Some results on invariant measures for \(1\)-dimensional maps

DOI10.3836/tjm/1502179353OpenAlexW3202147674MaRDI QIDQ2683790

Fritz Schweiger

Publication date: 15 February 2023

Published in: Tokyo Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/tokyo-journal-of-mathematics/volume-45/issue-2/Some-Results-on-Invariant-Measures-for-1-dimensional-Maps/10.3836/tjm/1502179353.full

zbMATH Keywords

continued fraction expansionsinvariant measure\(f\)-expansion

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)

Cites Work

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• The Jacobi-Perron algorithm its theory and application
• Invariant measures for continued fraction algorithms with finitely many digits
• Invariant measures of piecewise fractional linear maps and piecewise quadratic maps
• Arithmetic and ergodic properties of `flipped' continued fraction algorithms
• Differentiable equivalence of fractional linear maps
• Ergodic properties of the Bolyai-Rényi expansion

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