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arXiv 1611.04446math.DSmath-phmath.MP
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类Rudin-Shapiro序列的谱

Spectrum of a Rudin-Shapiro-like sequence

Lax Chan, Uwe Grimm

摘要:

我们表明,最近提出的Rudin-Shapiro序列,平衡的重量,具有纯粹的奇异连续衍射谱,在著名的Rudin-Shapiro序列的衍射是绝对连续的。这回答了关于这个新序列提出的问题。

英文摘要:

We show that a recently proposed Rudin-Shapiro-like sequence, with balanced weights, has purely singular continuous diffraction spectrum, in contrast to the well-known Rudin-Shapiro sequence whose diffraction is absolutely continuous. This answers a question that had been raised about this new sequence.

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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