On Negative Bases

DOI10.1007/978-3-642-02737-6_20zbMath1247.68139OpenAlexW1572909830MaRDI QIDQ3637230

Anna Chiara Lai, Christiane Frougny

Publication date: 7 July 2009

Published in: Developments in Language Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-02737-6_20

Mathematics Subject Classification ID

Formal languages and automata (68Q45) Radix representation; digital problems (11A63)

Related Items (8)

On the structure of (−β)-integers ⋮ ON THE ONE-WAY SPECIFICATION PROPERTY AND LARGE DEVIATIONS FOR SYSTEMS WITH NON-DENSE ERGODIC MEASURES ⋮ Natural extensions for piecewise affine maps via Hofbauer towers ⋮ Arithmetics in numeration systems with negative quadratic base ⋮ Arithmetics in number systems with a negative base ⋮ Numbers with integer expansion in the numeration system with negative base ⋮ Number representation using generalized \((-\beta )\)-transformation ⋮ Intermediate \(\beta\)-shifts of finite type

Cites Work

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• Beta-Expansions with Negative Bases
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• On Periodic Expansions of Pisot Numbers and Salem Numbers
• Representations of numbers and finite automata
• On-line finite automata for addition in some numeration systems
• An Introduction to Symbolic Dynamics and Coding
• Topological conjugacies of piecewise monotone interval maps

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