Invariant measures of piecewise fractional linear maps and piecewise quadratic maps

DOI10.1142/S179304211850094XzbMath1410.11109OpenAlexW2782629918MaRDI QIDQ3174665

Fritz Schweiger

Publication date: 17 July 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s179304211850094x

zbMATH Keywords

invariant measures\(f\)-expansionpiecewise quadratic maps

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55)

Related Items (3)

Some results on invariant measures for \(1\)-dimensional maps ⋮ Invariant densities for composed piecewise fractional linear maps ⋮ Unnamed Item

Cites Work

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• The invariant densities for maps modeling intermittency.
• Arithmetic and ergodic properties of `flipped' continued fraction algorithms
• Representations for real numbers and their ergodic properties
• Entropy quotients and correct digits in number-theoretic expansions
• Differentiable equivalence of fractional linear maps
• A generalization of continued fractions
• Representations for real numbers
• Ergodic properties of the Bolyai-Rényi expansion

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