Irrational Numbers of Constant Type --- A New Characterization

Details Irrational Numbers of Constant Type --- A New Characterization Irrational Numbers of Constant Type --- A New Characterization

1997-06-04

arxiv.org/abs/physics/9706009v3

Physics

Mathematical Physics

7 pages, AMS-LaTeX, with changes in references

Scientific paper

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.

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