Absolute continuity of Bernoulli convolutions for algebraic parameters
From MaRDI portal
Publication:4613494
DOI10.1090/jams/916zbMath1408.28017arXiv1602.00261OpenAlexW2269341939WikidataQ97611615 ScholiaQ97611615MaRDI QIDQ4613494
Publication date: 1 February 2019
Published in: Journal of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1602.00261
Related Items
Purity results for some arithmetically defined measures, Absolute continuity of non-homogeneous self-similar measures, Entropy of Bernoulli convolutions and uniform exponential growth for linear groups, Spectra of symmetric self-similar measures as multipliers in \(L^p\), Finite orbits in multivalued maps and Bernoulli convolutions, Hausdorff dimension of planar self-affine sets and measures, On the dimension of Furstenberg measure for \({SL}_{2}(\mathbb {R})\) random matrix products, Overlapping Iterated Function Systems from the Perspective of Metric Number Theory, A dichotomy for the dimension of SRB measure, Self-similar sets and measures on the line, The Two-Dimensional Density of Bernoulli Convolutions, The Hölder property for the spectrum of translation flows in genus two, $$L^q$$ Dimensions of Self-similar Measures and Applications: A Survey, On Furstenberg's intersection conjecture, self-similar measures, and the \(L^q\) norms of convolutions, A Lower Bound for the Dimension of Bernoulli Convolutions, Sums of two homogeneous Cantor sets, On the dimension of Bernoulli convolutions for all transcendental parameters, Fourier decay for self-similar measures, On the dimension of Bernoulli convolutions, Orthogonal Polynomials Defined by Self-Similar Measures with Overlaps, Bernoulli convolutions with Garsia parameters in (1,√2 have continuous density functions], Typical absolute continuity for classes of dynamically defined measures
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Random walks in the group of Euclidean isometries and self-similar measures
- The discretized sum-product and projection theorems
- On self-similar sets with overlaps and inverse theorems for entropy
- Random walks on discrete groups: Boundary and entropy
- Recent progress on Bernoulli convolutions
- On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
- Entropy of Bernoulli convolutions and uniform exponential growth for linear groups
- Entropy and singularity of infinite convolutions
- On the exceptional set for absolute continuity of Bernoulli convolutions
- Sumset and Inverse Sumset Inequalities for Differential Entropy and Mutual Information
- Quantitative Density under Higher Rank Abelian Algebraic Toral Actions
- The Mahler measure of algebraic numbers: a survey
- Dimension theory of iterated function systems
- On a question of Lehmer and the number of irreducible factors of a polynomial
- Arithmetic Properties of Bernoulli Convolutions
- Sumset and Inverse Sumset Theory for Shannon Entropy
- Elements of Information Theory
- Distribution Functions and the Riemann Zeta Function
- On the Smoothness Properties of a Family of Bernoulli Convolutions