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.
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Vynnyshyn, Y.F. Distribution of a Random Continued Fraction with Markov Elements. Ukrainian Mathematical Journal 55, 1522–1531 (2003). https://doi.org/10.1023/B:UKMA.0000018013.87248.22
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DOI: https://doi.org/10.1023/B:UKMA.0000018013.87248.22