On purely periodic beta-expansions of Pisot numbers

DOI10.1017/S0027763000008308zbMath1029.11040OpenAlexW2101020728MaRDI QIDQ4545215

Yuki Sano

Publication date: 14 August 2002

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000008308

zbMATH Keywords

Pisot numbersbeta-expansionperiodic sequence

Mathematics Subject Classification ID

Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) PV-numbers and generalizations; other special algebraic numbers; Mahler measure (11R06)

Related Items (3)

Dynamical directions in numeration ⋮ Purely periodic \(\beta \)-expansions in the Pisot non-unit case ⋮ Boundary of central tiles associated with Pisot beta-numeration and purely periodic expansions

Cites Work

• On real quadratic fields and periodic expansions
• Recurrent sets
• Modified Jacobi-Perron algorithm and generating Markov partitions for special hyperbolic toral automorphisms
• Conformally maximal polynomial-like dynamics and invariant harmonic measure
• Representations for real numbers and their ergodic properties
• 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
• Higher dimensional extensions of substitutions and their dual maps
• Unnamed Item

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