The repetition property for sequences on tori generated by polynomials or skew-shifts
The repetition property for sequences on tori generated by polynomials or skew-shifts
复制标题
由多项式或斜移生成的圆环上序列的重复属性
DOI：
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发表时间：
2007
期刊：
影响因子：
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通讯作者：
D. Damanik
中科院分区：
文献类型：
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作者：
M. Boshernitzan;D. Damanik
度量空间中序列的重复性质在遍历Schrödinger算子的谱分析中具有重要意义，这是我们在以前的文章中提出的一个概念。它可以用来排除这些运算符的特征值。本文研究了环面上由多项式或斜移生成的序列何时具有重复性质的问题。这提供了一类遍历Schrödinger算子，其势由环面上的斜移产生，与先前的信念相反，没有特征值。
The repetition property of a sequence in a metric space, a notion introduced by us in an earlier paper, is of importance in the spectral analysis of ergodic Schrödinger operators. It may be used to exclude eigenvalues for such operators. In this paper we study the question of when a sequence on a torus that is generated by a polynomial or a skew-shift has the repetition property. This provides classes of ergodic Schrödinger operators with potentials generated by skew-shifts on tori that have, contrary to earlier belief, no eigenvalues.