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Spectral measures with arbitrary Hausdorff dimensions

In this paper, we consider spectral properties of Riesz product measures supported on homogeneous Cantor sets and we show the existence of spectral measures with arbitrary Hausdorff dimensions, including non-atomic zero-dimensional spectral measures and one-dimensional singular spectral measures.

preprint2014arXivOpen access
Xin-Rong DaiQiyu Sun
math.FA
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Open access2 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Xin-Rong DaiQiyu Sun

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