Irrational Numbers of Constant Type --- A New Characterization
Mathematical Physics
2008-11-06 v3 math.MP
Abstract
We obtain a new characterization for irrational numbers of constant type -- defined as irrationals with bounded partial quotients in their continued fraction expansion. The result is essential in the formulation of stability criteria for orbits of quantum twist maps in a class of dynamical systems.
Cite
@article{arxiv.physics/9706009,
title = {Irrational Numbers of Constant Type --- A New Characterization},
author = {Manash Mukherjee and Gunther Karner},
journal= {arXiv preprint arXiv:physics/9706009},
year = {2008}
}
Comments
7 pages, AMS-LaTeX, with changes in references