Absolute continuity of complex Bernoulli convolutions
From MaRDI portal
Publication:5360415
DOI10.1017/S0305004116000335zbMath1371.28030arXiv1504.00631MaRDI QIDQ5360415
Pablo Shmerkin, B. M. Solomyak
Publication date: 28 September 2017
Full work available at URL: https://arxiv.org/abs/1504.00631
Sums of independent random variables; random walks (60G50) Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)
Related Items (9)
Recent progress on Bernoulli convolutions ⋮ Fourier decay for homogeneous self-affine measures ⋮ Entropy of Bernoulli convolutions and uniform exponential growth for linear groups ⋮ Scaling of spectra of self-similar measures with consecutive digits ⋮ Fourier decay behavior of homogeneous self-similar measures on the complex plane ⋮ On self-similar measures with absolutely continuous projections and dimension conservation in each direction ⋮ On Furstenberg's intersection conjecture, self-similar measures, and the \(L^q\) norms of convolutions ⋮ Absolute continuity of self-similar measures, their projections and convolutions ⋮ Fourier decay for self-similar measures
Cites Work
- Unnamed Item
- Unnamed Item
- Local entropy averages and projections of fractal measures
- On self-similar sets with overlaps and inverse theorems for entropy
- A Mandelbrot set for pairs of linear maps
- On the random series \(\sum\pm\lambda^ n\) (an Erdös problem)
- Smoothness of projections, Bernoulli convolutions, and the dimension of exceptions
- Dimension of fat Sierpiński gaskets
- On the exceptional set for absolute continuity of Bernoulli convolutions
- Absolute continuity of self-similar measures, their projections and convolutions
- On the distance sets of self-similar sets
- On the Mandelbrot set for pairs of linear maps
- Two-dimensional self-affine sets with interior points, and the set of uniqueness
- Modern Fourier Analysis
- Resonance between Cantor sets
- Self-Similar Sets 7. A Characterization of Self-Similar Fractals with Positive Hausdorff Measure
- On the `Mandelbrot set' for a pair of linear maps and complex Bernoulli convolutions
- Multiple Roots of [−1, 1 Power Series]
- Golden gaskets: variations on the Sierpi ski sieve
- Properties of measures supported on fat Sierpinski carpets
- On the Smoothness Properties of a Family of Bernoulli Convolutions
- Stable intersections of regular Cantor sets with large Hausdorff dimensions
This page was built for publication: Absolute continuity of complex Bernoulli convolutions