2017
Том 69
№ 9

All Issues

Distribution of a Random Continued Fraction with Markov Elements

Vynnyshyn Ya. F.

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Abstract

We study the structure of the distribution of a random variable such that the elements of its continued fraction form a Markov chain of order m. It is proved that an absolutely continuous component is absent from such distributions.

English version (Springer): Ukrainian Mathematical Journal 55 (2003), no. 9, pp 1522-1531.

Citation Example: Vynnyshyn Ya. F. Distribution of a Random Continued Fraction with Markov Elements // Ukr. Mat. Zh. - 2003. - 55, № 9. - pp. 1260-1268.

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