From greedy to lazy expansions and their driving dynamics

DOI10.1016/S0723-0869(02)80010-XzbMath1030.11035MaRDI QIDQ1857371

Karma Dajani, Cornelis Kraaikamp

Publication date: 20 March 2003

Published in: Expositiones Mathematicae (Search for Journal in Brave)

zbMATH Keywords

dynamical systemsgreedy expansions

Mathematics Subject Classification ID

Related Items (17)

Dynamical behavior of alternate base expansions ⋮ Invariant densities for random \(\beta\)-expansions ⋮ β -expansion attractors observed in A/D converters ⋮ The natural extension of the random beta-transformation ⋮ Sturmian graphs and integer representations over numeration systems ⋮ Greedy and lazy representations in negative base systems ⋮ Beta-expansions, natural extensions and multiple tilings associated with Pisot units ⋮ On the geometry and regularity of invariant sets of piecewise-affine automorphisms on the Euclidean space ⋮ Beta-expansions for infinite families of Pisot and Salem numbers ⋮ Mathematics of Analog‐to‐Digital Conversion ⋮ Measures of maximal entropy for random \(\beta\)-expansions ⋮ Noise-Shaping Quantization Methods for Frame-Based and Compressive Sampling Systems ⋮ Expansions in multiple bases ⋮ Intermediate \(\beta\)-shifts of finite type ⋮ Optimal expansions in non-integer bases ⋮ Invariant density functions of random -transformations ⋮ On univoque Pisot numbers

Cites Work

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• β-automorphisms are Bernoulli shifts
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• Ergodic properties of a class of piecewise linear transformations
• Unique Developments in Non-Integer Bases
• The lap-counting function for linear mod one transformations I: explicit formulas and renormalizability
• Representations for real numbers
• Characterization of the unique expansions $1=\sum^{\infty}_{i=1}q^{-n_ i}$ and related problems
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