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.

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Bibliographic Details
Date:2003
Main Authors: Vynnyshyn, Ya. F., Виннишин, Я. Ф.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 2003
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/3999
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal