A central limit theorem related to decimal and continued fraction expansion

DOI10.1007/S000130050219zbMath0921.11041OpenAlexW2078996370MaRDI QIDQ1127969

C. Faivre

Publication date: 29 September 1999

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050219

zbMATH Keywords

central limit theoremstrong mixingergodic theoremcontinued fraction expansion\(n\)-decimal approximations

Mathematics Subject Classification ID

Central limit and other weak theorems (60F05) Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Metric theory of continued fractions (11K50)

Related Items (8)

Random Lochs’ Theorem ⋮ Numeration and discrete dynamical systems ⋮ Lochs-type theorems beyond positive entropy ⋮ Beta-expansion and continued fraction expansion of real numbers ⋮ Beta-expansion and continued fraction expansion over formal Laurent series ⋮ Chaotic and topological properties of continued fractions ⋮ An iterated logarithm law related to decimal and continued fraction expansions ⋮ Limit theorems related to beta-expansion and continued fraction expansion

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