3 papers
math.DS2026
From some Pisot numerations to topological groups
Olivier Carton, Jake Sudbery, Reem Yassawi
A Pisot numeration system for is a sequence of natural numbers generated by an integral homogeneous linear recurrence whose characteristic polynomial is the minimal…
math.NT2026
Mahler equations for Zeckendorf numeration
Olivier Carton, Reem Yassawi
We define generalised equations of Z-Mahler type, based on the Zeckendorf numeration system. We show that if a sequence over a commutative ring is Z-regular, then it is the sequenc…
math.DS2025
A dynamical view of Tijdeman's solution of the chairman assignment problem
Valérie Berthé, Olivier Carton, Nicolas Chevallier +2
In 1980, R. Tijdeman provided an on-line algorithm that generates sequences over a finite alphabet with minimal discrepancy, that is, such that the occurrence of each letter optima…