Linear numeration systems and \(\theta\)-representations

DOI10.1016/0304-3975(92)90036-FzbMath0751.11008OpenAlexW255762240MaRDI QIDQ1190473

Christiane Frougny

Publication date: 26 September 1992

Published in: Theoretical Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-3975(92)90036-f

zbMATH Keywords

numeration systemssymbolic dynamicsfinite automatonPisot number\(\theta\)-expansionsrepresentations of real numberslinear recurrence with integral coefficientsnormalization function

Mathematics Subject Classification ID

Low-dimensional dynamical systems (37E99) Other number representations (11A67) Theory of computing (68Q99)

Related Items

\(\beta\)-shift, numeration systems, and automata ⋮ Unnamed Item

Cites Work

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• \(\beta\)-expansions and symbolic dynamics
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• The entropies of topological Markov shifts and a related class of algebraic integers

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