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Li, Jinjun; Zeng, Wanxiang; Wu, Min

Lower discrete Hausdorff dimension of spectra for Moran measure. (English) Zbl 07916685

Nonlinearity 37, No. 11, Article ID 115002, 17 p. (2024).
Summary: We show that the lower discrete Hausdorff dimension of any spectrum for Moran measure is bounded by the Hausdorff dimension of its support.
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MSC:

28A80 Fractals
42C05 Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis

Keywords:

lower discrete Hausdorff dimension; Moran measure; Hausdorff dimension; spectrum; Beurling dimension
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Full Text: DOI

References:

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