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