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Irrational Numbers of Constant Type --- A New Characterization

Manash Mukherjee·Gunther Karner
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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.

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Manash Mukherjee, Gunther Karner. 1997-07-28. Irrational Numbers of Constant Type --- A New Characterization. https://arxiv.org/abs/physics/9706009

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