$$L^q$$ Dimensions of Self-similar Measures and Applications: A Survey
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Publication:3294771
DOI10.1007/978-3-030-32353-0_9zbMath1446.11149arXiv1907.07121OpenAlexW2956468610MaRDI QIDQ3294771
Publication date: 29 June 2020
Published in: New Trends in Applied Harmonic Analysis, Volume 2 (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.07121
Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55) Fractals (28A80)
Related Items (4)
Self-similar sets and measures on the line ⋮ Iterated function systems with super-exponentially close cylinders ⋮ On multifractal formalism for self-similar measures with overlaps ⋮ Hausdorff and Fourier dimension of graph of continuous additive processes
Cites Work
- Unnamed Item
- Spectral gaps, additive energy, and a fractal uncertainty principle
- Dimension of slices of Sierpiński-like carpets
- On self-similar sets with overlaps and inverse theorems for entropy
- Multifractal measures and a weak separation condition
- Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems
- On Furstenberg's intersection conjecture, self-similar measures, and the \(L^q\) norms of convolutions
- On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
- Entropy of Bernoulli convolutions and uniform exponential growth for linear groups
- On the dimension of Bernoulli convolutions
- On the exceptional set for absolute continuity of Bernoulli convolutions
- Existence of L^q dimensions and entropy dimension for self-conformal measures
- Absolute continuity of self-similar measures, their projections and convolutions
- Arithmetic Properties of Bernoulli Convolutions
- Absolute continuity of Bernoulli convolutions for algebraic parameters
- On the dimension of triangular self-affine sets
- The Assouad dimension of self-affine carpets with no grid structure
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