Generalized radix representations and dynamical systems. IV

DOI10.1016/S0019-3577(09)00006-8zbMath1190.11041OpenAlexW2616104535MaRDI QIDQ2270503

Shigeki Akiyama, Horst Brunotte, Attila Pethoe, Jörg M. Thuswaldner

Publication date: 28 July 2009

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(09)00006-8

zbMATH Keywords

periodic pointcanonical number systemPisot numberbeta expansioncontracting polynomial

Mathematics Subject Classification ID

Radix representation; digital problems (11A63) Symbolic dynamics (37B10) 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 (5)

A note on generalized radix representations and dynamical systems ⋮ Characterization algorithms for shift radix systems with finiteness property ⋮ Fractal tiles associated with shift radix systems ⋮ Beta-expansions of -adic numbers ⋮ Counting and Testing Dominant Polynomials

Cites Work

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• Generalized radix representations and dynamical systems. III
• Generalized radix representations and dynamical systems. I
• Finite beta-expansions
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• On Periodic Expansions of Pisot Numbers and Salem Numbers
• On a Principle of Lipschitz
• Generalized radix representations and dynamical systems II

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