Distribution of a Random Continued Fraction with Markov Elements
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.