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arXiv 0801.2088math.DScs.ITmath.IT
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自相似仿射区间交换变换中游荡区间的持续性

Persistence of Wandering Intervals in Self-Similar Affine Interval Exchange Transformations

Xavier Bressaud, Pascal Hubert, Alejandro Maass

摘要:

本文证明了:给定一个自相似区间交换变换T,其关联矩阵满足一个相当一般的代数条件,存在一个半共轭于它的游荡区间的仿射区间交换变换,即在这种情形下经常出现Denjoy反例,推广了M. Cobo在[C]中。

英文摘要:

In this article we prove that given a self-similar interval exchange transformation T, whose associated matrix verifies a quite general algebraic condition, there exists an affine interval exchange transformation with wandering intervals that is semi-conjugated to it. That is, in this context the existence of Denjoy counterexamples occurs very often, generalizing the result of M. Cobo in [C].

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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