Alternate Base Numeration Systems
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Publication:6134859
DOI10.1007/978-3-031-33180-0_2MaRDI QIDQ6134859
Publication date: 25 July 2023
Published in: Lecture Notes in Computer Science (Search for Journal in Brave)
dynamical systemsautomataPisot numbersnormalizationergodic theorysubshiftsParry numbersalternate basesCantor real bases
Formal languages and automata (68Q45) Continua theory in dynamics (37B45) Other number representations (11A67)
Cites Work
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- On the distribution of digits in Cantor representations of integers
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- Two applications of the spectrum of numbers
- \(\beta\)-shift, numeration systems, and automata
- Discrete spectra and Pisot numbers
- Non-uniform expansions of real numbers
- Expansions in multiple bases
- Expansions in Cantor real bases
- Expansions in multiple bases over general alphabets
- A full characterization of Bertrand numeration systems
- On the topology of polynomials with bounded integer coefficients
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- Exact Dynamical Systems and the Frobenius-Perron Operator
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- Développement en base $\theta$, répartition modulo un de la suite $(x\theta \sp n)$, n$\ge 0$, langages codés et $\theta$-shift
- On Periodic Expansions of Pisot Numbers and Salem Numbers
- Representations of numbers and finite automata
- Dynamical behavior of alternate base expansions
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