A Gauss-Kuzmin Theorem and Related Questions forθ-Expansions-Reference-Cited by-同舟云学术

A Gauss-Kuzmin Theorem and Related Questions forθ-Expansions

Published:2014 Issue: Volume:2014 Page:1-12
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Sebe Gabriela Ileana¹,Lascu Dan²^ORCID

Affiliation:

1. Faculty of Applied Sciences, Politehnica University of Bucharest, Splaiul Independentei 313, 060042 Bucharest, Romania

2. Mircea cel Batran Naval Academy, 1 Fulgerului, 900218 Constanta, Romania

Abstract

Using the natural extension forθ-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.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2014/980461.pdf

Reference21 articles.

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3. Mathematics and Its Applications,2002

4. History of Continued Fractions and Padé Approximants

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