Fourier decay for self-similar measures
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Publication:4992913
DOI10.1090/proc/15515zbMath1497.28009arXiv1906.12164OpenAlexW3135287561MaRDI QIDQ4992913
Publication date: 10 June 2021
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1906.12164
Self-similar stochastic processes (60G18) Fractals (28A80) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16)
Related Items (10)
Fourier decay for homogeneous self-affine measures ⋮ Equidistribution for measures defined by digit restrictions ⋮ Spectra of symmetric self-similar measures as multipliers in \(L^p\) ⋮ The lower Fourier dimensions of in-homogeneous self-similar measures ⋮ Logarithmic Fourier decay for self conformal measures ⋮ Self-similar sets and measures on the line ⋮ Julia sets of hyperbolic rational maps have positive Fourier dimension ⋮ Pointwise normality and Fourier decay for self-conformal measures ⋮ Self-similar measures and the Rajchman property ⋮ On normal numbers and self-similar measures
Cites Work
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- Fourier transforms of Gibbs measures for the Gauss map
- Properties of some overlapping self-similar and some self-affine measures
- On self-similar sets with overlaps and inverse theorems for entropy
- Self-similar measures associated to IFS with non-uniform contraction ratios
- Refinable functions with non-integer dilations
- Seventy years of Rajchman measures
- Decrease of Fourier coefficients of stationary measures
- Absolute continuity of non-homogeneous self-similar measures
- The Hölder property for the spectrum of translation flows in genus two
- On Furstenberg's intersection conjecture, self-similar measures, and the \(L^q\) norms of convolutions
- Fourier analysis of continued fractions with restricted quotients
- Fourier transform of self-affine measures
- Kleinian Schottky groups, Patterson-Sullivan measures, and Fourier decay
- On the dimension of Bernoulli convolutions for all transcendental parameters
- Fourier dimension and spectral gaps for hyperbolic surfaces
- On the modulus of continuity for spectral measures in substitution dynamics
- On the exceptional set for absolute continuity of Bernoulli convolutions
- On Weyl's criterion for uniform distribution
- Absolute continuity of self-similar measures, their projections and convolutions
- Exact dimensionality and projections of random self-similar measures and sets
- Concentration Inequalities and Martingale Inequalities: A Survey
- On the Fourier transforms of self-similar measures
- On Bernoulli convolutions
- Absolute continuity of Bernoulli convolutions for algebraic parameters
- Self-similar measures: asymptotic bounds for the dimension and Fourier decay of smooth images
- Fourier Analysis and Hausdorff Dimension
- Absolute continuity of complex Bernoulli convolutions
- Distribution Functions and the Riemann Zeta Function
- On the Smoothness Properties of a Family of Bernoulli Convolutions
- Sets of Uniqueness and Sets of Multiplicity. II
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