Invariant measures for maps of continued fraction type

DOI10.1016/0022-314X(91)90042-AzbMath0748.11037MaRDI QIDQ1179503

Fritz Schweiger

Publication date: 26 June 1992

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

zbMATH Keywords

invariant measureexplicit representationmaps of continued fraction typeprobabilistic density-function

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Metric theory of continued fractions (11K50)

Related Items

Mesures de Gauss pour des algorithmes de fractions continues multidimensionnelles, Convergence of continued fraction type algorithms and generators, Ergodic properties of a dynamical system arising from percolation theory, Natural extensions for piecewise affine maps via Hofbauer towers, Geometry, dynamics, and arithmetic of $S$-adic shifts, The two-dimensional Boole-type transform and its ergodicity, Continued fraction expansions with variable numerators, A conversion algorithm based on the technique of singularization, \(S\)-expansions in dimension two, Ergodicity of \(N\)-continued fraction expansions, On the regularity and approximation of invariant densities for random continued fractions, Almost everywhere exponential convergence of the modified Jacobi—Perron algorithm

Cites Work

• Algorithms with mediant convergents and their metrical theory
• Metrical theory for a class of continued fraction transformations and their natural extensions
• Some remarks on Kuzmin's theorem for F-expansions
• Representations for real numbers and their ergodic properties
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