On Assouad dimension and arithmetic progressions in sets defined by digit restrictions
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Publication:2003612
DOI10.1007/s00041-018-9641-3zbMath1414.28017arXiv1710.07144OpenAlexW2964216901MaRDI QIDQ2003612
Publication date: 9 July 2019
Published in: The Journal of Fourier Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.07144
Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Fractals (28A80)
Related Items (2)
Arithmetic progressions in self-similar sets ⋮ A note on the longest matching consecutive subsequence
Cites Work
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- Finite configurations in sparse sets
- Spectral gaps, additive energy, and a fractal uncertainty principle
- On exceptional sets in Erdős-Rényi limit theorem revisited
- Assouad dimensions of Moran sets and Cantor-like sets
- Arithmetic progressions in Salem-type subsets of the integers
- Arithmetic progressions in sets of fractional dimension
- Lectures on analysis on metric spaces
- The primes contain arbitrarily long arithmetic progressions
- Uniform dimension results for fractional Brownian motion
- Über Summen von Primzahlen und Primzahlquadraten
- Fractals in Probability and Analysis
- Some geometric properties of sets defined by digit restrictions
- Plongements lipschitziens dans ${\bbfR}\sp n$
- Arithmetic patches, weak tangents, and dimension
- Salem Sets with No Arithmetic Progressions
- Fourier Analysis and Hausdorff Dimension
- Perfect fractal sets with zero Fourier dimension and arbitrarily long arithmetic progressions
- On sets of integers containing no four elements in arithmetic progression
- Dimensions of Sets Which Uniformly Avoid Arithmetic Progressions
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