Distribution of a Random Continued Fraction with Markov Elements

Authors

  • Ya. F. Vynnyshyn

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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Published

25.09.2003

Issue

Vol. 55 No. 9 (2003)

Section

Short communications

How to Cite

Vynnyshyn, Ya. F. “Distribution of a Random Continued Fraction With Markov Elements”. Ukrains’kyi Matematychnyi Zhurnal, vol. 55, no. 9, Sept. 2003, pp. 1260-8, https://umj.imath.kiev.ua/index.php/umj/article/view/3999.