On limit theorems for continued fractions

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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-Lévy-Feller-Raikov characterization of the domain of attraction of the normal law hold.
16 pages

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Probability, 60F05, 60F10, 11K50

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http://salesiana.dossiersoluciones.com/handle/123456789/216262

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0712.3681
 http://arxiv.org/abs/0712.3681
 J. Theor. Probab. 22 (2009), pp. 239--255
 doi:10.1007/s10959-007-0139-1

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arXiv