeffrey Shallit
In 2017, Clark Kimberling defined an interesting sequence of 's and 's by certain inflation rules, and he made a number of conjectures about thi…
math.CO2024
Christoffel Matrices and Sturmian Determinants
Christophe Reutenauer, Jeffrey Shallit
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 Zolotare…