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• W164200750 abstract "In this article, we are dealing with β-numeration, which is a generalization of numeration in a non-integer base. We consider the class of simple Parry numbers such that dβ(1) = 0.k1d-1 kd with d ∈ ℕ, d ≥ 2 and k1 ≥ kd ≥ 1. We prove that these elements define Rauzy fractals that are stable under a central symmetry. We use this result to compute, for several cases of cubic Pisot units, the maximal length among the lengths of the finite β-fractional parts of sums of two β-integers, denoted by L_⊕. In particular, we prove that L_⊕ = 5 in the Tribonacci case." @default.
• W164200750 created "2016-06-24" @default.
• W164200750 creator A5077682550 @default.
• W164200750 date "2007-01-01" @default.
• W164200750 modified "2023-09-27" @default.
• W164200750 title "Computation of L_⊕ for several cubic Pisot numbers" @default.
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• W164200750 doi "https://doi.org/10.46298/dmtcs.405" @default.
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