Random Systems with Complete Connections and the Gauss Problem for the Regular Continued Fractions
Number Theory
2010-10-22 v1
Abstract
This paper present the important role that random system with complete connections played in solving the Gauss problem associated to the regular continued fractions. Hence, using the ergodic behavior of homogeneous random system with complete connections, we will solve a Gauss - Kuzmin type theorem.
Cite
@article{arxiv.1010.4469,
title = {Random Systems with Complete Connections and the Gauss Problem for the Regular Continued Fractions},
author = {Dan Lascu and Ion Coltescu},
journal= {arXiv preprint arXiv:1010.4469},
year = {2010}
}
Comments
7 pages