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Perfect fractal sets with zero Fourier dimension and arbitrarily long arithmetic progressions

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Publication:5350304
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DOI10.5186/AASFM.2017.4263zbMath1403.28006arXiv1606.06684OpenAlexW2963215602MaRDI QIDQ5350304

Chun-Kit Lai

Publication date: 28 August 2017

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.06684


zbMATH Keywords

arithmetic progressionFourier dimensionMoran setfractalsperfect set


Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fractals (28A80)


Related Items (3)

On the intermediate value property of spectra for a class of Moran spectral measures ⋮ Large sets avoiding affine copies of infinite sequences ⋮ On Assouad dimension and arithmetic progressions in sets defined by digit restrictions







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