The dimension of some sets defined in terms of f-expansions

DOI10.1007/BF00539116zbMath0139.33502MaRDI QIDQ5514859

John R. Kinney, Tom S. Pitcher

Publication date: 1966

Published in: Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete (Search for Journal in Brave)

zbMATH Keywords

probability theory

Related Items (16)

The degree of approximation of certain analytic continued fractions ⋮ A dimension gap for continued fractions with independent digits -- the non stationary case ⋮ On singularity and fine spectral structure of random continued fractions ⋮ An extension of Minkowski's singular function ⋮ Some ergodic properties of multi-dimensional f-expansions ⋮ Dimension of Gibbs measures with infinite entropy ⋮ Invariant measures for parabolic IFS with overlaps and random continued fractions ⋮ On the Pyatetskii-Shapiro normality criterion for continued fractions ⋮ ``Random random matrix products ⋮ A dimension gap for continued fractions with independent digits ⋮ A probabilistic approach to studies of DP-transformations and faithfullness of covering systems to evaluate the Hausdorff–Besicovitch dimension ⋮ Induzierte Maße bei zahlentheoretischen Transformationen ⋮ On the frequency of partial quotients of regular continued fractions ⋮ Abschätzung der Hausdorffdimension fü r Mengen mit vorgeschriebenen Häufigkeiten der Ziffern ⋮ Maximizing Bernoulli measures and dimension gaps for countable branched systems ⋮ Hausdorff dimension of some continued-fraction sets

Cites Work

• A Mathematical Theory of Communication
• Hausdorff dimension in probability theory. I, II
• Representations for real numbers and their ergodic properties
• Singular Functions Associated with Markov Chains
• Note on a Singular Function of Minkowski
• Some Sets of Continued Fractions
• On Rohlin's formula for entropy
• A Note on the Ergodic Theorem of Information Theory
• On the ergodic theorems (II) (Ergodic theory of continued fractions)
• The Basic Theorems of Information Theory
• A generalization of continued fractions
• Representations for real numbers

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