Periodicity ofβ-expansions for certain Pisot units

DOI10.1051/proc/201236005zbMath1360.37103OpenAlexW2172022933MaRDI QIDQ3451591

Pedro Martins Rodrigues, Sandra H. Vaz

Publication date: 17 November 2015

Published in: ESAIM: Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/proc/201236005

zbMATH Keywords

Pisot numbersbeta-expansionsbeta-representations

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Radix representation; digital problems (11A63) Dynamical systems involving maps of the interval (37E05) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06) Matrices, determinants in number theory (11C20)

Cites Work

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• Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions
• A characterization of two related classes of Salem numbers
• On theβ-expansions of real numbers
• Rational numbers with purely periodic β -expansion
• Développement en base $\theta$, répartition modulo un de la suite $(x\theta \sp n)$, n$\ge 0$, langages codés et $\theta$-shift
• On Periodic Expansions of Pisot Numbers and Salem Numbers
• Numeration systems and Markov partitions from self similar tilings
• An Introduction to Symbolic Dynamics and Coding
• On the beta expansion for Salem numbers of degree 6

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