On good approximations and Bowen-Series expansion
Dynamical Systems
2020-09-15 v2 Number Theory
Abstract
We consider the continued fraction expansion of real numbers under the action of a non-uniform lattice in PSL(2,R) and prove metric relations between the convergents and a natural geometric notion of good approximations.
Cite
@article{arxiv.2009.04389,
title = {On good approximations and Bowen-Series expansion},
author = {Luca Marchese},
journal= {arXiv preprint arXiv:2009.04389},
year = {2020}
}
Comments
13 pages, 4 figures. Minor changes in the exposition. The content of this note was initially part of the preprint arXiv:1812.11921. Because of editorial reasons, the proof of main Theorem 3.1 in this note has been removed from arXiv:1812.11921. This material appears now separately under the title "On good approximations and Bowen-Series expansion"