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arXiv · 1307.3511

Bounded type interval exchange maps

Dong Han Kim·Stefano Marmi
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Abstract

Irrational numbers of bounded type have several equivalent characterizations. They have bounded partial quotients in terms of arithmetic characterization and in the dynamics of the circle rotation, the rescaled recurrence time to $r$-ball of the initial point is bounded below. In this paper, we consider how the bounded type condition of irrational is generalized into interval exchange maps.

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Dong Han Kim, Stefano Marmi. 2013-07-12. Bounded type interval exchange maps. https://doi.org/10.1088/0951-7715%2F27%2F4%2F637

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