A Gauss-Kuzmin Theorem and Related Questions for θ-Expansions
Using the natural extension for θ-expansions, we give an infinite-order-chain representation of the sequence of the incomplete quotients of these expansions. Together with the ergodic behavior of a certain homogeneous random system with complete connections, this allows us to solve a variant of Gaus...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/980461 |
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| _version_ | 1832568236927877120 |
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| author | Gabriela Ileana Sebe Dan Lascu |
| author_facet | Gabriela Ileana Sebe Dan Lascu |
| author_sort | Gabriela Ileana Sebe |
| collection | DOAJ |
| description | Using the natural extension for θ-expansions, we give an infinite-order-chain representation of the sequence of the incomplete quotients
of these expansions. Together with the ergodic behavior of a certain
homogeneous random system with complete connections, this allows
us to solve a variant of Gauss-Kuzmin problem for the previous fraction expansion. |
| format | Article |
| id | doaj-art-a8ba6b314bfb45c8bef6e4d1a568ea6d |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-a8ba6b314bfb45c8bef6e4d1a568ea6d2025-02-03T00:59:29ZengWileyJournal of Function Spaces2314-88962314-88882014-01-01201410.1155/2014/980461980461A Gauss-Kuzmin Theorem and Related Questions for θ-ExpansionsGabriela Ileana Sebe0Dan Lascu1Faculty of Applied Sciences, Politehnica University of Bucharest, Splaiul Independentei 313, 060042 Bucharest, RomaniaMircea cel Batran Naval Academy, 1 Fulgerului, 900218 Constanta, RomaniaUsing the natural extension for θ-expansions, we give an infinite-order-chain representation of the sequence of the incomplete quotients of these expansions. Together with the ergodic behavior of a certain homogeneous random system with complete connections, this allows us to solve a variant of Gauss-Kuzmin problem for the previous fraction expansion.http://dx.doi.org/10.1155/2014/980461 |
| spellingShingle | Gabriela Ileana Sebe Dan Lascu A Gauss-Kuzmin Theorem and Related Questions for θ-Expansions Journal of Function Spaces |
| title | A Gauss-Kuzmin Theorem and Related Questions for θ-Expansions |
| title_full | A Gauss-Kuzmin Theorem and Related Questions for θ-Expansions |
| title_fullStr | A Gauss-Kuzmin Theorem and Related Questions for θ-Expansions |
| title_full_unstemmed | A Gauss-Kuzmin Theorem and Related Questions for θ-Expansions |
| title_short | A Gauss-Kuzmin Theorem and Related Questions for θ-Expansions |
| title_sort | gauss kuzmin theorem and related questions for θ expansions |
| url | http://dx.doi.org/10.1155/2014/980461 |
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