Irrational Numbers of Constant Type --- A New Characterization

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.

7 pages, AMS-LaTeX, with changes in references

Cited by in corpus (3)

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• Littlewood and Duffin--Schaeffer-type problems in diophantine approximation
• Fully Inhomogeneous Multiplicative Diophantine Approximation of Badly Approximable Numbers