Fourier dimension of random images

DOI10.1007/s11512-016-0237-3zbMath1361.42008arXiv1506.00961OpenAlexW640057443MaRDI QIDQ517235

Fredrik Ekström

Publication date: 23 March 2017

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.00961

zbMATH Keywords

Hausdorff dimensionFourier dimensionSalem set

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Classical measure theory (28A99)

Related Items (8)

Large sets without Fourier restriction theorems ⋮ Explicit Salem sets in \(\mathbb{R}^2\) ⋮ On some properties of sparse sets: a survey ⋮ Explicit Salem sets in \(\mathbb{R}^n\) ⋮ Explicit Salem sets, Fourier restriction, and metric Diophantine approximation in thep-adic numbers ⋮ Explicit Salem sets and applications to metrical Diophantine approximation ⋮ Hausdorff and Fourier dimension of graph of continuous additive processes ⋮ Fourier dimension and avoidance of linear patterns

Cites Work

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• On the Fourier dimension and a modification
• Random measures on planar curves
• Fourier asymptotics of statistically self-similar measures
• On a theorem of Kaufman: Cantor-type construction of linear fractal Salem sets
• The Fourier dimension is not finitely stable
• On singular monotonic functions whose spectrum has a given Hausdorff dimension
• On the theorem of Jarník and Besicovitch
• Sets of Fractional Dimensions (IV): On Rational Approximation to Real Numbers

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