Large deviation asymptotics for continued fraction expansions
Number Theory
2008-03-19 v1 Dynamical Systems
Abstract
We study large deviation asymptotics for processes defined in terms of continued fraction digits. We use the continued fraction digit sum process to define a stopping time and derive a joint large deviation asymptotic for the upper and lower fluctuation process. Also a large deviation asymptotic for single digits is given.
Cite
@article{arxiv.math/0702381,
title = {Large deviation asymptotics for continued fraction expansions},
author = {Marc Kesseböhmer and Mehdi Slassi},
journal= {arXiv preprint arXiv:math/0702381},
year = {2008}
}
Comments
15 pages