A natural extension for the greedy \(\beta\)-transformation with three arbitrary digits
From MaRDI portal
Publication:987583
DOI10.1007/s10474-009-8212-0zbMath1212.37001OpenAlexW2098106291MaRDI QIDQ987583
Publication date: 13 August 2010
Published in: Acta Mathematica Hungarica (Search for Journal in Brave)
Full work available at URL: https://dspace.library.uu.nl/handle/1874/197282
Dynamical aspects of measure-preserving transformations (37A05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55)
Related Items (4)
Natural extensions for piecewise affine maps via Hofbauer towers ⋮ On the invariant density of the random \(\beta\)-transformation ⋮ Shrinking random \(\beta\)-transformation ⋮ Optimal expansions in non-integer bases
Cites Work
- Invariant densities for random \(\beta\)-expansions
- Invariant measures for piecewise linear transformations of the interval
- Random \(\beta\)-expansions with deleted digits
- The natural extension of the \(\beta\)-transformation
- Greedy expansions and sets with deleted digits
- Local dimensions for the random beta-transformation
- Representations for real numbers and their ergodic properties
- On theβ-expansions of real numbers
- Bounded variation and invariant measures
- Ergodic properties of a class of piecewise linear transformations
- Almost Every Number Has a Continuum of b-Expansions
- $\beta$-transformation, natural extension and invariant measure
- On the Morphology of γ-Expansions with Deleted Digits
- The Hausdorff Dimension of λ-Expansions with Deleted Digits
This page was built for publication: A natural extension for the greedy \(\beta\)-transformation with three arbitrary digits
