Metric properties and exceptional sets of \(\beta \)-expansions over formal Laurent series
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Publication:956675
DOI10.1007/s00605-008-0531-7zbMath1153.11043OpenAlexW2060299996MaRDI QIDQ956675
Publication date: 25 November 2008
Published in: Monatshefte für Mathematik (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00605-008-0531-7
Related Items (12)
Continued \(\beta \)-fractions with formal power series over finite fields ⋮ Rational digit systems over finite fields and Christol's theorem ⋮ Rational Laurent series with purely periodic \(\beta\)-expansions ⋮ Diophantine approximation and beta-expansions over the field of formal Laurent series ⋮ Recurrence in \(\beta \)-expansion over formal Laurent series ⋮ PURELY PERIODIC BETA-EXPANSIONS OVER LAURENT SERIES ⋮ Beta-expansion and continued fraction expansion over formal Laurent series ⋮ Lengths, periods and expansions of elements written with respect to a digit system over \(\mathbb F_q [x\)] ⋮ Approximation orders of formal Laurent series by \(\beta\)-expansions ⋮ Automatic \(\beta\)-expansions of formal Laurent series over finite fields ⋮ Analysis of generalized continued fraction algorithms over polynomials ⋮ Dynamical Diophantine approximation of beta expansions of formal Laurent series
Cites Work
- \(\beta\)-expansions in algebraic function fields over finite fields
- \(\beta\)-expansions and symbolic dynamics
- Beta-expansion and continued fraction expansion
- Finite beta-expansions
- Representations for real numbers and their ergodic properties
- On theβ-expansions of real numbers
- SUR LE BÊTA-DÉVELOPPEMENT DE 1 DANS LE CORPS DES SÉRIES FORMELLES
- On Periodic Expansions of Pisot Numbers and Salem Numbers
- Symbolic dynamics for $\beta$-shifts and self-normal numbers
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