On limit theorems for continued fractions
arXiv:0712.3681 · doi:10.1007/s10959-007-0139-1
Abstract
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-Lévy-Feller-Raikov characterization of the domain of attraction of the normal law hold.
16 pages