Combinatorial and probabilistic properties of systems of numeration

DOI10.1017/etds.2014.69zbMath1355.37020OpenAlexW1980263044MaRDI QIDQ2808036

Guy Barat, Peter J. Grabner

Publication date: 26 May 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/503548de61dce63fc59f2034ad320b77a76bec41

zbMATH Keywords

invariant measuresodometersystem of numeration

Mathematics Subject Classification ID

Recurrences (11B37) Radix representation; digital problems (11A63) Symbolic dynamics (37B10) Combinatorial dynamics (types of periodic orbits) (37E15)

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The carry propagation of the successor function ⋮ The level of distribution of the sum-of-digits function of linear recurrence number systems

Cites Work

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• Odometers on regular languages
• Systèmes de numération et fonctions fractales relatifs aux substitutions. (Numeration systems and fractal functions related to substitutions)
• On the sequentiality of the successor function
• On dynamics related to a class of numeration systems
• \(\alpha\)-expansions, linear recurrences, and the sum-of-digits function
• Dynamical directions in numeration
• Fibonacci representations and finite automata
• On theβ-expansions of real numbers
• Nombres algébriques et substitutions
• Systems of Numeration
• Adding machines and wild attractors
• Greedy sums of distinct squares
• Dynamiques associees a une echelle de numeration
• Numeration systems on a regular language

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