Metric theorems for continued \(\beta\)-fractions

DOI10.1007/s00605-019-01305-6zbMath1432.11103OpenAlexW2953484330MaRDI QIDQ2274062

Chao Ma, Jing Feng, Shuai Ling Wang

Publication date: 19 September 2019

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-019-01305-6

zbMATH Keywords

Lebesgue measureregular continued fractions\(\beta\)-expansionpartial quotients\(beta\)-integerscontinued \(beta\)-fractions

Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80) Metric theory of continued fractions (11K50)

Related Items (2)

Hausdorff dimension of some sets in the theory of continued beta-fractions and its generalized continued fractions ⋮ Finiteness and periodicity of continued fractions over quadratic number fields

Cites Work

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• Beta-integers as natural counting systems for quasicrystals
• Metric Diophantine Approximation: Aspects of Recent Work
• Ergodic Theory
• Limit theorems related to beta-expansion and continued fraction expansion

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