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arXiv · 1412.4852

Spectral measures with arbitrary Hausdorff dimensions

Xin-Rong Dai·Qiyu Sun
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Abstract

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.

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Xin-Rong Dai, Qiyu Sun. 2014-12-16. Spectral measures with arbitrary Hausdorff dimensions. https://arxiv.org/abs/1412.4852

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