A Gauss-Kuzmin-L\'evy theorem for R\'enyi-type continued fractions
Number Theory
2020-07-14 v1
Abstract
We consider an interval map which is a generalization of the R\'enyi transformation. For the continued fraction expansion arising from this transformation, we prove a result concerning the asymptotic behavior of the distribution functions of this map. More exactly, we use Sz\"usz's method to prove a Gauss-Kuzmin-L\'evy-type theorem.
Keywords
Cite
@article{arxiv.1810.10249,
title = {A Gauss-Kuzmin-L\'evy theorem for R\'enyi-type continued fractions},
author = {Dan Lascu and Gabriela Ileana Sebe},
journal= {arXiv preprint arXiv:1810.10249},
year = {2020}
}
Comments
11 pages