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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| Date: | 2003 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2003
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| 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| _version_ | 1860510129063985152 |
|---|---|
| author | Vynnyshyn, Ya. F. Виннишин, Я. Ф. |
| author_facet | Vynnyshyn, Ya. F. Виннишин, Я. Ф. |
| author_sort | Vynnyshyn, Ya. F. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2020-03-18T20:18:03Z |
| description | 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. |
| first_indexed | 2026-03-24T02:52:05Z |
| format | Article |
| fulltext |
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| id | umjimathkievua-article-3999 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | Ukrainian English |
| last_indexed | 2026-03-24T02:52:05Z |
| publishDate | 2003 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | umjimathkievua/a1/251dcc86e65c8bb7153e914d8eac5fa1.pdf |
| spelling | umjimathkievua-article-39992020-03-18T20:18:03Z Distribution of a Random Continued Fraction with Markov Elements Розподіл випадкового ланцюгового дробу з марковськими елементами Vynnyshyn, Ya. F. Виннишин, Я. Ф. 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. Вивчається структура розподілу випадкової величини, елементи ланцюгового зображення якої утворюють марковський ланцюг порядку m. Доводиться відсутність абсолютно неперервної компоненти у таких розподілів. Institute of Mathematics, NAS of Ukraine 2003-09-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/3999 Ukrains’kyi Matematychnyi Zhurnal; Vol. 55 No. 9 (2003); 1260-1268 Український математичний журнал; Том 55 № 9 (2003); 1260-1268 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/3999/4710 https://umj.imath.kiev.ua/index.php/umj/article/view/3999/4711 Copyright (c) 2003 Vynnyshyn Ya. F. |
| spellingShingle | Vynnyshyn, Ya. F. Виннишин, Я. Ф. Distribution of a Random Continued Fraction with Markov Elements |
| title | Distribution of a Random Continued Fraction with Markov Elements |
| title_alt | Розподіл випадкового ланцюгового дробу з марковськими елементами |
| title_full | Distribution of a Random Continued Fraction with Markov Elements |
| title_fullStr | Distribution of a Random Continued Fraction with Markov Elements |
| title_full_unstemmed | Distribution of a Random Continued Fraction with Markov Elements |
| title_short | Distribution of a Random Continued Fraction with Markov Elements |
| title_sort | distribution of a random continued fraction with markov elements |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/3999 |
| work_keys_str_mv | AT vynnyshynyaf distributionofarandomcontinuedfractionwithmarkovelements AT vinnišinâf distributionofarandomcontinuedfractionwithmarkovelements AT vynnyshynyaf rozpodílvipadkovogolancûgovogodrobuzmarkovsʹkimielementami AT vinnišinâf rozpodílvipadkovogolancûgovogodrobuzmarkovsʹkimielementami |