Irrational Numbers of Constant Type --- A New Characterization
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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
7 pages, AMS-LaTeX, with changes in references