Self-similar measures and the Rajchman property

DOI10.5802/ahl.94zbMath1480.11094arXiv1910.03463OpenAlexW3004067644MaRDI QIDQ2077180

Julien Brémont

Publication date: 24 February 2022

Published in: Annales Henri Lebesgue (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1910.03463

zbMATH Keywords

Rajchman measurePisot numberself-similar measureplastic number

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42A38) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Hausdorff and packing measures (28A78) Applications of Markov renewal processes (reliability, queueing networks, etc.) (60K20) Probabilistic methods for one variable harmonic analysis (42A61) Relations between ergodic theory and number theory (37A44)

Related Items (7)

On the Rajchman property for self-similar measures on \(\mathbb{R}^d\) ⋮ Fourier decay of self-similar measures and self-similar sets of uniqueness ⋮ Fourier decay for homogeneous self-affine measures ⋮ Purity results for some arithmetically defined measures ⋮ Equidistribution for measures defined by digit restrictions ⋮ Spectra of symmetric self-similar measures as multipliers in \(L^p\) ⋮ On normal numbers and self-similar measures

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