On limit theorems for continued fractions

Details On limit theorems for continued fractions On limit theorems for continued fractions

2007-12-21

arxiv.org/abs/0712.3681v1

J. Theor. Probab. 22 (2009), pp. 239--255

Mathematics

Probability

16 pages

Scientific paper

10.1007/s10959-007-0139-1

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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