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...

Full description

Bibliographic Details
Main Authors:	Gabriela Ileana Sebe, Dan Lascu
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	Journal of Function Spaces
Online Access:	http://dx.doi.org/10.1155/2014/980461

id	doaj-a8ba6b314bfb45c8bef6e4d1a568ea6d
record_format	Article
spelling	doaj-a8ba6b314bfb45c8bef6e4d1a568ea6d2020-11-24T22:43:26ZengHindawi LimitedJournal 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
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Gabriela Ileana Sebe Dan Lascu
spellingShingle	Gabriela Ileana Sebe Dan Lascu A Gauss-Kuzmin Theorem and Related Questions for θ-Expansions Journal of Function Spaces
author_facet	Gabriela Ileana Sebe Dan Lascu
author_sort	Gabriela Ileana Sebe
title	A Gauss-Kuzmin Theorem and Related Questions for θ-Expansions
title_short	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_sort	gauss-kuzmin theorem and related questions for θ-expansions
publisher	Hindawi Limited
series	Journal of Function Spaces
issn	2314-8896 2314-8888
publishDate	2014-01-01
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.
url	http://dx.doi.org/10.1155/2014/980461
work_keys_str_mv	AT gabrielaileanasebe agausskuzmintheoremandrelatedquestionsforthexpansions AT danlascu agausskuzmintheoremandrelatedquestionsforthexpansions AT gabrielaileanasebe gausskuzmintheoremandrelatedquestionsforthexpansions AT danlascu gausskuzmintheoremandrelatedquestionsforthexpansions
_version_	1725695838838063104

A Gauss-Kuzmin Theorem and Related Questions for θ-Expansions

Similar Items