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arxiv: 0712.3681 · v1 · submitted 2007-12-21 · 🧮 math.PR

On limit theorems for continued fractions

classification 🧮 math.PR
keywords continuedattractioncharacterizationdigitsdomainevy-feller-raikovexpansionfraction
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It is shown that for sums of functionals of digits in continued fraction expansion the Kolmogorov-Feller weak laws of large numbers and the Khinchine-L\'evy-Feller-Raikov characterization of the domain of attraction of the normal law hold.

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