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Interval Exchange Words and the Question of Hof, Knill, and Simon

机译:间隔交换词与Hof,Knill和Simon的问题

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We consider words coding non-degenerate 3 interval exchange transformation. It is known that such words contain infinitely many palindromic factors. We show that for any morphism ξ fixing such a word, either ξ or ξ~2 is conjugate to a class P morphism. By this, we provide a new family of palindromic infinite words satisfying the conjecture of Hof, Knill and Simon, as formulated by Tan.
机译:我们考虑编码非简并3间隔交换变换的单词。众所周知,这些单词包含无限多个回文因素。我们表明,对于固定该词的任何词素ξ,ξ或ξ〜2都与P类词素共轭。通过这种方式,我们提供了一个新的回文无限词家族,满足了Tan提出的Hof,Knill和Simon的猜想。

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